[{"keyword":["Applied Mathematics","Analysis"],"publication":"Journal of Mathematical Analysis and Applications","publisher":"Elsevier BV","author":[{"full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","first_name":"Benjamin","id":"99427","last_name":"Hinrichs"},{"full_name":"Janssen, Daan W.","first_name":"Daan W.","last_name":"Janssen"},{"full_name":"Ziebell, Jobst","first_name":"Jobst","last_name":"Ziebell"}],"volume":528,"date_created":"2023-07-20T05:08:49Z","status":"public","user_id":"99427","year":"2023","citation":{"ieee":"B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials: A sufficient condition,” Journal of Mathematical Analysis and Applications, vol. 528, no. 1, Art. no. 127558, 2023, doi: 10.1016/j.jmaa.2023.127558.","short":"B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023).","bibtex":"@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of exponentials: A sufficient condition}, volume={528}, DOI={10.1016/j.jmaa.2023.127558}, number={1127558}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell, Jobst}, year={2023} }","mla":"Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis and Applications, vol. 528, no. 1, 127558, Elsevier BV, 2023, doi:10.1016/j.jmaa.2023.127558.","ama":"Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A sufficient condition. Journal of Mathematical Analysis and Applications. 2023;528(1). doi:10.1016/j.jmaa.2023.127558","apa":"Hinrichs, B., Janssen, D. W., & Ziebell, J. (2023). Super-Gaussian decay of exponentials: A sufficient condition. Journal of Mathematical Analysis and Applications, 528(1), Article 127558. https://doi.org/10.1016/j.jmaa.2023.127558","chicago":"Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis and Applications 528, no. 1 (2023). https://doi.org/10.1016/j.jmaa.2023.127558."},"type":"journal_article","intvolume":" 528","_id":"46100","article_number":"127558","issue":"1","department":[{"_id":"799"}],"publication_identifier":{"issn":["0022-247X"]},"publication_status":"published","external_id":{"arxiv":["2205.09189"]},"title":"Super-Gaussian decay of exponentials: A sufficient condition","language":[{"iso":"eng"}],"date_updated":"2023-07-20T05:11:12Z","doi":"10.1016/j.jmaa.2023.127558"},{"title":"Temperedness of locally symmetric spaces: The product case","user_id":"45027","external_id":{"arxiv":["2304.09573"]},"abstract":[{"text":"Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$.","lang":"eng"}],"status":"public","date_created":"2023-07-24T07:52:23Z","author":[{"full_name":"Weich, Tobias","first_name":"Tobias","last_name":"Weich"},{"last_name":"Wolf","first_name":"Lasse L.","full_name":"Wolf, Lasse L."}],"department":[{"_id":"10"}],"publication":"arXiv:2304.09573","_id":"46117","date_updated":"2023-07-24T07:53:29Z","type":"preprint","year":"2023","citation":{"short":"T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023).","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” arXiv:2304.09573. 2023.","chicago":"Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. arXiv:230409573. Published online 2023.","apa":"Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces: The product case. In arXiv:2304.09573.","bibtex":"@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces: The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf, Lasse L.}, year={2023} }","mla":"Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023."},"language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"doi":"10.1016/j.tate.2023.104270","date_updated":"2023-07-26T08:57:01Z","publication_identifier":{"issn":["0742-051X"]},"publication_status":"published","department":[{"_id":"611"}],"title":"Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?","year":"2023","type":"journal_article","citation":{"chicago":"Bruns, Julia, Maike Hagena, and Hedwig Gasteiger. “Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?” Teaching and Teacher Education 132 (2023). https://doi.org/10.1016/j.tate.2023.104270.","ama":"Bruns J, Hagena M, Gasteiger H. Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects? Teaching and Teacher Education. 2023;132. doi:10.1016/j.tate.2023.104270","apa":"Bruns, J., Hagena, M., & Gasteiger, H. (2023). Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects? Teaching and Teacher Education, 132, Article 104270. https://doi.org/10.1016/j.tate.2023.104270","mla":"Bruns, Julia, et al. “Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?” Teaching and Teacher Education, vol. 132, 104270, Elsevier BV, 2023, doi:10.1016/j.tate.2023.104270.","bibtex":"@article{Bruns_Hagena_Gasteiger_2023, title={Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?}, volume={132}, DOI={10.1016/j.tate.2023.104270}, number={104270}, journal={Teaching and Teacher Education}, publisher={Elsevier BV}, author={Bruns, Julia and Hagena, Maike and Gasteiger, Hedwig}, year={2023} }","short":"J. Bruns, M. Hagena, H. Gasteiger, Teaching and Teacher Education 132 (2023).","ieee":"J. Bruns, M. Hagena, and H. Gasteiger, “Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?,” Teaching and Teacher Education, vol. 132, Art. no. 104270, 2023, doi: 10.1016/j.tate.2023.104270."},"article_number":"104270","_id":"46155","intvolume":" 132","volume":132,"date_created":"2023-07-26T08:55:26Z","status":"public","publication":"Teaching and Teacher Education","keyword":["Education"],"publisher":"Elsevier BV","author":[{"full_name":"Bruns, Julia","first_name":"Julia","last_name":"Bruns"},{"last_name":"Hagena","full_name":"Hagena, Maike","first_name":"Maike"},{"last_name":"Gasteiger","full_name":"Gasteiger, Hedwig","first_name":"Hedwig"}],"user_id":"72183"},{"doi":"10.1007/978-3-031-14175-1","date_updated":"2023-07-26T10:17:43Z","_id":"46157","type":"book_editor","citation":{"short":"R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds., Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023.","ieee":"R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds., Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer International Publishing, 2023.","ama":"Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing; 2023. doi:10.1007/978-3-031-14175-1","apa":"Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C. (Eds.). (2023). Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1","chicago":"Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen, and Carl Winsløw, eds. Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1.","mla":"Biehler, Rolf, et al., editors. Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1.","bibtex":"@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham}, title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={10.1007/978-3-031-14175-1}, publisher={Springer International Publishing}, year={2023} }"},"year":"2023","language":[{"iso":"eng"}],"title":"Practice-Oriented Research in Tertiary Mathematics Education","user_id":"37888","place":"Cham","editor":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"id":"30933","last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","orcid":"0000-0001-9887-2074","first_name":"Michael"},{"full_name":"Gueudet, Ghislaine","first_name":"Ghislaine","last_name":"Gueudet"},{"last_name":"Rasmussen","full_name":"Rasmussen, Chris","first_name":"Chris"},{"full_name":"Winsløw, Carl","first_name":"Carl","last_name":"Winsløw"}],"publication_status":"published","publication_identifier":{"isbn":["9783031141744","9783031141751"],"issn":["1869-4918","1869-4926"]},"status":"public","date_created":"2023-07-26T10:16:08Z","publisher":"Springer International Publishing","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}]},{"page":"1548-1565","type":"journal_article","citation":{"short":"Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, SIAM Journal on Discrete Mathematics 37 (2023) 1548–1565.","ieee":"Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs,” SIAM Journal on Discrete Mathematics, vol. 37, no. 3, pp. 1548–1565, 2023, doi: 10.1137/22m1500654.","chicago":"Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf. “Pairwise Disjoint Perfect Matchings in R-Edge-Connected r-Regular Graphs.” SIAM Journal on Discrete Mathematics 37, no. 3 (2023): 1548–65. https://doi.org/10.1137/22m1500654.","ama":"Ma Y, Mattiolo D, Steffen E, Wolf IH. Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs. SIAM Journal on Discrete Mathematics. 2023;37(3):1548-1565. doi:10.1137/22m1500654","apa":"Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2023). Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs. SIAM Journal on Discrete Mathematics, 37(3), 1548–1565. https://doi.org/10.1137/22m1500654","bibtex":"@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs}, volume={37}, DOI={10.1137/22m1500654}, number={3}, journal={SIAM Journal on Discrete Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={1548–1565} }","mla":"Ma, Yulai, et al. “Pairwise Disjoint Perfect Matchings in R-Edge-Connected r-Regular Graphs.” SIAM Journal on Discrete Mathematics, vol. 37, no. 3, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 1548–65, doi:10.1137/22m1500654."},"year":"2023","intvolume":" 37","_id":"46256","issue":"3","keyword":["General Mathematics"],"publication":"SIAM Journal on Discrete Mathematics","publisher":"Society for Industrial & Applied Mathematics (SIAM)","author":[{"first_name":"Yulai","full_name":"Ma, Yulai","last_name":"Ma","id":"92748"},{"full_name":"Mattiolo, Davide","first_name":"Davide","last_name":"Mattiolo"},{"last_name":"Steffen","id":"15548","first_name":"Eckhard","full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401"},{"full_name":"Wolf, Isaak Hieronymus","first_name":"Isaak Hieronymus","id":"88145","last_name":"Wolf"}],"date_created":"2023-08-01T10:08:32Z","status":"public","volume":37,"user_id":"15540","language":[{"iso":"eng"}],"date_updated":"2023-08-01T10:09:35Z","doi":"10.1137/22m1500654","department":[{"_id":"542"}],"publication_identifier":{"issn":["0895-4801","1095-7146"]},"publication_status":"published","title":"Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs"},{"author":[{"full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","first_name":"Christian","id":"85279","last_name":"Offen"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","id":"16494"}],"quality_controlled":"1","publisher":"Springer, Cham.","publication":"Geometric Science of Information","keyword":["System identification","discrete Lagrangians","travelling waves"],"file_date_updated":"2023-08-02T12:04:17Z","file":[{"file_size":1938962,"title":"Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves","file_id":"46273","creator":"coffen","content_type":"application/pdf","date_updated":"2023-08-02T12:04:17Z","relation":"main_file","description":"The article shows how to learn models of dynamical systems\nfrom data which are governed by an unknown variational PDE. Rather\nthan employing reduction techniques, we learn a discrete field theory\ngoverned by a discrete Lagrangian density Ld that is modelled as a neural network. Careful regularisation of the loss function for training Ld is\nnecessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of\nthe discrete Euler–Lagrange equations. Secondly, we develop a method to\nfind solutions to machine learned discrete field theories which constitute\ntravelling waves of the underlying continuous PDE.","date_created":"2023-08-02T12:04:17Z","file_name":"LDensityLearning.pdf","access_level":"open_access"}],"volume":14071,"has_accepted_license":"1","status":"public","date_created":"2023-02-16T11:32:48Z","abstract":[{"text":"The article shows how to learn models of dynamical systems from data which are governed by an unknown variational PDE. Rather than employing reduction techniques, we learn a discrete field theory governed by a discrete Lagrangian density $L_d$ that is modelled as a neural network. Careful regularisation of the loss function for training $L_d$ is necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of the discrete Euler--Lagrange equations. Secondly, we develop a method to find solutions to machine learned discrete field theories which constitute travelling waves of the underlying continuous PDE.","lang":"eng"}],"ddc":["510"],"user_id":"85279","citation":{"short":"C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.","ieee":"C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,” in Geometric Science of Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071, pp. 569–579, doi: 10.1007/978-3-031-38271-0_57.","chicago":"Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” In Geometric Science of Information, edited by F Nielsen and F Barbaresco, 14071:569–79. Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. https://doi.org/10.1007/978-3-031-38271-0_57.","apa":"Offen, C., & Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In F. Nielsen & F. Barbaresco (Eds.), Geometric Science of Information (Vol. 14071, pp. 569–579). Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_57","ama":"Offen C, Ober-Blöbaum S. Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds. Geometric Science of Information. Vol 14071. Lecture Notes in Computer Science (LNCS). Springer, Cham.; 2023:569-579. doi:10.1007/978-3-031-38271-0_57","mla":"Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” Geometric Science of Information, edited by F Nielsen and F Barbaresco, vol. 14071, Springer, Cham., 2023, pp. 569–79, doi:10.1007/978-3-031-38271-0_57.","bibtex":"@inproceedings{Offen_Ober-Blöbaum_2023, series={Lecture Notes in Computer Science (LNCS)}, title={Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves}, volume={14071}, DOI={10.1007/978-3-031-38271-0_57}, booktitle={Geometric Science of Information}, publisher={Springer, Cham.}, author={Offen, Christian and Ober-Blöbaum, Sina}, editor={Nielsen, F and Barbaresco, F}, year={2023}, pages={569–579}, collection={Lecture Notes in Computer Science (LNCS)} }"},"year":"2023","type":"conference","page":"569-579","_id":"42163","intvolume":" 14071","conference":{"end_date":"2023-09-01","name":" GSI'23 6th International Conference on Geometric Science of Information","start_date":"2023-08-30","location":"Saint-Malo, Palais du Grand Large, France"},"department":[{"_id":"636"}],"editor":[{"last_name":"Nielsen","first_name":"F","full_name":"Nielsen, F"},{"first_name":"F","full_name":"Barbaresco, F","last_name":"Barbaresco"}],"publication_status":"published","publication_identifier":{"eisbn":["978-3-031-38271-0"]},"external_id":{"arxiv":["2302.08232 "]},"title":"Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves","related_material":{"link":[{"description":"GitHub","relation":"software","url":"https://github.com/Christian-Offen/LagrangianDensityML"}]},"series_title":"Lecture Notes in Computer Science (LNCS)","language":[{"iso":"eng"}],"date_updated":"2023-08-10T08:34:04Z","doi":"10.1007/978-3-031-38271-0_57","oa":"1"},{"publication_status":"epub_ahead","publication_identifier":{"issn":["0377-0427"]},"department":[{"_id":"636"}],"related_material":{"link":[{"url":"https://github.com/Christian-Offen/LagrangianShadowIntegration","relation":"software"}]},"title":"Variational Learning of Euler–Lagrange Dynamics from Data","external_id":{"arxiv":["2112.12619"]},"language":[{"iso":"eng"}],"oa":"1","doi":"10.1016/j.cam.2022.114780","date_updated":"2023-08-10T08:42:39Z","has_accepted_license":"1","status":"public","date_created":"2022-01-11T13:24:00Z","volume":421,"file":[{"file_size":3640770,"title":"Variational Learning of Euler–Lagrange Dynamics from Data","access_level":"open_access","date_created":"2022-06-28T15:25:50Z","file_name":"ShadowLagrangian_revision1_journal_style_arxiv.pdf","date_updated":"2022-06-28T15:25:50Z","content_type":"application/pdf","relation":"main_file","description":"The principle of least action is one of the most fundamental physical principle. It says that among all possible motions\nconnecting two points in a phase space, the system will exhibit those motions which extremise an action functional.\nMany qualitative features of dynamical systems, such as the presence of conservation laws and energy balance equa-\ntions, are related to the existence of an action functional. Incorporating variational structure into learning algorithms\nfor dynamical systems is, therefore, crucial in order to make sure that the learned model shares important features\nwith the exact physical system. In this paper we show how to incorporate variational principles into trajectory predic-\ntions of learned dynamical systems. The novelty of this work is that (1) our technique relies only on discrete position\ndata of observed trajectories. Velocities or conjugate momenta do not need to be observed or approximated and no\nprior knowledge about the form of the variational principle is assumed. Instead, they are recovered using backward\nerror analysis. (2) Moreover, our technique compensates discretisation errors when trajectories are computed from the\nlearned system. This is important when moderate to large step-sizes are used and high accuracy is required. For this,\nwe introduce and rigorously analyse the concept of inverse modified Lagrangians by developing an inverse version of\nvariational backward error analysis. (3) Finally, we introduce a method to perform system identification from position\nobservations only, based on variational backward error analysis.","file_id":"32274","creator":"coffen"}],"quality_controlled":"1","publisher":"Elsevier","author":[{"id":"16494","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"},{"full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","first_name":"Christian","id":"85279","last_name":"Offen"}],"file_date_updated":"2022-06-28T15:25:50Z","keyword":["Lagrangian learning","variational backward error analysis","modified Lagrangian","variational integrators","physics informed learning"],"publication":"Journal of Computational and Applied Mathematics","user_id":"85279","ddc":["510"],"article_type":"original","abstract":[{"lang":"eng","text":"The principle of least action is one of the most fundamental physical principle. It says that among all possible motions connecting two points in a phase space, the system will exhibit those motions which extremise an action functional. Many qualitative features of dynamical systems, such as the presence of conservation laws and energy balance equations, are related to the existence of an action functional. Incorporating variational structure into learning algorithms for dynamical systems is, therefore, crucial in order to make sure that the learned model shares important features with the exact physical system. In this paper we show how to incorporate variational principles into trajectory predictions of learned dynamical systems. The novelty of this work is that (1) our technique relies only on discrete position data of observed trajectories. Velocities or conjugate momenta do not need to be observed or approximated and no prior knowledge about the form of the variational principle is assumed. Instead, they are recovered using backward error analysis. (2) Moreover, our technique compensates discretisation errors when trajectories are computed from the learned system. This is important when moderate to large step-sizes are used and high accuracy is required. For this,\r\nwe introduce and rigorously analyse the concept of inverse modified Lagrangians by developing an inverse version of variational backward error analysis. (3) Finally, we introduce a method to perform system identification from position observations only, based on variational backward error analysis."}],"citation":{"apa":"Ober-Blöbaum, S., & Offen, C. (2023). Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics, 421, 114780. https://doi.org/10.1016/j.cam.2022.114780","ama":"Ober-Blöbaum S, Offen C. Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics. 2023;421:114780. doi:10.1016/j.cam.2022.114780","chicago":"Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics 421 (2023): 114780. https://doi.org/10.1016/j.cam.2022.114780.","bibtex":"@article{Ober-Blöbaum_Offen_2023, title={Variational Learning of Euler–Lagrange Dynamics from Data}, volume={421}, DOI={10.1016/j.cam.2022.114780}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier}, author={Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={114780} }","mla":"Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics, vol. 421, Elsevier, 2023, p. 114780, doi:10.1016/j.cam.2022.114780.","short":"S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics 421 (2023) 114780.","ieee":"S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics from Data,” Journal of Computational and Applied Mathematics, vol. 421, p. 114780, 2023, doi: 10.1016/j.cam.2022.114780."},"type":"journal_article","year":"2023","page":"114780","_id":"29240","intvolume":" 421"},{"publication_status":"published","department":[{"_id":"636"}],"title":"Backward error analysis for conjugate symplectic methods","related_material":{"link":[{"url":"https://github.com/Christian-Offen/BEAConjugateSymplectic","relation":"software"}]},"external_id":{"arxiv":["2201.03911"]},"language":[{"iso":"eng"}],"doi":"10.3934/jgm.2023005","oa":"1","date_updated":"2023-08-10T08:40:30Z","volume":15,"date_created":"2022-01-11T12:48:39Z","status":"public","has_accepted_license":"1","keyword":["variational integrators","backward error analysis","Euler--Lagrange equations","multistep methods","conjugate symplectic methods"],"publication":"Journal of Geometric Mechanics","file_date_updated":"2022-08-12T16:48:59Z","publisher":"AIMS Press","author":[{"first_name":"Robert","full_name":"McLachlan, Robert","last_name":"McLachlan"},{"last_name":"Offen","id":"85279","first_name":"Christian","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057"}],"quality_controlled":"1","file":[{"description":"The numerical solution of an ordinary differential equation can be interpreted as the exact solution of a nearby modified equation. Investigating the behaviour of numerical solutions by analysing the modified equation is known as backward error analysis. If the original and modified equation share structural properties, then the exact and approximate solution share geometric features such as the existence of conserved quantities. Conjugate symplectic methods preserve a modified symplectic form and a modified Hamiltonian when applied to a Hamiltonian system. We show how a blended version of variational and symplectic techniques can be used to compute modified symplectic and Hamiltonian structures. In contrast to other approaches, our backward error analysis method does not rely on an ansatz but computes the structures systematically, provided that a variational formulation of the method is known. The technique is illustrated on the example of symmetric linear multistep methods with matrix coefficients.","relation":"main_file","date_updated":"2022-08-12T16:48:59Z","content_type":"application/pdf","file_id":"32801","creator":"coffen","access_level":"open_access","date_created":"2022-08-12T16:48:59Z","file_name":"BEA_MultiStep_Matrix.pdf","title":"Backward error analysis for conjugate symplectic methods","file_size":827030}],"ddc":["510"],"user_id":"85279","abstract":[{"lang":"eng","text":"The numerical solution of an ordinary differential equation can be interpreted as the exact solution of a nearby modified equation. Investigating the behaviour of numerical solutions by analysing the modified equation is known as backward error analysis. If the original and modified equation share structural properties, then the exact and approximate solution share geometric features such as the existence of conserved quantities. Conjugate symplectic methods preserve a modified symplectic form and a modified Hamiltonian when applied to a Hamiltonian system. We show how a blended version of variational and symplectic techniques can be used to compute modified symplectic and Hamiltonian structures. In contrast to other approaches, our backward error analysis method does not rely on an ansatz but computes the structures systematically, provided that a variational formulation of the method is known. The technique is illustrated on the example of symmetric linear multistep methods with matrix coefficients."}],"article_type":"original","page":"98-115","year":"2023","type":"journal_article","citation":{"short":"R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.","ieee":"R. McLachlan and C. Offen, “Backward error analysis for conjugate symplectic methods,” Journal of Geometric Mechanics, vol. 15, no. 1, pp. 98–115, 2023, doi: 10.3934/jgm.2023005.","apa":"McLachlan, R., & Offen, C. (2023). Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics, 15(1), 98–115. https://doi.org/10.3934/jgm.2023005","ama":"McLachlan R, Offen C. Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics. 2023;15(1):98-115. doi:10.3934/jgm.2023005","chicago":"McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics 15, no. 1 (2023): 98–115. https://doi.org/10.3934/jgm.2023005.","bibtex":"@article{McLachlan_Offen_2023, title={Backward error analysis for conjugate symplectic methods}, volume={15}, DOI={10.3934/jgm.2023005}, number={1}, journal={Journal of Geometric Mechanics}, publisher={AIMS Press}, author={McLachlan, Robert and Offen, Christian}, year={2023}, pages={98–115} }","mla":"McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics, vol. 15, no. 1, AIMS Press, 2023, pp. 98–115, doi:10.3934/jgm.2023005."},"issue":"1","_id":"29236","intvolume":" 15"},{"department":[{"_id":"636"}],"publication_status":"published","publication_identifier":{"issn":["1054-1500"]},"external_id":{"arxiv":["2301.07928"]},"title":"Hamiltonian Neural Networks with Automatic Symmetry Detection","related_material":{"link":[{"relation":"software","description":"GitHub","url":"https://github.com/eva-dierkes/HNN_withSymmetries"}]},"language":[{"iso":"eng"}],"date_updated":"2023-08-10T08:37:01Z","doi":"10.1063/5.0142969","oa":"1","publication":"Chaos","file_date_updated":"2023-04-26T16:20:56Z","publisher":"AIP Publishing","author":[{"first_name":"Eva","full_name":"Dierkes, Eva","last_name":"Dierkes"},{"first_name":"Christian","orcid":"0000-0002-5940-8057","full_name":"Offen, Christian","last_name":"Offen","id":"85279"},{"id":"16494","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"},{"first_name":"Kathrin","full_name":"Flaßkamp, Kathrin","last_name":"Flaßkamp"}],"file":[{"access_level":"open_access","date_created":"2023-04-26T16:20:56Z","file_name":"JournalPaper_main.pdf","title":"Hamiltonian Neural Networks with Automatic Symmetry Detection","file_size":5200111,"relation":"main_file","description":"Incorporating physical system knowledge into data-driven\nsystem identification has been shown to be beneficial. The\napproach presented in this article combines learning of an\nenergy-conserving model from data with detecting a Lie\ngroup representation of the unknown system symmetry.\nThe proposed approach can improve the learned model\nand reveal underlying symmetry simultaneously.","date_updated":"2023-04-26T16:20:56Z","content_type":"application/pdf","creator":"coffen","file_id":"44205"}],"volume":33,"date_created":"2023-01-20T09:10:06Z","status":"public","has_accepted_license":"1","abstract":[{"text":"Recently, Hamiltonian neural networks (HNN) have been introduced to incorporate prior physical knowledge when\r\nlearning the dynamical equations of Hamiltonian systems. Hereby, the symplectic system structure is preserved despite\r\nthe data-driven modeling approach. However, preserving symmetries requires additional attention. In this research, we\r\nenhance the HNN with a Lie algebra framework to detect and embed symmetries in the neural network. This approach\r\nallows to simultaneously learn the symmetry group action and the total energy of the system. As illustrating examples,\r\na pendulum on a cart and a two-body problem from astrodynamics are considered.","lang":"eng"}],"article_type":"original","ddc":["510"],"user_id":"85279","year":"2023","type":"journal_article","citation":{"mla":"Dierkes, Eva, et al. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos, vol. 33, no. 6, 063115, AIP Publishing, 2023, doi:10.1063/5.0142969.","bibtex":"@article{Dierkes_Offen_Ober-Blöbaum_Flaßkamp_2023, title={Hamiltonian Neural Networks with Automatic Symmetry Detection}, volume={33}, DOI={10.1063/5.0142969}, number={6063115}, journal={Chaos}, publisher={AIP Publishing}, author={Dierkes, Eva and Offen, Christian and Ober-Blöbaum, Sina and Flaßkamp, Kathrin}, year={2023} }","ama":"Dierkes E, Offen C, Ober-Blöbaum S, Flaßkamp K. Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos. 2023;33(6). doi:10.1063/5.0142969","apa":"Dierkes, E., Offen, C., Ober-Blöbaum, S., & Flaßkamp, K. (2023). Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos, 33(6), Article 063115. https://doi.org/10.1063/5.0142969","chicago":"Dierkes, Eva, Christian Offen, Sina Ober-Blöbaum, and Kathrin Flaßkamp. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos 33, no. 6 (2023). https://doi.org/10.1063/5.0142969.","ieee":"E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural Networks with Automatic Symmetry Detection,” Chaos, vol. 33, no. 6, Art. no. 063115, 2023, doi: 10.1063/5.0142969.","short":"E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023)."},"intvolume":" 33","_id":"37654","article_number":"063115","issue":"6"},{"date_created":"2021-08-17T12:25:09Z","status":"public","volume":33,"publication":"Journal of Nonlinear Science","author":[{"last_name":"Nüske","id":"81513","first_name":"Feliks","full_name":"Nüske, Feliks","orcid":"0000-0003-2444-7889"},{"first_name":"Sebastian","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","last_name":"Peitz","id":"47427"},{"last_name":"Philipp","full_name":"Philipp, Friedrich","first_name":"Friedrich"},{"last_name":"Schaller","first_name":"Manuel","full_name":"Schaller, Manuel"},{"last_name":"Worthmann","first_name":"Karl","full_name":"Worthmann, Karl"}],"user_id":"47427","abstract":[{"lang":"eng","text":"The Koopman operator has become an essential tool for data-driven approximation of dynamical (control) systems in recent years, e.g., via extended dynamic mode decomposition. Despite its popularity, convergence results and, in particular, error bounds are still quite scarce. In this paper, we derive probabilistic bounds for the approximation error and the prediction error depending on the number of training data points; for both ordinary and stochastic differential equations. Moreover, we extend our analysis to nonlinear control-affine systems using either ergodic trajectories or i.i.d.\r\nsamples. Here, we exploit the linearity of the Koopman generator to obtain a bilinear system and, thus, circumvent the curse of dimensionality since we do not autonomize the system by augmenting the state by the control inputs. To the\r\nbest of our knowledge, this is the first finite-data error analysis in the stochastic and/or control setting. Finally, we demonstrate the effectiveness of the proposed approach by comparing it with state-of-the-art techniques showing its superiority whenever state and control are coupled."}],"type":"journal_article","citation":{"chicago":"Nüske, Feliks, Sebastian Peitz, Friedrich Philipp, Manuel Schaller, and Karl Worthmann. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.” Journal of Nonlinear Science 33 (2023). https://doi.org/10.1007/s00332-022-09862-1.","ama":"Nüske F, Peitz S, Philipp F, Schaller M, Worthmann K. Finite-data error bounds for Koopman-based prediction and control. Journal of Nonlinear Science. 2023;33. doi:10.1007/s00332-022-09862-1","apa":"Nüske, F., Peitz, S., Philipp, F., Schaller, M., & Worthmann, K. (2023). Finite-data error bounds for Koopman-based prediction and control. Journal of Nonlinear Science, 33, Article 14. https://doi.org/10.1007/s00332-022-09862-1","bibtex":"@article{Nüske_Peitz_Philipp_Schaller_Worthmann_2023, title={Finite-data error bounds for Koopman-based prediction and control}, volume={33}, DOI={10.1007/s00332-022-09862-1}, number={14}, journal={Journal of Nonlinear Science}, author={Nüske, Feliks and Peitz, Sebastian and Philipp, Friedrich and Schaller, Manuel and Worthmann, Karl}, year={2023} }","mla":"Nüske, Feliks, et al. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.” Journal of Nonlinear Science, vol. 33, 14, 2023, doi:10.1007/s00332-022-09862-1.","short":"F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023).","ieee":"F. Nüske, S. Peitz, F. Philipp, M. Schaller, and K. Worthmann, “Finite-data error bounds for Koopman-based prediction and control,” Journal of Nonlinear Science, vol. 33, Art. no. 14, 2023, doi: 10.1007/s00332-022-09862-1."},"year":"2023","main_file_link":[{"url":"https://link.springer.com/content/pdf/10.1007/s00332-022-09862-1.pdf","open_access":"1"}],"article_number":"14","_id":"23428","intvolume":" 33","publication_status":"published","department":[{"_id":"101"},{"_id":"655"}],"title":"Finite-data error bounds for Koopman-based prediction and control","language":[{"iso":"eng"}],"oa":"1","doi":"10.1007/s00332-022-09862-1","date_updated":"2023-08-24T07:50:12Z"},{"doi":"10.1137/21M1412682","date_updated":"2023-08-25T09:24:50Z","language":[{"iso":"eng"}],"related_material":{"link":[{"relation":"software","description":"GitHub","url":"https://github.com/lueckem/quadrature-ML"}]},"title":"Efficient time stepping for numerical integration using reinforcement learning","external_id":{"arxiv":["arXiv:2104.03562"]},"publication_status":"published","department":[{"_id":"101"},{"_id":"636"},{"_id":"355"},{"_id":"655"}],"issue":"2","_id":"21600","intvolume":" 45","page":"A579-A595","year":"2023","type":"journal_article","citation":{"ieee":"M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement learning,” SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682.","short":"M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.","bibtex":"@article{Dellnitz_Hüllermeier_Lücke_Ober-Blöbaum_Offen_Peitz_Pfannschmidt_2023, title={Efficient time stepping for numerical integration using reinforcement learning}, volume={45}, DOI={10.1137/21M1412682}, number={2}, journal={SIAM Journal on Scientific Computing}, author={Dellnitz, Michael and Hüllermeier, Eyke and Lücke, Marvin and Ober-Blöbaum, Sina and Offen, Christian and Peitz, Sebastian and Pfannschmidt, Karlson}, year={2023}, pages={A579–A595} }","mla":"Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing, vol. 45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682.","apa":"Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement learning. SIAM Journal on Scientific Computing, 45(2), A579–A595. https://doi.org/10.1137/21M1412682","ama":"Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical integration using reinforcement learning. SIAM Journal on Scientific Computing. 2023;45(2):A579-A595. doi:10.1137/21M1412682","chicago":"Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing 45, no. 2 (2023): A579–95. https://doi.org/10.1137/21M1412682."},"main_file_link":[{"url":"https://epubs.siam.org/doi/reader/10.1137/21M1412682"}],"user_id":"47427","ddc":["510"],"abstract":[{"lang":"eng","text":"Many problems in science and engineering require an efficient numerical approximation of integrals or solutions to differential equations. For systems with rapidly changing dynamics, an equidistant discretization is often inadvisable as it results in prohibitively large errors or computational effort. To this end, adaptive schemes, such as solvers based on Runge–Kutta pairs, have been developed which adapt the step size based on local error estimations at each step. While the classical schemes apply very generally and are highly efficient on regular systems, they can behave suboptimally when an inefficient step rejection mechanism is triggered by structurally complex systems such as chaotic systems. To overcome these issues, we propose a method to tailor numerical schemes to the problem class at hand. This is achieved by combining simple, classical quadrature rules or ODE solvers with data-driven time-stepping controllers. Compared with learning solution operators to ODEs directly, it generalizes better to unseen initial data as our approach employs classical numerical schemes as base methods. At the same time it can make use of identified structures of a problem class and, therefore, outperforms state-of-the-art adaptive schemes. Several examples demonstrate superior efficiency. Source code is available at https://github.com/lueckem/quadrature-ML."}],"date_created":"2021-04-09T07:59:19Z","has_accepted_license":"1","status":"public","volume":45,"publication":"SIAM Journal on Scientific Computing","author":[{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"},{"first_name":"Eyke","full_name":"Hüllermeier, Eyke","last_name":"Hüllermeier","id":"48129"},{"full_name":"Lücke, Marvin","first_name":"Marvin","last_name":"Lücke"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","id":"16494"},{"last_name":"Offen","id":"85279","first_name":"Christian","orcid":"0000-0002-5940-8057","full_name":"Offen, Christian"},{"first_name":"Sebastian","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","last_name":"Peitz","id":"47427"},{"id":"13472","last_name":"Pfannschmidt","orcid":"0000-0001-9407-7903","full_name":"Pfannschmidt, Karlson","first_name":"Karlson"}]},{"user_id":"44184","title":"Second grader´s understanding of doubling and halfing in various representations","status":"public","date_created":"2023-08-30T09:40:23Z","editor":[{"last_name":"Novotna","full_name":"Novotna, J.","first_name":"J."},{"full_name":"Moraova, H.","first_name":"H.","last_name":"Moraova"}],"author":[{"full_name":"Schwerin, Imke","first_name":"Imke","id":"48912","last_name":"Schwerin"},{"full_name":"Häsel-Weide, Uta","first_name":"Uta","id":"60267","last_name":"Häsel-Weide"}],"publisher":"Charles University","department":[{"_id":"543"}],"publication":"International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education","date_updated":"2023-08-30T09:55:41Z","_id":"46757","conference":{"location":"Prag","name":"International Symposium in Elementary Mathematics Teaching"},"language":[{"iso":"eng"}],"citation":{"ama":"Schwerin I, Häsel-Weide U. Second grader´s understanding of doubling and halfing in various representations. In: Novotna J, Moraova H, eds. International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education. Charles University; 2023:297-305.","apa":"Schwerin, I., & Häsel-Weide, U. (2023). Second grader´s understanding of doubling and halfing in various representations. In J. Novotna & H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education (pp. 297–305). Charles University.","chicago":"Schwerin, Imke, and Uta Häsel-Weide. “Second Grader´s Understanding of Doubling and Halfing in Various Representations.” In International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, 297–305. Charles University, 2023.","bibtex":"@inproceedings{Schwerin_Häsel-Weide_2023, title={Second grader´s understanding of doubling and halfing in various representations}, booktitle={International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education}, publisher={Charles University}, author={Schwerin, Imke and Häsel-Weide, Uta}, editor={Novotna, J. and Moraova, H.}, year={2023}, pages={297–305} }","mla":"Schwerin, Imke, and Uta Häsel-Weide. “Second Grader´s Understanding of Doubling and Halfing in Various Representations.” International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, Charles University, 2023, pp. 297–305.","short":"I. Schwerin, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Charles University, 2023, pp. 297–305.","ieee":"I. Schwerin and U. Häsel-Weide, “Second grader´s understanding of doubling and halfing in various representations,” in International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Prag, 2023, pp. 297–305."},"year":"2023","type":"conference","page":"297-305"},{"language":[{"iso":"ger"}],"page":"297-318","type":"book_chapter","citation":{"ieee":"R. Schmidt, C. Tenberge, and U. Häsel-Weide, “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern,” in Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, N. Vöing, R. Schmidt, and I. Neiske, Eds. Visual Ink Publishing, 2023, pp. 297–318.","short":"R. Schmidt, C. Tenberge, U. Häsel-Weide, in: N. Vöing, R. Schmidt, I. Neiske (Eds.), Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, Visual Ink Publishing, 2023, pp. 297–318.","bibtex":"@inbook{Schmidt_Tenberge_Häsel-Weide_2023, title={Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern}, booktitle={Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre}, publisher={Visual Ink Publishing}, author={Schmidt, Rebekka and Tenberge, Claudia and Häsel-Weide, Uta}, editor={Vöing, N. and Schmidt, R. and Neiske, I.}, year={2023}, pages={297–318} }","mla":"Schmidt, Rebekka, et al. “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern.” Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, edited by N. Vöing et al., Visual Ink Publishing, 2023, pp. 297–318.","chicago":"Schmidt, Rebekka, Claudia Tenberge, and Uta Häsel-Weide. “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern.” In Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, edited by N. Vöing, R. Schmidt, and I. Neiske, 297–318. Visual Ink Publishing, 2023.","ama":"Schmidt R, Tenberge C, Häsel-Weide U. Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern. In: Vöing N, Schmidt R, Neiske I, eds. Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre. Visual Ink Publishing; 2023:297-318.","apa":"Schmidt, R., Tenberge, C., & Häsel-Weide, U. (2023). Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern. In N. Vöing, R. Schmidt, & I. Neiske (Eds.), Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre (pp. 297–318). Visual Ink Publishing."},"year":"2023","date_updated":"2023-08-30T09:55:46Z","_id":"46758","date_created":"2023-08-30T09:54:47Z","status":"public","editor":[{"full_name":"Vöing, N.","first_name":"N.","last_name":"Vöing"},{"full_name":"Schmidt, R.","first_name":"R.","last_name":"Schmidt"},{"last_name":"Neiske","full_name":"Neiske, I.","first_name":"I."}],"department":[{"_id":"543"}],"publication":"Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre","author":[{"first_name":"Rebekka","full_name":"Schmidt, Rebekka","last_name":"Schmidt","id":"58565"},{"full_name":"Tenberge, Claudia","first_name":"Claudia","id":"67302","last_name":"Tenberge"},{"id":"60267","last_name":"Häsel-Weide","full_name":"Häsel-Weide, Uta","first_name":"Uta"}],"publisher":"Visual Ink Publishing","user_id":"44184","title":"Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern"},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication":"Handbuch der Mathematikdidaktik","publisher":"Springer","author":[{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"},{"last_name":"Engel","full_name":"Engel, Joachim","first_name":"Joachim"},{"first_name":"Daniel","full_name":"Frischemeier, Daniel","last_name":"Frischemeier"}],"publication_identifier":{"isbn":["9783662666036","9783662666043"]},"publication_status":"published","editor":[{"last_name":"Bruder","full_name":"Bruder, Regina","first_name":"Regina"},{"full_name":"Büchter, A.","first_name":"A.","last_name":"Büchter"},{"full_name":"Gasteiger, H.","first_name":"H.","last_name":"Gasteiger"},{"last_name":"Schmidt-Thieme","full_name":"Schmidt-Thieme, B.","first_name":"B."},{"first_name":"HG.","full_name":"Weigand, HG.","last_name":"Weigand"}],"date_created":"2023-09-25T11:15:18Z","status":"public","place":"Berlin, Heidelberg","title":"Stochastik: Leitidee Daten und Zufall","user_id":"37888","citation":{"ama":"Biehler R, Engel J, Frischemeier D. Stochastik: Leitidee Daten und Zufall. In: Bruder R, Büchter A, Gasteiger H, Schmidt-Thieme B, Weigand HG, eds. Handbuch Der Mathematikdidaktik. Springer; 2023. doi:10.1007/978-3-662-66604-3_8","apa":"Biehler, R., Engel, J., & Frischemeier, D. (2023). Stochastik: Leitidee Daten und Zufall. In R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, & HG. Weigand (Eds.), Handbuch der Mathematikdidaktik. Springer. https://doi.org/10.1007/978-3-662-66604-3_8","chicago":"Biehler, Rolf, Joachim Engel, and Daniel Frischemeier. “Stochastik: Leitidee Daten Und Zufall.” In Handbuch Der Mathematikdidaktik, edited by Regina Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, and HG. Weigand. Berlin, Heidelberg: Springer, 2023. https://doi.org/10.1007/978-3-662-66604-3_8.","bibtex":"@inbook{Biehler_Engel_Frischemeier_2023, place={Berlin, Heidelberg}, title={Stochastik: Leitidee Daten und Zufall}, DOI={10.1007/978-3-662-66604-3_8}, booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer}, author={Biehler, Rolf and Engel, Joachim and Frischemeier, Daniel}, editor={Bruder, Regina and Büchter, A. and Gasteiger, H. and Schmidt-Thieme, B. and Weigand, HG.}, year={2023} }","mla":"Biehler, Rolf, et al. “Stochastik: Leitidee Daten Und Zufall.” Handbuch Der Mathematikdidaktik, edited by Regina Bruder et al., Springer, 2023, doi:10.1007/978-3-662-66604-3_8.","short":"R. Biehler, J. Engel, D. Frischemeier, in: R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, HG. Weigand (Eds.), Handbuch Der Mathematikdidaktik, Springer, Berlin, Heidelberg, 2023.","ieee":"R. Biehler, J. Engel, and D. Frischemeier, “Stochastik: Leitidee Daten und Zufall,” in Handbuch der Mathematikdidaktik, R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, and HG. Weigand, Eds. Berlin, Heidelberg: Springer, 2023."},"type":"book_chapter","year":"2023","language":[{"iso":"eng"}],"date_updated":"2023-09-25T11:18:19Z","_id":"47416","doi":"10.1007/978-3-662-66604-3_8"},{"language":[{"iso":"eng"}],"citation":{"ieee":"B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions,” arXiv:2309.09005. 2023.","short":"B. Hinrichs, O. Matte, ArXiv:2309.09005 (2023).","bibtex":"@article{Hinrichs_Matte_2023, title={Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions}, journal={arXiv:2309.09005}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2023} }","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson Model in Two Spatial Dimensions.” ArXiv:2309.09005, 2023.","apa":"Hinrichs, B., & Matte, O. (2023). Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions. In arXiv:2309.09005.","ama":"Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions. arXiv:230909005. Published online 2023.","chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson Model in Two Spatial Dimensions.” ArXiv:2309.09005, 2023."},"type":"preprint","year":"2023","date_updated":"2023-10-02T06:22:55Z","_id":"47534","author":[{"full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","first_name":"Benjamin","id":"99427","last_name":"Hinrichs"},{"last_name":"Matte","first_name":"Oliver","full_name":"Matte, Oliver"}],"department":[{"_id":"799"},{"_id":"623"}],"publication":"arXiv:2309.09005","status":"public","project":[{"name":"PhoQC: PhoQC: Photonisches Quantencomputing","_id":"266"}],"date_created":"2023-10-02T06:21:37Z","external_id":{"arxiv":["2309.09005"]},"abstract":[{"text":"In this proceeding we consider a translation invariant Nelson type model in\r\ntwo spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors in a recent preprint (where several matter particles and exterior\r\npotentials are treated as well). After that, we employ a few technical key\r\nrelations and estimates obtained in our preprint to present an otherwise\r\nself-contained derivation of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian.","lang":"eng"}],"user_id":"99427","title":"Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions"},{"place":"Cham","user_id":"37888","title":"Impacts of Digitalization on Content and Goals of Statistics Education","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication":"Handbook of Digital Resources in Mathematics Education","publisher":"Springer International Publishing","author":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"last_name":"Frischemeier","full_name":"Frischemeier, Daniel","first_name":"Daniel"},{"first_name":"Ronald","full_name":"Gould, Ronald","last_name":"Gould"},{"last_name":"Pfannkuch","first_name":"Maxine","full_name":"Pfannkuch, Maxine"}],"date_created":"2023-10-12T11:31:22Z","status":"public","editor":[{"last_name":"Pepin","full_name":"Pepin, Birgit","first_name":"Birgit"},{"full_name":"Gueudet, Ghislaine","first_name":"Ghislaine","last_name":"Gueudet"},{"full_name":"Choppin, Jeffrey","first_name":"Jeffrey","last_name":"Choppin"}],"_id":"48042","date_updated":"2023-10-12T11:31:47Z","language":[{"iso":"eng"}],"citation":{"ama":"Biehler R, Frischemeier D, Gould R, Pfannkuch M. Impacts of Digitalization on Content and Goals of Statistics Education. In: Pepin B, Gueudet G, Choppin J, eds. Handbook of Digital Resources in Mathematics Education. Springer International Publishing; 2023.","apa":"Biehler, R., Frischemeier, D., Gould, R., & Pfannkuch, M. (2023). Impacts of Digitalization on Content and Goals of Statistics Education. In B. Pepin, G. Gueudet, & J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education. Springer International Publishing.","chicago":"Biehler, Rolf, Daniel Frischemeier, Ronald Gould, and Maxine Pfannkuch. “Impacts of Digitalization on Content and Goals of Statistics Education.” In Handbook of Digital Resources in Mathematics Education, edited by Birgit Pepin, Ghislaine Gueudet, and Jeffrey Choppin. Cham: Springer International Publishing, 2023.","mla":"Biehler, Rolf, et al. “Impacts of Digitalization on Content and Goals of Statistics Education.” Handbook of Digital Resources in Mathematics Education, edited by Birgit Pepin et al., Springer International Publishing, 2023.","bibtex":"@inbook{Biehler_Frischemeier_Gould_Pfannkuch_2023, place={Cham}, title={Impacts of Digitalization on Content and Goals of Statistics Education}, booktitle={Handbook of Digital Resources in Mathematics Education}, publisher={Springer International Publishing}, author={Biehler, Rolf and Frischemeier, Daniel and Gould, Ronald and Pfannkuch, Maxine}, editor={Pepin, Birgit and Gueudet, Ghislaine and Choppin, Jeffrey}, year={2023} }","short":"R. Biehler, D. Frischemeier, R. Gould, M. Pfannkuch, in: B. Pepin, G. Gueudet, J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education, Springer International Publishing, Cham, 2023.","ieee":"R. Biehler, D. Frischemeier, R. Gould, and M. Pfannkuch, “Impacts of Digitalization on Content and Goals of Statistics Education,” in Handbook of Digital Resources in Mathematics Education, B. Pepin, G. Gueudet, and J. Choppin, Eds. Cham: Springer International Publishing, 2023."},"type":"book_chapter","year":"2023"},{"publication":"Handbuch der Mathematikdidaktik","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"author":[{"last_name":"Leiss","first_name":"Dominik","full_name":"Leiss, Dominik"},{"last_name":"Gerlach","full_name":"Gerlach, Kerstin","first_name":"Kerstin"},{"id":"85190","last_name":"Wessel","full_name":"Wessel, Lena","first_name":"Lena"},{"last_name":"Schmidt-Thieme","first_name":"Barbara","full_name":"Schmidt-Thieme, Barbara"}],"publisher":"Springer Berlin Heidelberg","date_created":"2023-10-19T09:12:45Z","status":"public","publication_status":"published","publication_identifier":{"isbn":["9783662666036","9783662666043"]},"place":"Berlin, Heidelberg","user_id":"37888","title":"Sprache und Mathematiklernen","language":[{"iso":"ger"}],"page":"561-595","type":"book_chapter","citation":{"ieee":"D. Leiss, K. Gerlach, L. Wessel, and B. Schmidt-Thieme, “Sprache und Mathematiklernen,” in Handbuch der Mathematikdidaktik, Berlin, Heidelberg: Springer Berlin Heidelberg, 2023, pp. 561–595.","short":"D. Leiss, K. Gerlach, L. Wessel, B. Schmidt-Thieme, in: Handbuch der Mathematikdidaktik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2023, pp. 561–595.","mla":"Leiss, Dominik, et al. “Sprache und Mathematiklernen.” Handbuch der Mathematikdidaktik, Springer Berlin Heidelberg, 2023, pp. 561–95, doi:10.1007/978-3-662-66604-3_18.","bibtex":"@inbook{Leiss_Gerlach_Wessel_Schmidt-Thieme_2023, place={Berlin, Heidelberg}, title={Sprache und Mathematiklernen}, DOI={10.1007/978-3-662-66604-3_18}, booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer Berlin Heidelberg}, author={Leiss, Dominik and Gerlach, Kerstin and Wessel, Lena and Schmidt-Thieme, Barbara}, year={2023}, pages={561–595} }","chicago":"Leiss, Dominik, Kerstin Gerlach, Lena Wessel, and Barbara Schmidt-Thieme. “Sprache und Mathematiklernen.” In Handbuch der Mathematikdidaktik, 561–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2023. https://doi.org/10.1007/978-3-662-66604-3_18.","ama":"Leiss D, Gerlach K, Wessel L, Schmidt-Thieme B. Sprache und Mathematiklernen. In: Handbuch der Mathematikdidaktik. Springer Berlin Heidelberg; 2023:561-595. doi:10.1007/978-3-662-66604-3_18","apa":"Leiss, D., Gerlach, K., Wessel, L., & Schmidt-Thieme, B. (2023). Sprache und Mathematiklernen. In Handbuch der Mathematikdidaktik (pp. 561–595). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-66604-3_18"},"year":"2023","_id":"48319","date_updated":"2023-10-19T09:33:54Z","doi":"10.1007/978-3-662-66604-3_18"},{"date_created":"2023-10-26T07:01:34Z","has_accepted_license":"1","status":"public","editor":[{"first_name":"T.","full_name":"Dreyfus, T.","last_name":"Dreyfus"},{"last_name":"Gonzalez-Martin","first_name":"A. S.","full_name":"Gonzalez-Martin, A. S."},{"first_name":"E.","full_name":"Nardi, E.","last_name":"Nardi"},{"full_name":"Monaghan, J.","first_name":"J.","last_name":"Monaghan"},{"full_name":"Thompson, P. W.","first_name":"P. W.","last_name":"Thompson"}],"file":[{"access_level":"closed","file_name":"Kortemeyer Biehler aus CalcConf2023_Proceedings.pdf","date_created":"2023-10-26T07:00:55Z","date_updated":"2023-10-26T07:00:55Z","content_type":"application/pdf","success":1,"relation":"main_file","file_size":1389445,"file_id":"48481","creator":"krueter"}],"publication":"The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"file_date_updated":"2023-10-26T07:00:55Z","author":[{"last_name":"Kortmeyer","full_name":"Kortmeyer, Jörg","first_name":"Jörg"},{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"}],"publisher":"MatRIC","user_id":"37888","ddc":["510"],"title":"The use of integrals for accumulation and mean values in basic electrical engineering courses","language":[{"iso":"eng"}],"page":"121-124","year":"2023","type":"book_chapter","citation":{"mla":"Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation and Mean Values in Basic Electrical Engineering Courses.” The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, edited by T. Dreyfus et al., MatRIC, 2023, pp. 121–24.","bibtex":"@inbook{Kortmeyer_Biehler_2023, title={The use of integrals for accumulation and mean values in basic electrical engineering courses}, booktitle={The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference}, publisher={MatRIC}, author={Kortmeyer, Jörg and Biehler, Rolf}, editor={Dreyfus, T. and Gonzalez-Martin, A. S. and Nardi, E. and Monaghan, J. and Thompson, P. W.}, year={2023}, pages={121–124} }","ama":"Kortmeyer J, Biehler R. The use of integrals for accumulation and mean values in basic electrical engineering courses. In: Dreyfus T, Gonzalez-Martin AS, Nardi E, Monaghan J, Thompson PW, eds. The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference. MatRIC; 2023:121-124.","apa":"Kortmeyer, J., & Biehler, R. (2023). The use of integrals for accumulation and mean values in basic electrical engineering courses. In T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, & P. W. Thompson (Eds.), The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference (pp. 121–124). MatRIC.","chicago":"Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation and Mean Values in Basic Electrical Engineering Courses.” In The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, edited by T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson, 121–24. MatRIC, 2023.","ieee":"J. Kortmeyer and R. Biehler, “The use of integrals for accumulation and mean values in basic electrical engineering courses,” in The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson, Eds. MatRIC, 2023, pp. 121–124.","short":"J. Kortmeyer, R. Biehler, in: T. Dreyfus, A.S. Gonzalez-Martin, E. Nardi, J. Monaghan, P.W. Thompson (Eds.), The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, MatRIC, 2023, pp. 121–124."},"date_updated":"2023-10-26T07:01:40Z","_id":"48480"},{"issue":"115","_id":"49049","date_updated":"2023-11-20T08:23:56Z","language":[{"iso":"ger"}],"citation":{"bibtex":"@article{Biehler_Krüger_2023, title={Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel}, number={115}, journal={GDM-Mitteilungen}, author={Biehler, Rolf and Krüger, Katja}, year={2023}, pages={57–65} }","mla":"Biehler, Rolf, and Katja Krüger. “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel.” GDM-Mitteilungen, no. 115, 2023, pp. 57–65.","chicago":"Biehler, Rolf, and Katja Krüger. “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel.” GDM-Mitteilungen, no. 115 (2023): 57–65.","ama":"Biehler R, Krüger K. Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel. GDM-Mitteilungen. 2023;(115):57-65.","apa":"Biehler, R., & Krüger, K. (2023). Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel. GDM-Mitteilungen, 115, 57–65.","ieee":"R. Biehler and K. Krüger, “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel,” GDM-Mitteilungen, no. 115, pp. 57–65, 2023.","short":"R. Biehler, K. Krüger, GDM-Mitteilungen (2023) 57–65."},"year":"2023","type":"journal_article","page":"57-65","user_id":"37888","title":"Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel","ddc":["510"],"has_accepted_license":"1","status":"public","date_created":"2023-11-20T08:23:51Z","file":[{"access_level":"closed","date_created":"2023-11-20T08:23:14Z","file_name":"Biehler_2023_NachrufEngel_MGM115.pdf","relation":"main_file","success":1,"date_updated":"2023-11-20T08:23:14Z","content_type":"application/pdf","file_id":"49050","creator":"krueter","file_size":316979}],"author":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"full_name":"Krüger, Katja","first_name":"Katja","last_name":"Krüger"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"file_date_updated":"2023-11-20T08:23:14Z","publication":"GDM-Mitteilungen"},{"editor":[{"first_name":"J.","full_name":"Novotna, J.","last_name":"Novotna"},{"last_name":"Moraova","first_name":"H.","full_name":"Moraova, H."}],"date_created":"2023-08-30T09:24:29Z","status":"public","publication":"International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education","department":[{"_id":"543"}],"publisher":"Charles University","author":[{"first_name":"Melina","full_name":"Wallner, Melina","last_name":"Wallner","id":"45445"},{"full_name":"Häsel-Weide, Uta","first_name":"Uta","id":"60267","last_name":"Häsel-Weide"}],"title":"Conceptual understanding of third grades for axial symmetry","user_id":"45445","page":"346-354","citation":{"mla":"Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades for Axial Symmetry.” International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, Charles University, 2023, pp. 346–54.","bibtex":"@inproceedings{Wallner_Häsel-Weide_2023, title={Conceptual understanding of third grades for axial symmetry}, booktitle={International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education}, publisher={Charles University}, author={Wallner, Melina and Häsel-Weide, Uta}, editor={Novotna, J. and Moraova, H.}, year={2023}, pages={346–354} }","apa":"Wallner, M., & Häsel-Weide, U. (2023). Conceptual understanding of third grades for axial symmetry. In J. Novotna & H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education (pp. 346–354). Charles University.","ama":"Wallner M, Häsel-Weide U. Conceptual understanding of third grades for axial symmetry. In: Novotna J, Moraova H, eds. International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education. Charles University; 2023:346-354.","chicago":"Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades for Axial Symmetry.” In International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, 346–54. Charles University, 2023.","ieee":"M. Wallner and U. Häsel-Weide, “Conceptual understanding of third grades for axial symmetry,” in International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Prag, 2023, pp. 346–354.","short":"M. Wallner, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Charles University, 2023, pp. 346–354."},"type":"conference","year":"2023","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://semt.cz/proceedings/semt-23.pdf"}],"conference":{"location":"Prag","name":"International Symposium in Elementary Mathematics Teaching"},"_id":"46756","date_updated":"2023-11-24T16:33:37Z"},{"language":[{"iso":"eng"}],"doi":"10.1137/23m1561075","date_updated":"2023-11-29T10:52:23Z","publication_status":"published","publication_identifier":{"issn":["0036-1399","1095-712X"]},"department":[{"_id":"101"}],"title":"Hypernetworks: Cluster Synchronization Is a Higher-Order Effect","external_id":{"arxiv":["2302.08974"]},"page":"2329-2353","citation":{"ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.","short":"S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.","mla":"von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.","bibtex":"@article{von der Gracht_Nijholt_Rink_2023, title={Hypernetworks: Cluster Synchronization Is a Higher-Order Effect}, volume={83}, DOI={10.1137/23m1561075}, number={6}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023}, pages={2329–2353} }","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53. https://doi.org/10.1137/23m1561075.","ama":"von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics. 2023;83(6):2329-2353. doi:10.1137/23m1561075","apa":"von der Gracht, S., Nijholt, E., & Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353. https://doi.org/10.1137/23m1561075"},"year":"2023","type":"journal_article","issue":"6","intvolume":" 83","_id":"49326","date_created":"2023-11-29T10:50:05Z","status":"public","volume":83,"publication":"SIAM Journal on Applied Mathematics","keyword":["Applied Mathematics"],"author":[{"id":"97359","last_name":"von der Gracht","orcid":"0000-0002-8054-2058","full_name":"von der Gracht, Sören","first_name":"Sören"},{"last_name":"Nijholt","full_name":"Nijholt, Eddie","first_name":"Eddie"},{"last_name":"Rink","full_name":"Rink, Bob","first_name":"Bob"}],"publisher":"Society for Industrial & Applied Mathematics (SIAM)","user_id":"97359","abstract":[{"lang":"eng","text":"Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by defining a class of admissible maps for every such hypernetwork. We explain how to classify robust cluster synchronization patterns on hypernetworks by finding balanced partitions, and we generalize the concept of a graph fibration to the hypernetwork context. We also show that robust synchronization patterns are only fully determined by polynomial admissible maps of high order. This means that, unlike in dyadic networks, cluster synchronization on hypernetworks is a higher-order, i.e., nonlinear, effect. We give a formula, in terms of the order of the hypernetwork, for the degree of the polynomial admissible maps that determine robust synchronization patterns. We also demonstrate that this degree is optimal by investigating a class of examples. We conclude by demonstrating how this effect may cause remarkable synchrony breaking bifurcations that occur at high polynomial degree."}]},{"user_id":"97359","title":"Higher order interactions lead to \"reluctant\" synchrony breaking","external_id":{"arxiv":["2311.17186"]},"abstract":[{"lang":"eng","text":"To model dynamical systems on networks with higher order (non-pairwise)\r\ninteractions, we recently introduced a new class of ODEs on hypernetworks. Here\r\nwe consider one-parameter synchrony breaking bifurcations in such ODEs. We call\r\na synchrony breaking steady state branch \"reluctant\" if it is tangent to a\r\nsynchrony space, but does not lie inside it. We prove that reluctant synchrony\r\nbreaking is ubiquitous in hypernetwork systems, by constructing a large class\r\nof examples that support it. We also give an explicit formula for the order of\r\ntangency to the synchrony space of a reluctant steady state branch."}],"date_created":"2023-12-01T06:35:29Z","status":"public","publication":"arXiv:2311.17186","department":[{"_id":"101"}],"author":[{"full_name":"von der Gracht, Sören","orcid":"0000-0002-8054-2058","first_name":"Sören","id":"97359","last_name":"von der Gracht"},{"full_name":"Nijholt, Eddie","first_name":"Eddie","last_name":"Nijholt"},{"last_name":"Rink","first_name":"Bob","full_name":"Rink, Bob"}],"date_updated":"2023-12-01T06:38:44Z","_id":"49371","language":[{"iso":"eng"}],"citation":{"bibtex":"@article{von der Gracht_Nijholt_Rink_2023, title={Higher order interactions lead to “reluctant” synchrony breaking}, journal={arXiv:2311.17186}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023} }","mla":"von der Gracht, Sören, et al. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023.","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023.","apa":"von der Gracht, S., Nijholt, E., & Rink, B. (2023). Higher order interactions lead to “reluctant” synchrony breaking. In arXiv:2311.17186.","ama":"von der Gracht S, Nijholt E, Rink B. Higher order interactions lead to “reluctant” synchrony breaking. arXiv:231117186. Published online 2023.","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Higher order interactions lead to ‘reluctant’ synchrony breaking,” arXiv:2311.17186. 2023.","short":"S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023)."},"type":"preprint","year":"2023"},{"date_updated":"2023-12-06T09:50:43Z","_id":"49372","doi":"10.1007/s44007-023-00067-w","language":[{"iso":"eng"}],"type":"journal_article","citation":{"bibtex":"@article{Klüners_Wang_2023, title={Idélic Approach in Enumerating Heisenberg Extensions}, DOI={10.1007/s44007-023-00067-w}, journal={La Matematica}, publisher={Springer Science and Business Media LLC}, author={Klüners, Jürgen and Wang, Jiuya}, year={2023} }","mla":"Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, Springer Science and Business Media LLC, 2023, doi:10.1007/s44007-023-00067-w.","chicago":"Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, 2023. https://doi.org/10.1007/s44007-023-00067-w.","ama":"Klüners J, Wang J. Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. Published online 2023. doi:10.1007/s44007-023-00067-w","apa":"Klüners, J., & Wang, J. (2023). Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. https://doi.org/10.1007/s44007-023-00067-w","ieee":"J. Klüners and J. Wang, “Idélic Approach in Enumerating Heisenberg Extensions,” La Matematica, 2023, doi: 10.1007/s44007-023-00067-w.","short":"J. Klüners, J. Wang, La Matematica (2023)."},"year":"2023","user_id":"21202","title":"Idélic Approach in Enumerating Heisenberg Extensions","department":[{"_id":"102"}],"publication":"La Matematica","publisher":"Springer Science and Business Media LLC","author":[{"first_name":"Jürgen","full_name":"Klüners, Jürgen","last_name":"Klüners","id":"21202"},{"first_name":"Jiuya","full_name":"Wang, Jiuya","last_name":"Wang"}],"date_created":"2023-12-01T09:23:59Z","status":"public","publication_status":"published","publication_identifier":{"issn":["2730-9657"]}},{"date_created":"2023-12-04T09:45:04Z","status":"public","publication":"Teachers and Teaching","department":[{"_id":"543"}],"author":[{"last_name":"Seitz","first_name":"Simone","full_name":"Seitz, Simone"},{"last_name":"Häsel-Weide","id":"60267","first_name":"Uta","full_name":"Häsel-Weide, Uta"},{"last_name":"Wilke","first_name":"Yannik","full_name":"Wilke, Yannik"},{"id":"45445","last_name":"Wallner","full_name":"Wallner, Melina","first_name":"Melina"}],"title":"Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research","user_id":"45445","page":"1-16","year":"2023","citation":{"short":"S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, Teachers and Teaching (2023) 1–16.","ieee":"S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research,” Teachers and Teaching, pp. 1–16, 2023, doi: https://doi.org/10.1080/13540602.2023.2284876 .","apa":"Seitz, S., Häsel-Weide, U., Wilke, Y., & Wallner, M. (2023). Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research. Teachers and Teaching, 1–16. https://doi.org/10.1080/13540602.2023.2284876 ","ama":"Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research. Teachers and Teaching. Published online 2023:1-16. doi:https://doi.org/10.1080/13540602.2023.2284876 ","chicago":"Seitz, Simone, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation Research.” Teachers and Teaching, 2023, 1–16. https://doi.org/10.1080/13540602.2023.2284876 .","bibtex":"@article{Seitz_Häsel-Weide_Wilke_Wallner_2023, title={Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research}, DOI={https://doi.org/10.1080/13540602.2023.2284876 }, journal={Teachers and Teaching}, author={Seitz, Simone and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}, year={2023}, pages={1–16} }","mla":"Seitz, Simone, et al. “Expertise and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation Research.” Teachers and Teaching, 2023, pp. 1–16, doi:https://doi.org/10.1080/13540602.2023.2284876 ."},"type":"journal_article","language":[{"iso":"eng"}],"doi":"https://doi.org/10.1080/13540602.2023.2284876 ","date_updated":"2023-12-13T12:51:03Z","_id":"49425"},{"user_id":"85279","ddc":["510"],"abstract":[{"lang":"eng","text":"By one of the most fundamental principles in physics, a dynamical system will exhibit those motions which extremise an action functional. This leads to the formation of the Euler-Lagrange equations, which serve as a model of how the system will behave in time. If the dynamics exhibit additional symmetries, then the motion fulfils additional conservation laws, such as conservation of energy (time invariance), momentum (translation invariance), or angular momentum (rotational invariance). To learn a system representation, one could learn the discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function Ld which defines them. Based on ideas from Lie group theory, in this work we introduce a framework to learn a discrete Lagrangian along with its symmetry group from discrete observations of motions and, therefore, identify conserved quantities. The learning process does not restrict the form of the Lagrangian, does not require velocity or momentum observations or predictions and incorporates a cost term which safeguards against unwanted solutions and against potential numerical issues in forward simulations. The learnt discrete quantities are related to their continuous analogues using variational backward error analysis and numerical results demonstrate the improvement such models can have both qualitatively and quantitatively even in the presence of noise."}],"date_created":"2022-11-23T08:17:10Z","has_accepted_license":"1","status":"public","volume":56,"file":[{"content_type":"application/pdf","date_updated":"2023-04-17T08:05:55Z","relation":"main_file","description":"By one of the most fundamental principles in physics, a dynamical system will\nexhibit those motions which extremise an action functional. This leads to the formation of\nthe Euler-Lagrange equations, which serve as a model of how the system will behave in time.\nIf the dynamics exhibit additional symmetries, then the motion fulfils additional conservation\nlaws, such as conservation of energy (time invariance), momentum (translation invariance), or\nangular momentum (rotational invariance). To learn a system representation, one could learn\nthe discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function\nLd which defines them. Based on ideas from Lie group theory, we introduce a framework to learn\na discrete Lagrangian along with its symmetry group from discrete observations of motions and,\ntherefore, identify conserved quantities. The learning process does not restrict the form of the\nLagrangian, does not require velocity or momentum observations or predictions and incorporates\na cost term which safeguards against unwanted solutions and against potential numerical issues\nin forward simulations. The learnt discrete quantities are related to their continuous analogues\nusing variational backward error analysis and numerical results demonstrate the improvement\nsuch models can have both qualitatively and quantitatively even in the presence of noise.","creator":"coffen","file_id":"44037","file_size":576115,"title":"Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery","access_level":"open_access","date_created":"2023-04-17T08:05:55Z","file_name":"LNN_project.pdf"}],"file_date_updated":"2023-04-17T08:05:55Z","publication":"IFAC-PapersOnLine","quality_controlled":"1","publisher":"Elsevier","author":[{"last_name":"Lishkova","full_name":"Lishkova, Yana","first_name":"Yana"},{"last_name":"Scherer","full_name":"Scherer, Paul","first_name":"Paul"},{"last_name":"Ridderbusch","first_name":"Steffen","full_name":"Ridderbusch, Steffen"},{"last_name":"Jamnik","full_name":"Jamnik, Mateja","first_name":"Mateja"},{"last_name":"Liò","full_name":"Liò, Pietro","first_name":"Pietro"},{"id":"16494","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"},{"first_name":"Christian","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","last_name":"Offen","id":"85279"}],"issue":"2","conference":{"name":"The 22nd World Congress of the International Federation of Automatic Control","start_date":"2023-07-09","location":" Yokohama, Japan","end_date":"2023-07-14"},"intvolume":" 56","_id":"34135","page":"3203-3210","citation":{"ieee":"Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,” in IFAC-PapersOnLine, Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi: 10.1016/j.ifacol.2023.10.1457.","short":"Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.","mla":"Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” IFAC-PapersOnLine, vol. 56, no. 2, Elsevier, 2023, pp. 3203–10, doi:10.1016/j.ifacol.2023.10.1457.","bibtex":"@inproceedings{Lishkova_Scherer_Ridderbusch_Jamnik_Liò_Ober-Blöbaum_Offen_2023, title={Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery}, volume={56}, DOI={10.1016/j.ifacol.2023.10.1457}, number={2}, booktitle={IFAC-PapersOnLine}, publisher={Elsevier}, author={Lishkova, Yana and Scherer, Paul and Ridderbusch, Steffen and Jamnik, Mateja and Liò, Pietro and Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={3203–3210} }","chicago":"Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” In IFAC-PapersOnLine, 56:3203–10. Elsevier, 2023. https://doi.org/10.1016/j.ifacol.2023.10.1457.","apa":"Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum, S., & Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. IFAC-PapersOnLine, 56(2), 3203–3210. https://doi.org/10.1016/j.ifacol.2023.10.1457","ama":"Lishkova Y, Scherer P, Ridderbusch S, et al. Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. In: IFAC-PapersOnLine. Vol 56. Elsevier; 2023:3203-3210. doi:10.1016/j.ifacol.2023.10.1457"},"year":"2023","type":"conference","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/S2405896323018657"}],"related_material":{"link":[{"relation":"software","description":"GitHub","url":"https://github.com/yanalish/SymDLNN"}]},"title":"Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery","external_id":{"arxiv":["2211.10830"]},"publication_status":"published","department":[{"_id":"636"}],"oa":"1","doi":"10.1016/j.ifacol.2023.10.1457","date_updated":"2023-12-29T14:26:00Z","language":[{"iso":"eng"}]},{"abstract":[{"text":"In this article we investigate the convergence behavior of gathering protocols with fixed circulant topologies using tools form dynamical systems. Given a fixed number of mobile entities moving in the Euclidean plane, we model a gathering protocol as a system of ordinary differential equations whose equilibria are exactly all possible gathering points. Then, we find necessary and sufficient conditions for the structure of the underlying interaction graph such that the protocol is stable and converging, i.e., gathering, in the distributive computing sense by using tools from dynamical systems. Moreover, these tools allow for a more fine grained analysis in terms of speed of convergence in the dynamical systems sense. In fact, we derive a decomposition\r\nof the state space into stable invariant subspaces with different convergence\r\nrates. In particular, this decomposition is identical for every (linear)\r\ncirculant gathering protocol, whereas only the convergence rates depend on the\r\nweights in interaction graph itself.","lang":"eng"}],"user_id":"32655","publication":"arXiv:2305.06632","keyword":["Dynamical Systems","Coupled Systems","Distributed Computing","Robot Swarms","Autonomous Mobile Robots","Gathering"],"author":[{"last_name":"Gerlach","id":"32655","first_name":"Raphael","full_name":"Gerlach, Raphael"},{"id":"97359","last_name":"von der Gracht","orcid":"0000-0002-8054-2058","full_name":"von der Gracht, Sören","first_name":"Sören"},{"full_name":"Dellnitz, Michael","first_name":"Michael","last_name":"Dellnitz"}],"date_created":"2023-05-12T10:16:06Z","status":"public","_id":"44840","main_file_link":[{"url":"https://arxiv.org/abs/2305.06632"}],"page":"38","type":"preprint","year":"2023","citation":{"ieee":"R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies,” arXiv:2305.06632. .","short":"R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).","bibtex":"@article{Gerlach_von der Gracht_Dellnitz, title={On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies}, journal={arXiv:2305.06632}, author={Gerlach, Raphael and von der Gracht, Sören and Dellnitz, Michael} }","mla":"Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” ArXiv:2305.06632.","chicago":"Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” ArXiv:2305.06632, n.d.","apa":"Gerlach, R., von der Gracht, S., & Dellnitz, M. (n.d.). On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies. In arXiv:2305.06632.","ama":"Gerlach R, von der Gracht S, Dellnitz M. On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies. arXiv:230506632."},"external_id":{"arxiv":["2305.06632"]},"title":"On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies","related_material":{"link":[{"relation":"supplementary_material","url":"https://math.uni-paderborn.de/en/ag/chair-of-applied-mathematics/research/research-projects/swarmdynamics"}]},"department":[{"_id":"101"}],"publication_status":"submitted","project":[{"_id":"106","name":"Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme","grant_number":"453112019"}],"date_updated":"2024-01-03T17:00:48Z","language":[{"iso":"eng"}]},{"_id":"50298","date_updated":"2024-01-08T14:39:20Z","intvolume":" 3","issue":"1","doi":"10.5070/c63160424","language":[{"iso":"eng"}],"type":"journal_article","citation":{"ieee":"K.-U. Schmidt and C. Weiß, “Packings and Steiner systems in polar spaces,” Combinatorial Theory, vol. 3, no. 1, 2023, doi: 10.5070/c63160424.","short":"K.-U. Schmidt, C. Weiß, Combinatorial Theory 3 (2023).","mla":"Schmidt, Kai-Uwe, and Charlene Weiß. “Packings and Steiner Systems in Polar Spaces.” Combinatorial Theory, vol. 3, no. 1, 2023, doi:10.5070/c63160424.","bibtex":"@article{Schmidt_Weiß_2023, title={Packings and Steiner systems in polar spaces}, volume={3}, DOI={10.5070/c63160424}, number={1}, journal={Combinatorial Theory}, author={Schmidt, Kai-Uwe and Weiß, Charlene}, year={2023} }","ama":"Schmidt K-U, Weiß C. Packings and Steiner systems in polar spaces. Combinatorial Theory. 2023;3(1). doi:10.5070/c63160424","apa":"Schmidt, K.-U., & Weiß, C. (2023). Packings and Steiner systems in polar spaces. Combinatorial Theory, 3(1). https://doi.org/10.5070/c63160424","chicago":"Schmidt, Kai-Uwe, and Charlene Weiß. “Packings and Steiner Systems in Polar Spaces.” Combinatorial Theory 3, no. 1 (2023). https://doi.org/10.5070/c63160424."},"year":"2023","abstract":[{"lang":"eng","text":"A finite classical polar space of rank $n$ consists of the totally isotropic subspaces of a finite vector space equipped with a nondegenerate form such that $n$ is the maximal dimension of such a subspace. A $t$-Steiner system in a finite classical polar space of rank $n$ is a collection $Y$ of totally isotropic $n$-spaces such that each totally isotropic $t$-space is contained in exactly one member of $Y$. Nontrivial examples are known only for $t=1$ and $t=n-1$. We give an almost complete classification of such $t$-Steiner systems, showing that such objects can only exist in some corner cases. This classification result arises from a more general result on packings in polar spaces."}],"user_id":"70420","title":"Packings and Steiner systems in polar spaces","publication":"Combinatorial Theory","department":[{"_id":"100"}],"author":[{"last_name":"Schmidt","first_name":"Kai-Uwe","full_name":"Schmidt, Kai-Uwe"},{"id":"70420","last_name":"Weiß","full_name":"Weiß, Charlene","first_name":"Charlene"}],"date_created":"2024-01-08T14:33:54Z","status":"public","volume":3,"publication_status":"published"},{"language":[{"iso":"eng"}],"doi":"10.1002/jcd.21903","date_updated":"2024-01-08T14:38:53Z","publication_status":"published","department":[{"_id":"100"}],"title":"Existence of small ordered orthogonal arrays","year":"2023","type":"journal_article","citation":{"ieee":"K. Schmidt and C. Weiß, “Existence of small ordered orthogonal arrays,” Journal of Combinatorial Designs, vol. 31, no. 9, pp. 422–431, 2023, doi: 10.1002/jcd.21903.","short":"K. Schmidt, C. Weiß, Journal of Combinatorial Designs 31 (2023) 422–431.","bibtex":"@article{Schmidt_Weiß_2023, title={Existence of small ordered orthogonal arrays}, volume={31}, DOI={10.1002/jcd.21903}, number={9}, journal={Journal of Combinatorial Designs}, publisher={Wiley}, author={Schmidt, Kai‐Uwe and Weiß, Charlene}, year={2023}, pages={422–431} }","mla":"Schmidt, Kai‐Uwe, and Charlene Weiß. “Existence of Small Ordered Orthogonal Arrays.” Journal of Combinatorial Designs, vol. 31, no. 9, Wiley, 2023, pp. 422–31, doi:10.1002/jcd.21903.","ama":"Schmidt K, Weiß C. Existence of small ordered orthogonal arrays. Journal of Combinatorial Designs. 2023;31(9):422-431. doi:10.1002/jcd.21903","apa":"Schmidt, K., & Weiß, C. (2023). Existence of small ordered orthogonal arrays. Journal of Combinatorial Designs, 31(9), 422–431. https://doi.org/10.1002/jcd.21903","chicago":"Schmidt, Kai‐Uwe, and Charlene Weiß. “Existence of Small Ordered Orthogonal Arrays.” Journal of Combinatorial Designs 31, no. 9 (2023): 422–31. https://doi.org/10.1002/jcd.21903."},"page":"422-431","issue":"9","intvolume":" 31","_id":"50297","volume":31,"status":"public","date_created":"2024-01-08T14:25:28Z","publisher":"Wiley","author":[{"full_name":"Schmidt, Kai‐Uwe","first_name":"Kai‐Uwe","last_name":"Schmidt"},{"last_name":"Weiß","id":"70420","first_name":"Charlene","full_name":"Weiß, Charlene"}],"publication":"Journal of Combinatorial Designs","user_id":"70420","abstract":[{"lang":"eng","text":"We show that there exist ordered orthogonal arrays, whose sizes deviate from the Rao bound by a factor that is polynomial in the parameters of the ordered orthogonal array. The proof is nonconstructive and based on a probabilistic method due to Kuperberg, Lovett and Peled."}]},{"user_id":"70420","title":"Linear programming bounds in classical association schemes","abstract":[{"text":"Digital communications relies heavily on the usage of different types of codes. Prominent codes nowadays are rank-metric codes and subspace codes - the q-analogs of binary codes and binary codes with constant weight. All these codes can be viewed as subsets of classical association schemes. A central coding-theoretic problem is to derive upper bounds for the size of codes. This thesis investigates Delsartes powerful linear program whose optimum is precisely such a bound for codes in association schemes. The linear programs for binary codes and binary constant-weight codes have been extensively studied since the 1970s, but their optimum is still unknown. We determine in a unified way the optimum of the linear program in several ordinary q-analogs as well as in their affine counterparts. In particular, bounds and constructions for codes in polar spaces are established, where the bounds are sharp up to a constant factor in many cases. Moreover, based on these results, an almost complete classification of Steiner systems in polar spaces is provided by showing that they could only exist in some corner cases.","lang":"eng"}],"date_created":"2024-01-08T14:42:12Z","status":"public","department":[{"_id":"100"}],"author":[{"last_name":"Weiß","id":"70420","first_name":"Charlene","full_name":"Weiß, Charlene"}],"doi":"10.17619/UNIPB/1-1672","_id":"50300","date_updated":"2024-01-08T14:46:14Z","language":[{"iso":"eng"}],"type":"dissertation","year":"2023","citation":{"apa":"Weiß, C. (2023). Linear programming bounds in classical association schemes. https://doi.org/10.17619/UNIPB/1-1672","ama":"Weiß C. Linear Programming Bounds in Classical Association Schemes.; 2023. doi:10.17619/UNIPB/1-1672","chicago":"Weiß, Charlene. Linear Programming Bounds in Classical Association Schemes, 2023. https://doi.org/10.17619/UNIPB/1-1672.","bibtex":"@book{Weiß_2023, title={Linear programming bounds in classical association schemes}, DOI={10.17619/UNIPB/1-1672}, author={Weiß, Charlene}, year={2023} }","mla":"Weiß, Charlene. Linear Programming Bounds in Classical Association Schemes. 2023, doi:10.17619/UNIPB/1-1672.","short":"C. Weiß, Linear Programming Bounds in Classical Association Schemes, 2023.","ieee":"C. Weiß, Linear programming bounds in classical association schemes. 2023."}},{"language":[{"iso":"eng"}],"year":"2023","type":"preprint","citation":{"apa":"Weiß, C. (n.d.). Nontrivial $t$-designs in polar spaces exist for all $t$. In arXiv:2311.08288.","ama":"Weiß C. Nontrivial $t$-designs in polar spaces exist for all $t$. arXiv:231108288.","chicago":"Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.” ArXiv:2311.08288, n.d.","bibtex":"@article{Weiß, title={Nontrivial $t$-designs in polar spaces exist for all $t$}, journal={arXiv:2311.08288}, author={Weiß, Charlene} }","mla":"Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.” ArXiv:2311.08288.","short":"C. Weiß, ArXiv:2311.08288 (n.d.).","ieee":"C. Weiß, “Nontrivial $t$-designs in polar spaces exist for all $t$,” arXiv:2311.08288. ."},"date_updated":"2024-01-08T14:41:18Z","_id":"50299","author":[{"id":"70420","last_name":"Weiß","full_name":"Weiß, Charlene","first_name":"Charlene"}],"department":[{"_id":"100"}],"publication":"arXiv:2311.08288","status":"public","date_created":"2024-01-08T14:39:54Z","publication_status":"submitted","external_id":{"arxiv":["2311.08288"]},"abstract":[{"lang":"eng","text":"A finite classical polar space of rank $n$ consists of the totally isotropic\r\nsubspaces of a finite vector space over $\\mathbb{F}_p$ equipped with a\r\nnondegenerate form such that $n$ is the maximal dimension of such a subspace. A\r\n$t$-$(n,k,\\lambda)$ design in a finite classical polar space of rank $n$ is a\r\ncollection $Y$ of totally isotropic $k$-spaces such that each totally isotropic\r\n$t$-space is contained in exactly $\\lambda$ members of $Y$. Nontrivial examples\r\nare currently only known for $t\\leq 2$. We show that $t$-$(n,k,\\lambda)$\r\ndesigns in polar spaces exist for all $t$ and $p$ provided that\r\n$k>\\frac{21}{2}t$ and $n$ is sufficiently large enough. The proof is based on a\r\nprobabilistic method by Kuperberg, Lovett, and Peled, and it is thus\r\nnonconstructive."}],"user_id":"70420","title":"Nontrivial $t$-designs in polar spaces exist for all $t$"},{"date_created":"2023-11-02T11:22:34Z","status":"public","volume":5,"publication":"Zeitschrift für Schul- Und Professionsentwicklung. (PFLB)","department":[{"_id":"543"},{"_id":"458"}],"author":[{"full_name":"Häsel-Weide, Uta","first_name":"Uta","id":"60267","last_name":"Häsel-Weide"},{"last_name":"Schmidt","full_name":"Schmidt, R.","first_name":"R."},{"id":"21978","last_name":"Büker","full_name":"Büker, Petra","first_name":"Petra"}],"related_material":{"link":[{"relation":"original","url":"https://doi.org/10.11576/pflb-6763 "}]},"user_id":"14931","title":"„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung","language":[{"iso":"eng"}],"page":"215-229","year":"2023","citation":{"short":"U. Häsel-Weide, R. Schmidt, P. Büker, Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB) 5 (2023) 215–229.","ieee":"U. Häsel-Weide, R. Schmidt, and P. Büker, “„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung,” Zeitschrift für Schul- Und Professionsentwicklung. (PFLB), vol. 5, no. 1, pp. 215–229, 2023.","chicago":"Häsel-Weide, Uta, R. Schmidt, and Petra Büker. “„FInDig“: Fach – Inklusion – Digitalisierung Vernetzen. Ein Planungs- Und Reflexionsmodell Für Die Lehrkräftebildung.” Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB) 5, no. 1 (2023): 215–29.","ama":"Häsel-Weide U, Schmidt R, Büker P. „FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung. Zeitschrift für Schul- Und Professionsentwicklung (PFLB). 2023;5(1):215-229.","apa":"Häsel-Weide, U., Schmidt, R., & Büker, P. (2023). „FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung. Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB), 5(1), 215–229.","bibtex":"@article{Häsel-Weide_Schmidt_Büker_2023, title={„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung}, volume={5}, number={1}, journal={Zeitschrift für Schul- Und Professionsentwicklung. (PFLB)}, author={Häsel-Weide, Uta and Schmidt, R. and Büker, Petra}, year={2023}, pages={215–229} }","mla":"Häsel-Weide, Uta, et al. “„FInDig“: Fach – Inklusion – Digitalisierung Vernetzen. Ein Planungs- Und Reflexionsmodell Für Die Lehrkräftebildung.” Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB), vol. 5, no. 1, 2023, pp. 215–29."},"type":"journal_article","issue":"1","_id":"48596","date_updated":"2024-01-11T13:32:19Z","intvolume":" 5"},{"page":"3203-3210","type":"conference","citation":{"short":"L.M. Graf, U. Häsel-Weide, K. Höveler, M. Nührenbörger, in: P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, Alfréd Rényi Institute of Mathematics and ERME (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), 2023, pp. 3203–3210.","ieee":"L. M. Graf, U. Häsel-Weide, K. Höveler, and M. Nührenbörger, “Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics,” in Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), 2023, pp. 3203–3210.","apa":"Graf, L. M., Häsel-Weide, U., Höveler, K., & Nührenbörger, M. (2023). Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, & Alfréd Rényi Institute of Mathematics and ERME (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 3203–3210).","ama":"Graf LM, Häsel-Weide U, Höveler K, Nührenbörger M. Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics. In: Drijvers P, Csapodi C, Palmér H, Gosztonyi K, Kónya E, Alfréd Rényi Institute of Mathematics and ERME, eds. Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). ; 2023:3203-3210.","chicago":"Graf, Lara Marie, Uta Häsel-Weide, K. Höveler, and M. Nührenbörger. “Insights into Out-of-Field Teachers’ Self-Reports: Fostering the Understanding of Addition and Subtraction as a Basis for Children to Overcome Difficulties in Mathematics.” In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, and Alfréd Rényi Institute of Mathematics and ERME, 3203–10, 2023.","bibtex":"@inproceedings{Graf_Häsel-Weide_Höveler_Nührenbörger_2023, title={Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics}, booktitle={Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)}, author={Graf, Lara Marie and Häsel-Weide, Uta and Höveler, K. and Nührenbörger, M.}, editor={Drijvers, P. and Csapodi, C. and Palmér, H. and Gosztonyi, K. and Kónya, E. and Alfréd Rényi Institute of Mathematics and ERME}, year={2023}, pages={3203–3210} }","mla":"Graf, Lara Marie, et al. “Insights into Out-of-Field Teachers’ Self-Reports: Fostering the Understanding of Addition and Subtraction as a Basis for Children to Overcome Difficulties in Mathematics.” Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by P. Drijvers et al., 2023, pp. 3203–10."},"year":"2023","language":[{"iso":"eng"}],"corporate_editor":["Alfréd Rényi Institute of Mathematics and ERME"],"_id":"51131","date_updated":"2024-02-05T08:55:43Z","editor":[{"full_name":"Drijvers, P.","first_name":"P.","last_name":"Drijvers"},{"last_name":"Csapodi","full_name":"Csapodi, C.","first_name":"C."},{"last_name":"Palmér","first_name":"H.","full_name":"Palmér, H."},{"last_name":"Gosztonyi","first_name":"K.","full_name":"Gosztonyi, K."},{"full_name":"Kónya, E.","first_name":"E.","last_name":"Kónya"}],"date_created":"2024-02-05T08:47:35Z","status":"public","department":[{"_id":"543"}],"publication":"Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)","author":[{"id":"89837","last_name":"Graf","full_name":"Graf, Lara Marie","first_name":"Lara Marie"},{"first_name":"Uta","full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","id":"60267"},{"first_name":"K.","full_name":"Höveler, K.","last_name":"Höveler"},{"full_name":"Nührenbörger, M.","first_name":"M.","last_name":"Nührenbörger"}],"title":"Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics","user_id":"14931"},{"type":"journal_article","year":"2023","citation":{"chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric Spaces.” Communications in Mathematical Physics 403 (2023). https://doi.org/10.1007/s00220-023-04819-1.","apa":"Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric spaces. Communications in Mathematical Physics, 403. https://doi.org/10.1007/s00220-023-04819-1","ama":"Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1","bibtex":"@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher rank locally symmetric spaces}, volume={403}, DOI={https://doi.org/10.1007/s00220-023-04819-1}, journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }","mla":"Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric Spaces.” Communications in Mathematical Physics, vol. 403, 2023, doi:https://doi.org/10.1007/s00220-023-04819-1.","short":"T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023).","ieee":"T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank locally symmetric spaces,” Communications in Mathematical Physics, vol. 403, 2023, doi: https://doi.org/10.1007/s00220-023-04819-1."},"language":[{"iso":"eng"}],"intvolume":" 403","_id":"31189","date_updated":"2024-02-06T20:52:40Z","doi":"https://doi.org/10.1007/s00220-023-04819-1","author":[{"orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias","id":"49178","last_name":"Weich"},{"last_name":"Wolf","id":"45027","first_name":"Lasse Lennart","full_name":"Wolf, Lasse Lennart"}],"publication":"Communications in Mathematical Physics","department":[{"_id":"10"},{"_id":"548"},{"_id":"623"}],"volume":403,"publication_identifier":{"unknown":["1275-1295"]},"status":"public","date_created":"2022-05-11T10:38:11Z","external_id":{"arxiv":["2205.03167"]},"abstract":[{"text":"Given a geometrically finite hyperbolic surface of infinite volume it is a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding principal eigenvalues. A large class of examples fulfilling these\r\nassumptions are the non-compact quotients by Anosov subgroups.","lang":"eng"}],"title":"Absence of principal eigenvalues for higher rank locally symmetric spaces","user_id":"49178"},{"doi":"ttps://doi.org/10.1007/s00220-022-04538-z","intvolume":" 398","_id":"31059","date_updated":"2024-02-11T19:56:15Z","language":[{"iso":"eng"}],"page":"655-678","type":"journal_article","citation":{"short":"P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678.","ieee":"P. Schütte, T. Weich, and S. Barkhofen, “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems,” Communications in Mathematical Physics, vol. 398, pp. 655–678, 2023, doi: ttps://doi.org/10.1007/s00220-022-04538-z.","chicago":"Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics 398 (2023): 655–78. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z.","apa":"Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics, 398, 655–678. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z","ama":"Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics. 2023;398:655-678. doi:ttps://doi.org/10.1007/s00220-022-04538-z","mla":"Schütte, Philipp, et al. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics, vol. 398, 2023, pp. 655–78, doi:ttps://doi.org/10.1007/s00220-022-04538-z.","bibtex":"@article{Schütte_Weich_Barkhofen_2023, title={Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems}, volume={398}, DOI={ttps://doi.org/10.1007/s00220-022-04538-z}, journal={Communications in Mathematical Physics}, author={Schütte, Philipp and Weich, Tobias and Barkhofen, Sonja}, year={2023}, pages={655–678} }"},"year":"2023","user_id":"49178","title":"Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems","abstract":[{"lang":"eng","text":"In this article we prove meromorphic continuation of weighted zeta functions in the framework of open hyperbolic systems by using the meromorphically continued restricted resolvent of Dyatlov and Guillarmou (2016). We obtain a residue formula proving equality between residues of weighted zetas and invariant Ruelle distributions. We combine this equality with results of Guillarmou, Hilgert and Weich (2021) in order to relate the residues to Patterson-Sullivan distributions. Finally we provide proof-of-principle results concerning the numerical calculation of invariant Ruelle distributions for 3-disc scattering systems."}],"external_id":{"arxiv":["2112.05791"]},"date_created":"2022-05-04T12:27:46Z","status":"public","volume":398,"publication":"Communications in Mathematical Physics","department":[{"_id":"10"},{"_id":"548"},{"_id":"623"}],"author":[{"full_name":"Schütte, Philipp","first_name":"Philipp","id":"50168","last_name":"Schütte"},{"last_name":"Weich","id":"49178","first_name":"Tobias","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919"},{"id":"48188","last_name":"Barkhofen","full_name":"Barkhofen, Sonja","first_name":"Sonja"}]},{"date_updated":"2024-02-11T19:56:01Z","_id":"51206","citation":{"chicago":"Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023.","apa":"Schütte, P., & Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions. In arXiv:2308.13463.","ama":"Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions. arXiv:230813463. Published online 2023.","mla":"Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023.","bibtex":"@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463}, author={Schütte, Philipp and Weich, Tobias}, year={2023} }","short":"P. Schütte, T. Weich, ArXiv:2308.13463 (2023).","ieee":"P. Schütte and T. Weich, “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions,” arXiv:2308.13463. 2023."},"type":"preprint","year":"2023","language":[{"iso":"eng"}],"external_id":{"arxiv":["2308.13463"]},"abstract":[{"lang":"eng","text":"We present a numerical algorithm for the computation of invariant Ruelle\r\ndistributions on convex co-compact hyperbolic surfaces. This is achieved by\r\nexploiting the connection between invariant Ruelle distributions and residues\r\nof meromorphically continued weighted zeta functions established by the authors\r\ntogether with Barkhofen (2021). To make this applicable for numerics we express\r\nthe weighted zeta as the logarithmic derivative of a suitable parameter\r\ndependent Fredholm determinant similar to Borthwick (2014). As an additional\r\ndifficulty our transfer operator has to include a contracting direction which\r\nwe account for with techniques developed by Rugh (1992). We achieve a further\r\nimprovement in convergence speed for our algorithm in the case of surfaces with\r\nadditional symmetries by proving and applying a symmetry reduction of weighted\r\nzeta functions."}],"title":"Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"publication":"arXiv:2308.13463","author":[{"full_name":"Schütte, Philipp","first_name":"Philipp","id":"50168","last_name":"Schütte"},{"id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias"}],"date_created":"2024-02-06T20:58:35Z","status":"public"},{"_id":"51207","date_updated":"2024-02-11T19:55:58Z","citation":{"short":"T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023).","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” arXiv:2304.09573. 2023.","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. arXiv:230409573. Published online 2023.","apa":"Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces: The product case. In arXiv:2304.09573.","chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.","bibtex":"@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces: The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }","mla":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023."},"year":"2023","type":"preprint","language":[{"iso":"eng"}],"title":"Temperedness of locally symmetric spaces: The product case","user_id":"49178","external_id":{"arxiv":["2304.09573"]},"abstract":[{"text":"Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$.","lang":"eng"}],"status":"public","date_created":"2024-02-06T21:00:55Z","author":[{"full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias","id":"49178","last_name":"Weich"},{"id":"45027","last_name":"Wolf","full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart"}],"publication":"arXiv:2304.09573","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}]},{"publication_identifier":{"issn":["0166-218X"]},"publication_status":"published","department":[{"_id":"542"}],"title":"Bounds for the chromatic index of signed multigraphs","language":[{"iso":"eng"}],"doi":"10.1016/j.dam.2023.05.008","date_updated":"2024-02-14T17:33:59Z","date_created":"2024-02-14T17:33:29Z","status":"public","volume":337,"publication":"Discrete Applied Mathematics","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"author":[{"orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","first_name":"Eckhard","id":"15548","last_name":"Steffen"},{"first_name":"Isaak Hieronymus","full_name":"Wolf, Isaak Hieronymus","last_name":"Wolf","id":"88145"}],"publisher":"Elsevier BV","user_id":"15540","page":"185-189","citation":{"ama":"Steffen E, Wolf IH. Bounds for the chromatic index of signed multigraphs. Discrete Applied Mathematics. 2023;337:185-189. doi:10.1016/j.dam.2023.05.008","apa":"Steffen, E., & Wolf, I. H. (2023). Bounds for the chromatic index of signed multigraphs. Discrete Applied Mathematics, 337, 185–189. https://doi.org/10.1016/j.dam.2023.05.008","chicago":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” Discrete Applied Mathematics 337 (2023): 185–89. https://doi.org/10.1016/j.dam.2023.05.008.","bibtex":"@article{Steffen_Wolf_2023, title={Bounds for the chromatic index of signed multigraphs}, volume={337}, DOI={10.1016/j.dam.2023.05.008}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={185–189} }","mla":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” Discrete Applied Mathematics, vol. 337, Elsevier BV, 2023, pp. 185–89, doi:10.1016/j.dam.2023.05.008.","short":"E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.","ieee":"E. Steffen and I. H. Wolf, “Bounds for the chromatic index of signed multigraphs,” Discrete Applied Mathematics, vol. 337, pp. 185–189, 2023, doi: 10.1016/j.dam.2023.05.008."},"year":"2023","type":"journal_article","intvolume":" 337","_id":"51351"},{"language":[{"iso":"eng"}],"citation":{"chicago":"Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks.” In The Digital Twin of Humans, 93--110. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-26104-6_5.","apa":"Cappello, C., & Steffen, E. (2023). Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks. In The Digital Twin of Humans (pp. 93--110). Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6_5","ama":"Cappello C, Steffen E. Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks. In: The Digital Twin of Humans. Springer International Publishing; 2023:93--110. doi:10.1007/978-3-031-26104-6_5","bibtex":"@inbook{Cappello_Steffen_2023, place={Cham}, title={Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks}, DOI={10.1007/978-3-031-26104-6_5}, booktitle={The Digital Twin of Humans}, publisher={Springer International Publishing}, author={Cappello, Chiara and Steffen, Eckhard}, year={2023}, pages={93--110} }","mla":"Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks.” The Digital Twin of Humans, Springer International Publishing, 2023, pp. 93--110, doi:10.1007/978-3-031-26104-6_5.","short":"C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International Publishing, Cham, 2023, pp. 93--110.","ieee":"C. Cappello and E. Steffen, “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks,” in The Digital Twin of Humans, Cham: Springer International Publishing, 2023, pp. 93--110."},"year":"2023","type":"book_chapter","page":"93--110","doi":"10.1007/978-3-031-26104-6_5","date_updated":"2024-02-16T07:42:38Z","_id":"45190","status":"public","date_created":"2023-05-22T10:22:21Z","publication_status":"published","publication_identifier":{"isbn":["9783031261039","9783031261046"]},"author":[{"first_name":"Chiara","full_name":"Cappello, Chiara","last_name":"Cappello","id":"72874"},{"last_name":"Steffen","id":"15548","first_name":"Eckhard","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard"}],"publisher":"Springer International Publishing","department":[{"_id":"542"}],"publication":"The Digital Twin of Humans","user_id":"15540","title":"Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks","place":"Cham"},{"year":"2023","citation":{"apa":"Steffen, E., & Wolf, I. H. (2023). Rotation r-graphs. Discrete Mathematics, Article 113457. https://doi.org/10.1016/j.disc.2023.113457","ama":"Steffen E, Wolf IH. Rotation r-graphs. Discrete Mathematics. Published online 2023. doi:10.1016/j.disc.2023.113457","chicago":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete Mathematics, 2023. https://doi.org/10.1016/j.disc.2023.113457.","mla":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete Mathematics, 113457, Elsevier BV, 2023, doi:10.1016/j.disc.2023.113457.","bibtex":"@article{Steffen_Wolf_2023, title={Rotation r-graphs}, DOI={10.1016/j.disc.2023.113457}, number={113457}, journal={Discrete Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023} }","short":"E. Steffen, I.H. Wolf, Discrete Mathematics (2023).","ieee":"E. Steffen and I. H. Wolf, “Rotation r-graphs,” Discrete Mathematics, Art. no. 113457, 2023, doi: 10.1016/j.disc.2023.113457."},"type":"journal_article","language":[{"iso":"eng"}],"_id":"51357","date_updated":"2024-02-16T08:45:10Z","doi":"10.1016/j.disc.2023.113457","article_number":"113457","keyword":["Discrete Mathematics and Combinatorics","Theoretical Computer Science"],"publication":"Discrete Mathematics","department":[{"_id":"542"}],"author":[{"id":"15548","last_name":"Steffen","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","first_name":"Eckhard"},{"last_name":"Wolf","id":"88145","first_name":"Isaak Hieronymus","full_name":"Wolf, Isaak Hieronymus"}],"publisher":"Elsevier BV","publication_status":"published","publication_identifier":{"issn":["0012-365X"]},"date_created":"2024-02-16T08:44:50Z","status":"public","title":"Rotation r-graphs","user_id":"15540"},{"type":"preprint","citation":{"ieee":"B. Hinrichs, M. Lemm, and O. Siebert, “On Lieb-Robinson bounds for a class of continuum fermions,” arXiv:2310.17736. 2023.","short":"B. Hinrichs, M. Lemm, O. Siebert, ArXiv:2310.17736 (2023).","mla":"Hinrichs, Benjamin, et al. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023.","bibtex":"@article{Hinrichs_Lemm_Siebert_2023, title={On Lieb-Robinson bounds for a class of continuum fermions}, journal={arXiv:2310.17736}, author={Hinrichs, Benjamin and Lemm, Marius and Siebert, Oliver}, year={2023} }","ama":"Hinrichs B, Lemm M, Siebert O. On Lieb-Robinson bounds for a class of continuum fermions. arXiv:231017736. Published online 2023.","apa":"Hinrichs, B., Lemm, M., & Siebert, O. (2023). On Lieb-Robinson bounds for a class of continuum fermions. In arXiv:2310.17736.","chicago":"Hinrichs, Benjamin, Marius Lemm, and Oliver Siebert. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023."},"year":"2023","language":[{"iso":"eng"}],"_id":"51375","date_updated":"2024-02-18T12:34:43Z","department":[{"_id":"799"}],"publication":"arXiv:2310.17736","author":[{"id":"99427","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","first_name":"Benjamin"},{"full_name":"Lemm, Marius","first_name":"Marius","last_name":"Lemm"},{"first_name":"Oliver","full_name":"Siebert, Oliver","last_name":"Siebert"}],"project":[{"name":"PhoQC: PhoQC: Photonisches Quantencomputing","grant_number":"PROFILNRW-2020-067","_id":"266"}],"date_created":"2024-02-18T12:33:21Z","status":"public","abstract":[{"text":"We consider the quantum dynamics of a many-fermion system in $\\mathbb R^d$\r\nwith an ultraviolet regularized pair interaction as previously studied in [M.\r\nGebert, B. Nachtergaele, J. Reschke, and R. Sims, Ann. Henri Poincar\\'e 21.11\r\n(2020)]. We provide a Lieb-Robinson bound under substantially relaxed\r\nassumptions on the potentials. We also improve the associated one-body\r\nLieb-Robinson bound on $L^2$-overlaps to an almost ballistic one (i.e., an\r\nalmost linear light cone) under the same relaxed assumptions. Applications\r\ninclude the existence of the infinite-volume dynamics and clustering of ground\r\nstates in the presence of a spectral gap. We also develop a fermionic continuum\r\nnotion of conditional expectation and use it to approximate time-evolved\r\nfermionic observables by local ones, which opens the door to other applications\r\nof the Lieb-Robinson bounds.","lang":"eng"}],"external_id":{"arxiv":["2310.17736"]},"title":"On Lieb-Robinson bounds for a class of continuum fermions","user_id":"99427"},{"type":"preprint","citation":{"mla":"Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate.” ArXiv:2311.05361, 2023.","bibtex":"@article{Hinrichs_Lampart_2023, title={A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate}, journal={arXiv:2311.05361}, author={Hinrichs, Benjamin and Lampart, Jonas}, year={2023} }","chicago":"Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate.” ArXiv:2311.05361, 2023.","ama":"Hinrichs B, Lampart J. A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate. arXiv:231105361. Published online 2023.","apa":"Hinrichs, B., & Lampart, J. (2023). A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate. In arXiv:2311.05361.","ieee":"B. Hinrichs and J. Lampart, “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate,” arXiv:2311.05361. 2023.","short":"B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023)."},"year":"2023","language":[{"iso":"eng"}],"date_updated":"2024-02-18T12:34:22Z","_id":"51376","author":[{"full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","first_name":"Benjamin","id":"99427","last_name":"Hinrichs"},{"last_name":"Lampart","first_name":"Jonas","full_name":"Lampart, Jonas"}],"publication":"arXiv:2311.05361","department":[{"_id":"799"}],"status":"public","project":[{"_id":"266","grant_number":"PROFILNRW-2020-067","name":"PhoQC: PhoQC: Photonisches Quantencomputing"}],"date_created":"2024-02-18T12:33:48Z","external_id":{"arxiv":["2311.05361"]},"abstract":[{"text":"In the Bogoliubov-Fr\\\"ohlich model, we prove that an impurity immersed in a\r\nBose-Einstein condensate forms a stable quasi-particle when the total momentum\r\nis less than its mass times the speed of sound. The system thus exhibits\r\nsuperfluid behavior, as this quasi-particle does not experience friction. We do\r\nnot assume any infrared or ultraviolet regularization of the model, which\r\ncontains massless excitations and point-like interactions.","lang":"eng"}],"title":"A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate","user_id":"99427"},{"intvolume":" 16","_id":"31190","date_updated":"2024-02-19T06:29:52Z","issue":"10","page":"2241–2265","type":"journal_article","citation":{"ieee":"J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” Analysis & PDE, vol. 16, no. 10, pp. 2241–2265, 2023.","short":"J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.","mla":"Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE, vol. 16, no. 10, MSP, 2023, pp. 2241–2265.","bibtex":"@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical correspondence}, volume={16}, number={10}, journal={Analysis & PDE}, publisher={MSP}, author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }","chicago":"Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265.","ama":"Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. Analysis & PDE. 2023;16(10):2241–2265.","apa":"Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical correspondence. Analysis & PDE, 16(10), 2241–2265."},"year":"2023","language":[{"iso":"eng"}],"external_id":{"arxiv":["2103.05667"]},"abstract":[{"lang":"eng","text":"For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$ of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions of the algebra of invariant differential\r\noperators on $G/K$."}],"title":"Higher rank quantum-classical correspondence","user_id":"49063","publication":"Analysis & PDE","department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"publisher":"MSP","author":[{"id":"220","last_name":"Hilgert","full_name":"Hilgert, Joachim","first_name":"Joachim"},{"id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias"},{"first_name":"Lasse Lennart","full_name":"Wolf, Lasse Lennart","last_name":"Wolf","id":"45027"}],"volume":16,"date_created":"2022-05-11T10:41:35Z","status":"public"},{"citation":{"ama":"Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. arXiv:230710876. Published online 2023.","apa":"Bux, K.-U., Hilgert, J., & Weich, T. (2023). Spectral correspondences for finite graphs without dead ends. In arXiv:2307.10876.","chicago":"Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023.","bibtex":"@article{Bux_Hilgert_Weich_2023, title={Spectral correspondences for finite graphs without dead ends}, journal={arXiv:2307.10876}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2023} }","mla":"Bux, Kai-Uwe, et al. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023.","short":"K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).","ieee":"K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” arXiv:2307.10876. 2023."},"type":"preprint","year":"2023","language":[{"iso":"eng"}],"_id":"51205","date_updated":"2024-02-19T06:29:24Z","author":[{"last_name":"Bux","full_name":"Bux, Kai-Uwe","first_name":"Kai-Uwe"},{"last_name":"Hilgert","id":"220","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"id":"49178","last_name":"Weich","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias"}],"publication":"arXiv:2307.10876","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"status":"public","date_created":"2024-02-06T20:54:28Z","external_id":{"arxiv":["2307.10876"]},"abstract":[{"lang":"eng","text":"We compare the spectral properties of two kinds of linear operators\r\ncharacterizing the (classical) geodesic flow and its quantization on connected\r\nlocally finite graphs without dead ends. The first kind are transfer operators\r\nacting on vector spaces associated with the set of non backtracking paths in\r\nthe graphs. The second kind of operators are averaging operators acting on\r\nvector spaces associated with the space of vertices of the graph. The choice of\r\nvector spaces reflects regularity properties. Our main results are\r\ncorrespondences between classical and quantum spectral objects as well as some\r\nautomatic regularity properties for eigenfunctions of transfer operators."}],"title":"Spectral correspondences for finite graphs without dead ends","user_id":"49063"},{"publication_status":"published","publication_identifier":{"eissn":["2270-518X"],"issn":["2429-7100"]},"department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"title":"Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters","external_id":{"arxiv":["2112.11073"]},"language":[{"iso":"eng"}],"doi":"10.5802/jep.220","date_updated":"2024-02-19T06:30:26Z","volume":10,"date_created":"2022-05-11T12:27:00Z","status":"public","publication":"Journal de l’École polytechnique — Mathématiques","keyword":["Ruelle resonances","Poisson transforms","locally symmetric spaces","principal series representations"],"author":[{"last_name":"Arends","id":"43994","first_name":"Christian","full_name":"Arends, Christian"},{"last_name":"Hilgert","id":"220","first_name":"Joachim","full_name":"Hilgert, Joachim"}],"user_id":"49063","abstract":[{"lang":"eng","text":"In this paper we complete the program of relating the Laplace spectrum for\r\nrank one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset of exceptional spectral parameters always left untreated since the\r\ncorresponding Poisson transforms are neither injective nor surjective. We use\r\nvector valued Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces the exceptional spectral parameters lead to discrete\r\nseries representations of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more complicated, but can be described completely."}],"page":"335-403","citation":{"bibtex":"@article{Arends_Hilgert_2023, title={Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters}, volume={10}, DOI={10.5802/jep.220}, journal={Journal de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert, Joachim}, year={2023}, pages={335–403} }","mla":"Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403, doi:10.5802/jep.220.","ama":"Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École polytechnique — Mathématiques. 2023;10:335-403. doi:10.5802/jep.220","apa":"Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220","chicago":"Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.","ieee":"C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.","short":"C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403."},"year":"2023","type":"journal_article","intvolume":" 10","_id":"31210"},{"language":[{"iso":"eng"}],"page":"335-403","citation":{"ieee":"J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters,” J. de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023.","short":"J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403.","mla":"Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403.","bibtex":"@article{Hilgert_Arends_2023, title={Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters}, volume={10}, journal={J. de l’École polytechnique — Mathématiques}, author={Hilgert, Joachim and Arends, C.}, year={2023}, pages={335–403} }","chicago":"Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique — Mathématiques 10 (2023): 335–403.","ama":"Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J de l’École polytechnique — Mathématiques. 2023;10:335-403.","apa":"Hilgert, J., & Arends, C. (2023). Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J. de l’École Polytechnique — Mathématiques, 10, 335–403."},"type":"journal_article","year":"2023","_id":"51383","intvolume":" 10","date_updated":"2024-02-19T06:34:16Z","date_created":"2024-02-19T06:34:11Z","status":"public","volume":10,"publication_status":"published","publication":"J. de l'École polytechnique — Mathématiques","department":[{"_id":"91"}],"author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","last_name":"Hilgert","id":"220"},{"last_name":"Arends","full_name":"Arends, C.","first_name":"C."}],"user_id":"49063","title":"Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters"},{"language":[{"iso":"eng"}],"page":"186-232","type":"journal_article","year":"2023","citation":{"mla":"Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” J. Diff. Equations, vol. 343, 2023, pp. 186–232.","bibtex":"@article{Hilgert_Glöckner_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, journal={J. Diff. Equations}, author={Hilgert, Joachim and Glöckner, H.}, year={2023}, pages={186–232} }","chicago":"Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” J. Diff. Equations 343 (2023): 186–232.","ama":"Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J Diff Equations. 2023;343:186-232.","apa":"Hilgert, J., & Glöckner, H. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J. Diff. Equations, 343, 186–232.","ieee":"J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” J. Diff. Equations, vol. 343, pp. 186–232, 2023.","short":"J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232."},"_id":"51384","intvolume":" 343","date_updated":"2024-02-19T06:35:13Z","department":[{"_id":"91"}],"publication":"J. Diff. Equations","author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","id":"220","last_name":"Hilgert"},{"full_name":"Glöckner, H.","first_name":"H.","last_name":"Glöckner"}],"date_created":"2024-02-19T06:35:08Z","status":"public","publication_status":"published","volume":343,"user_id":"49063","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds"},{"oa":"1","date_updated":"2024-02-19T10:31:18Z","_id":"51499","language":[{"iso":"eng"}],"citation":{"bibtex":"@article{Hilgert_Arends_Frahm_2023, title={A pairing formula for resonant states on finite regular graphs}, author={Hilgert, Joachim and Arends, C. and Frahm, J.}, year={2023} }","mla":"Hilgert, Joachim, et al. A Pairing Formula for Resonant States on Finite Regular Graphs. 2023.","ama":"Hilgert J, Arends C, Frahm J. A pairing formula for resonant states on finite regular graphs. Published online 2023.","apa":"Hilgert, J., Arends, C., & Frahm, J. (2023). A pairing formula for resonant states on finite regular graphs.","chicago":"Hilgert, Joachim, C. Arends, and J. Frahm. “A Pairing Formula for Resonant States on Finite Regular Graphs,” 2023.","ieee":"J. Hilgert, C. Arends, and J. Frahm, “A pairing formula for resonant states on finite regular graphs.” 2023.","short":"J. Hilgert, C. Arends, J. Frahm, (2023)."},"year":"2023","type":"preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2312.10509.pdf"}],"user_id":"49063","title":"A pairing formula for resonant states on finite regular graphs","status":"public","date_created":"2024-02-19T10:30:18Z","publication_status":"published","author":[{"last_name":"Hilgert","id":"220","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"full_name":"Arends, C.","first_name":"C.","last_name":"Arends"},{"first_name":"J.","full_name":"Frahm, J.","last_name":"Frahm"}],"department":[{"_id":"91"}]},{"department":[{"_id":"91"}],"author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","last_name":"Hilgert","id":"220"},{"first_name":"C.","full_name":"Arends, C.","last_name":"Arends"},{"first_name":"J.","full_name":"Frahm, J.","last_name":"Frahm"}],"date_created":"2024-02-19T10:31:14Z","status":"public","publication_status":"published","user_id":"49063","title":"Edge Laplacians and vector valued Poisson transforms for graphs","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2312.09101.pdf"}],"language":[{"iso":"eng"}],"citation":{"mla":"Hilgert, Joachim, et al. Edge Laplacians and Vector Valued Poisson Transforms for Graphs. 2023.","bibtex":"@article{Hilgert_Arends_Frahm_2023, title={Edge Laplacians and vector valued Poisson transforms for graphs}, author={Hilgert, Joachim and Arends, C. and Frahm, J.}, year={2023} }","chicago":"Hilgert, Joachim, C. Arends, and J. Frahm. “Edge Laplacians and Vector Valued Poisson Transforms for Graphs,” 2023.","apa":"Hilgert, J., Arends, C., & Frahm, J. (2023). Edge Laplacians and vector valued Poisson transforms for graphs.","ama":"Hilgert J, Arends C, Frahm J. Edge Laplacians and vector valued Poisson transforms for graphs. Published online 2023.","ieee":"J. Hilgert, C. Arends, and J. Frahm, “Edge Laplacians and vector valued Poisson transforms for graphs.” 2023.","short":"J. Hilgert, C. Arends, J. Frahm, (2023)."},"type":"preprint","year":"2023","_id":"51500","date_updated":"2024-02-19T10:31:18Z","oa":"1"},{"publication_status":"published","status":"public","date_created":"2024-02-19T10:33:16Z","author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","id":"220","last_name":"Hilgert"},{"first_name":"T.","full_name":"Baier, T.","last_name":"Baier"},{"last_name":"Kaya","full_name":"Kaya, O.","first_name":"O."},{"full_name":"Mourao, J.","first_name":"J.","last_name":"Mourao"},{"last_name":"Nunes","first_name":"J.","full_name":"Nunes, J."}],"department":[{"_id":"91"}],"title":"Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem","user_id":"49063","type":"preprint","citation":{"bibtex":"@article{Hilgert_Baier_Kaya_Mourao_Nunes_2023, title={Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem}, author={Hilgert, Joachim and Baier, T. and Kaya, O. and Mourao, J. and Nunes, J.}, year={2023} }","mla":"Hilgert, Joachim, et al. Quantization in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem. 2023.","chicago":"Hilgert, Joachim, T. Baier, O. Kaya, J. Mourao, and J. Nunes. “Quantization in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem,” 2023.","ama":"Hilgert J, Baier T, Kaya O, Mourao J, Nunes J. Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem. Published online 2023.","apa":"Hilgert, J., Baier, T., Kaya, O., Mourao, J., & Nunes, J. (2023). Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.","ieee":"J. Hilgert, T. Baier, O. Kaya, J. Mourao, and J. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.” 2023.","short":"J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023)."},"year":"2023","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2301.10853.pdf"}],"oa":"1","_id":"51502","date_updated":"2024-02-19T10:33:20Z"},{"status":"public","date_created":"2024-02-20T08:20:13Z","publication_status":"published","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","last_name":"Hilgert","id":"220"},{"first_name":"Y.","full_name":"Guedes Bonthonneau, Y.","last_name":"Guedes Bonthonneau"},{"full_name":"Guillarmou, C.","first_name":"C.","last_name":"Guillarmou"},{"first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","last_name":"Weich","id":"49178"}],"department":[{"_id":"91"}],"user_id":"49063","title":"Ruelle-Taylor resonances of Anosov actions","language":[{"iso":"eng"}],"citation":{"mla":"Hilgert, Joachim, et al. Ruelle-Taylor Resonances of Anosov Actions. 2023.","bibtex":"@article{Hilgert_Guedes Bonthonneau_Guillarmou_Weich_2023, title={Ruelle-Taylor resonances of Anosov actions}, author={Hilgert, Joachim and Guedes Bonthonneau, Y. and Guillarmou, C. and Weich, Tobias}, year={2023} }","chicago":"Hilgert, Joachim, Y. Guedes Bonthonneau, C. Guillarmou, and Tobias Weich. “Ruelle-Taylor Resonances of Anosov Actions,” 2023.","ama":"Hilgert J, Guedes Bonthonneau Y, Guillarmou C, Weich T. Ruelle-Taylor resonances of Anosov actions. Published online 2023.","apa":"Hilgert, J., Guedes Bonthonneau, Y., Guillarmou, C., & Weich, T. (2023). Ruelle-Taylor resonances of Anosov actions.","ieee":"J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor resonances of Anosov actions.” 2023.","short":"J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023)."},"year":"2023","type":"preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2007.14275.pdf"}],"oa":"1","date_updated":"2024-02-20T08:20:16Z","_id":"51521"},{"external_id":{"arxiv":["2307.00975"]},"abstract":[{"text":"We present a new gradient-like dynamical system related to unconstrained convex smooth multiobjective optimization which involves inertial effects and asymptotic vanishing damping. To the best of our knowledge, this system is the first inertial gradient-like system for multiobjective optimization problems including asymptotic vanishing damping, expanding the ideas laid out in [H. Attouch and G. Garrigos, Multiobjective optimization: an inertial approach to Pareto optima, preprint, arXiv:1506.02823, 201]. We prove existence of solutions to this system in finite dimensions and further prove that its bounded solutions converge weakly to weakly Pareto optimal points. In addition, we obtain a convergence rate of order O(t−2) for the function values measured with a merit function. This approach presents a good basis for the development of fast gradient methods for multiobjective optimization.","lang":"eng"}],"title":"Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping","user_id":"56399","author":[{"first_name":"Konstantin","full_name":"Sonntag, Konstantin","orcid":"https://orcid.org/0000-0003-3384-3496","last_name":"Sonntag","id":"56399"},{"first_name":"Sebastian","full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","last_name":"Peitz","id":"47427"}],"publication":"arXiv:2307.00975","department":[{"_id":"101"},{"_id":"655"}],"status":"public","date_created":"2022-07-28T11:53:02Z","date_updated":"2024-02-21T10:15:33Z","_id":"32447","oa":"1","main_file_link":[{"url":"https://arxiv.org/pdf/2307.00975.pdf","open_access":"1"}],"type":"preprint","year":"2023","citation":{"short":"K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023).","ieee":"K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping,” arXiv:2307.00975. 2023.","apa":"Sonntag, K., & Peitz, S. (2023). Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping. In arXiv:2307.00975.","ama":"Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping. arXiv:230700975. Published online 2023.","chicago":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975, 2023.","bibtex":"@article{Sonntag_Peitz_2023, title={Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping}, journal={arXiv:2307.00975}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2023} }","mla":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975, 2023."},"language":[{"iso":"eng"}]},{"external_id":{"arxiv":["2308.01113"]},"abstract":[{"lang":"eng","text":"Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to compute the set of optimal compromises (the Pareto set) between the conflicting objectives. The advances in algorithms and the increasing interest in Pareto-optimal solutions have led to a wide range of new applications related to optimal and feedback control - potentially with non-smoothness both on the level of the objectives or in the system dynamics. This results in new challenges such as dealing with expensive models (e.g., governed by partial differential equations (PDEs)) and developing dedicated algorithms handling the non-smoothness. Since in contrast to single-objective optimization, the Pareto set generally consists of an infinite number of solutions, the computational effort can quickly become challenging, which is particularly problematic when the objectives are costly to evaluate or when a solution has to be presented very quickly. This article gives an overview of recent developments in the field of multiobjective optimization of non-smooth PDE-constrained problems. In particular we report on the advances achieved within Project 2 \"Multiobjective Optimization of Non-Smooth PDE-Constrained Problems - Switches, State Constraints and Model Order Reduction\" of the DFG Priority Programm 1962 \"Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization\"."}],"title":"Multiobjective Optimization of Non-Smooth PDE-Constrained Problems","user_id":"47427","department":[{"_id":"655"},{"_id":"101"}],"publication":"arXiv:2308.01113","author":[{"first_name":"Marco","full_name":"Bernreuther, Marco","last_name":"Bernreuther"},{"full_name":"Dellnitz, Michael","first_name":"Michael","last_name":"Dellnitz"},{"last_name":"Gebken","id":"32643","first_name":"Bennet","full_name":"Gebken, Bennet"},{"last_name":"Müller","first_name":"Georg","full_name":"Müller, Georg"},{"last_name":"Peitz","id":"47427","first_name":"Sebastian","full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X"},{"first_name":"Konstantin","orcid":"https://orcid.org/0000-0003-3384-3496","full_name":"Sonntag, Konstantin","last_name":"Sonntag","id":"56399"},{"full_name":"Volkwein, Stefan","first_name":"Stefan","last_name":"Volkwein"}],"date_created":"2023-08-21T05:50:12Z","status":"public","date_updated":"2024-02-21T12:22:20Z","_id":"46578","oa":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2308.01113"}],"year":"2023","type":"preprint","citation":{"ieee":"M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” arXiv:2308.01113. 2023.","short":"M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023).","bibtex":"@article{Bernreuther_Dellnitz_Gebken_Müller_Peitz_Sonntag_Volkwein_2023, title={Multiobjective Optimization of Non-Smooth PDE-Constrained Problems}, journal={arXiv:2308.01113}, author={Bernreuther, Marco and Dellnitz, Michael and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Sonntag, Konstantin and Volkwein, Stefan}, year={2023} }","mla":"Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.","chicago":"Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.","ama":"Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online 2023.","apa":"Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag, K., & Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In arXiv:2308.01113."},"language":[{"iso":"eng"}]},{"_id":"34803","intvolume":" 63","date_updated":"2024-03-22T15:53:58Z","article_number":"50","doi":"10.1007/s10543-023-00989-05","type":"journal_article","year":"2023","citation":{"ieee":"E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks on diffeomorphism groups for optimal shape reparametrization,” BIT Numerical Mathematics, vol. 63, Art. no. 50, 2023, doi: 10.1007/s10543-023-00989-05.","short":"E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics 63 (2023).","mla":"Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics, vol. 63, 50, Springer, 2023, doi:10.1007/s10543-023-00989-05.","bibtex":"@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={10.1007/s10543-023-00989-05}, number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni, Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023} }","chicago":"Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics 63 (2023). https://doi.org/10.1007/s10543-023-00989-05.","apa":"Celledoni, E., Glöckner, H., Riseth, J., & Schmeding, A. (2023). Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics, 63, Article 50. https://doi.org/10.1007/s10543-023-00989-05","ama":"Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics. 2023;63. doi:10.1007/s10543-023-00989-05"},"language":[{"iso":"eng"}],"external_id":{"arxiv":["2207.11141"]},"title":"Deep neural networks on diffeomorphism groups for optimal shape reparametrization","user_id":"178","author":[{"last_name":"Celledoni","full_name":"Celledoni, Elena","first_name":"Elena"},{"first_name":"Helge","full_name":"Glöckner, Helge","last_name":"Glöckner","id":"178"},{"full_name":"Riseth, Jørgen","first_name":"Jørgen","last_name":"Riseth"},{"last_name":"Schmeding","first_name":"Alexander","full_name":"Schmeding, Alexander"}],"publisher":"Springer","publication":"BIT Numerical Mathematics","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"volume":63,"status":"public","date_created":"2022-12-22T07:37:20Z"},{"author":[{"last_name":"Glöckner","id":"178","first_name":"Helge","full_name":"Glöckner, Helge"},{"id":"220","last_name":"Hilgert","full_name":"Hilgert, Joachim","first_name":"Joachim"}],"quality_controlled":"1","keyword":["22E65","28B05","34A12","34H05","46E30","46E40"],"publication":"Journal of Differential Equations","volume":343,"status":"public","date_created":"2022-12-21T19:31:13Z","article_type":"original","user_id":"178","year":"2023","citation":{"ieee":"H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.","short":"H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.","bibtex":"@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }","mla":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations, vol. 343, 2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001.","chicago":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023): 186–232. https://doi.org/10.1016/j.jde.2022.10.001.","ama":"Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232. doi:10.1016/j.jde.2022.10.001","apa":"Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations, 343, 186–232. https://doi.org/10.1016/j.jde.2022.10.001"},"type":"journal_article","page":"186–232","_id":"34793","intvolume":" 343","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"},{"_id":"91"}],"publication_identifier":{"issn":["0022-0396"]},"external_id":{"arxiv":["2007.11277"]},"title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","language":[{"iso":"eng"}],"date_updated":"2024-03-22T16:02:32Z","doi":"10.1016/j.jde.2022.10.001"},{"abstract":[{"text":"Let $E$ be a finite-dimensional real vector space and $M\\subseteq E$ be a\r\nconvex polytope with non-empty interior. We turn the group of all\r\n$C^\\infty$-diffeomorphisms of $M$ into a regular Lie group.","lang":"eng"}],"external_id":{"arxiv":["2203.09285"]},"user_id":"178","title":"Diffeomorphism groups of convex polytopes","author":[{"last_name":"Glöckner","id":"178","first_name":"Helge","full_name":"Glöckner, Helge"}],"publisher":"Heldermann","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication":"Journal of Convex Analysis","status":"public","date_created":"2022-12-22T07:45:13Z","volume":30,"date_updated":"2024-03-22T16:07:00Z","_id":"34805","intvolume":" 30","issue":"1","language":[{"iso":"eng"}],"type":"journal_article","year":"2023","citation":{"short":"H. Glöckner, Journal of Convex Analysis 30 (2023) 343–358.","ieee":"H. Glöckner, “Diffeomorphism groups of convex polytopes,” Journal of Convex Analysis, vol. 30, no. 1, pp. 343–358, 2023.","chicago":"Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis 30, no. 1 (2023): 343–58.","ama":"Glöckner H. Diffeomorphism groups of convex polytopes. Journal of Convex Analysis. 2023;30(1):343-358.","apa":"Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. Journal of Convex Analysis, 30(1), 343–358.","bibtex":"@article{Glöckner_2023, title={Diffeomorphism groups of convex polytopes}, volume={30}, number={1}, journal={Journal of Convex Analysis}, publisher={Heldermann}, author={Glöckner, Helge}, year={2023}, pages={343–358} }","mla":"Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis, vol. 30, no. 1, Heldermann, 2023, pp. 343–58."},"page":"343-358"},{"external_id":{"arxiv":["2210.01246"]},"user_id":"178","title":"Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication":"Journal of Lie Theory","author":[{"full_name":"Glöckner, Helge","first_name":"Helge","id":"178","last_name":"Glöckner"},{"last_name":"Tárrega","full_name":"Tárrega, Luis","first_name":"Luis"}],"publisher":"Heldermann","date_created":"2022-12-22T07:23:57Z","status":"public","volume":33,"intvolume":" 33","_id":"34801","date_updated":"2024-03-22T16:07:34Z","issue":"1","language":[{"iso":"eng"}],"page":"271-296","citation":{"ieee":"H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ,” Journal of Lie Theory, vol. 33, no. 1, pp. 271–296, 2023.","short":"H. Glöckner, L. Tárrega, Journal of Lie Theory 33 (2023) 271–296.","mla":"Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory, vol. 33, no. 1, Heldermann, 2023, pp. 271–96.","bibtex":"@article{Glöckner_Tárrega_2023, title={Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups }, volume={33}, number={1}, journal={Journal of Lie Theory}, publisher={Heldermann}, author={Glöckner, Helge and Tárrega, Luis}, year={2023}, pages={271–296} }","apa":"Glöckner, H., & Tárrega, L. (2023). Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory, 33(1), 271–296.","ama":"Glöckner H, Tárrega L. Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory. 2023;33(1):271-296.","chicago":"Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory 33, no. 1 (2023): 271–96."},"year":"2023","type":"journal_article"},{"_id":"45191","date_updated":"2024-03-25T09:07:55Z","doi":"10.1007/978-3-031-26104-6","language":[{"iso":"eng"}],"year":"2023","citation":{"ieee":"I. Gräßler, G. W. Maier, E. Steffen, and D. Roesmann, Eds., The Digital Twin of Humans. Cham: Springer International Publishing, 2023.","short":"I. Gräßler, G.W. Maier, E. Steffen, D. Roesmann, eds., The Digital Twin of Humans, Springer International Publishing, Cham, 2023.","bibtex":"@book{Gräßler_Maier_Steffen_Roesmann_2023, place={Cham}, title={The Digital Twin of Humans}, DOI={10.1007/978-3-031-26104-6}, publisher={Springer International Publishing}, year={2023} }","mla":"Gräßler, Iris, et al., editors. The Digital Twin of Humans. Springer International Publishing, 2023, doi:10.1007/978-3-031-26104-6.","apa":"Gräßler, I., Maier, G. W., Steffen, E., & Roesmann, D. (Eds.). (2023). The Digital Twin of Humans. Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6","ama":"Gräßler I, Maier GW, Steffen E, Roesmann D, eds. The Digital Twin of Humans. Springer International Publishing; 2023. doi:10.1007/978-3-031-26104-6","chicago":"Gräßler, Iris, Günter W. Maier, Eckhard Steffen, and Daniel Roesmann, eds. The Digital Twin of Humans. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-26104-6."},"type":"book_editor","place":"Cham","user_id":"5905","title":"The Digital Twin of Humans","quality_controlled":"1","publisher":"Springer International Publishing","department":[{"_id":"542"},{"_id":"152"}],"status":"public","date_created":"2023-05-22T10:24:10Z","editor":[{"full_name":"Gräßler, Iris","orcid":"0000-0001-5765-971X","first_name":"Iris","id":"47565","last_name":"Gräßler"},{"last_name":"Maier","full_name":"Maier, Günter W.","first_name":"Günter W."},{"id":"15548","last_name":"Steffen","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","first_name":"Eckhard"},{"full_name":"Roesmann, Daniel","first_name":"Daniel","id":"54680","last_name":"Roesmann"}],"alternative_title":["An Interdisciplinary Concept of Digital Working Environments in Industry 4.0"],"publication_identifier":{"isbn":["9783031261039","9783031261046"]},"publication_status":"published"},{"language":[{"iso":"eng"}],"year":"2023","citation":{"ieee":"H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds, “Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland,” International Journal of Mathematical Education in Science and Technology, pp. 1–26, 2023, doi: 10.1080/0020739x.2023.2184282.","short":"H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International Journal of Mathematical Education in Science and Technology (2023) 1–26.","bibtex":"@article{Gilbert_Schürmann_Liebendörfer_Lawson_Hodds_2023, title={Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland}, DOI={10.1080/0020739x.2023.2184282}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Gilbert, H. and Schürmann, M. and Liebendörfer, M. and Lawson, D. and Hodds, M.}, year={2023}, pages={1–26} }","mla":"Gilbert, H., et al. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain & Ireland.” International Journal of Mathematical Education in Science and Technology, Informa UK Limited, 2023, pp. 1–26, doi:10.1080/0020739x.2023.2184282.","chicago":"Gilbert, H., M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain & Ireland.” International Journal of Mathematical Education in Science and Technology, 2023, 1–26. https://doi.org/10.1080/0020739x.2023.2184282.","ama":"Gilbert H, Schürmann M, Liebendörfer M, Lawson D, Hodds M. Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland. International Journal of Mathematical Education in Science and Technology. Published online 2023:1-26. doi:10.1080/0020739x.2023.2184282","apa":"Gilbert, H., Schürmann, M., Liebendörfer, M., Lawson, D., & Hodds, M. (2023). Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland. International Journal of Mathematical Education in Science and Technology, 1–26. https://doi.org/10.1080/0020739x.2023.2184282"},"type":"journal_article","page":"1-26","_id":"52806","date_updated":"2024-03-25T10:09:21Z","doi":"10.1080/0020739x.2023.2184282","author":[{"last_name":"Gilbert","full_name":"Gilbert, H.","first_name":"H."},{"last_name":"Schürmann","full_name":"Schürmann, M.","first_name":"M."},{"last_name":"Liebendörfer","full_name":"Liebendörfer, M.","first_name":"M."},{"full_name":"Lawson, D.","first_name":"D.","last_name":"Lawson"},{"last_name":"Hodds","first_name":"M.","full_name":"Hodds, M."}],"publisher":"Informa UK Limited","publication":"International Journal of Mathematical Education in Science and Technology","keyword":["Applied Mathematics","Education","Mathematics (miscellaneous)"],"department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"status":"public","date_created":"2024-03-25T10:02:09Z","publication_identifier":{"issn":["0020-739X","1464-5211"]},"publication_status":"published","user_id":"30933","title":"Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland"},{"year":"2023","type":"book_chapter","citation":{"short":"R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, S. Schlüter, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 407–410.","ieee":"R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, and S. Schlüter, “Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 1, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 407–410.","ama":"Biehler R, Guntermann D, Liebendörfer M, Krämer S, Schlüter S. Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 1. WTM; 2023:407–410. doi:10.37626/GA9783959872089.0","apa":"Biehler, R., Guntermann, D., Liebendörfer, M., Krämer, S., & Schlüter, S. (2023). Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 1, pp. 407–410). WTM. https://doi.org/10.37626/GA9783959872089.0","chicago":"Biehler, Rolf, Dominik Guntermann, Michael Liebendörfer, Sandra Krämer, and Sarah Schlüter. “Fachdidaktisches Design von Begründungsvideos Im Projekt StudiVEMINTvideos.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 1:407–410. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.","bibtex":"@inbook{Biehler_Guntermann_Liebendörfer_Krämer_Schlüter_2023, place={Münster}, title={Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos}, volume={1}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Biehler, Rolf and Guntermann, Dominik and Liebendörfer, Michael and Krämer, Sandra and Schlüter, Sarah}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={407–410} }","mla":"Biehler, Rolf, et al. “Fachdidaktisches Design von Begründungsvideos Im Projekt StudiVEMINTvideos.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 1, WTM, 2023, pp. 407–410, doi:10.37626/GA9783959872089.0."},"page":"407–410","intvolume":" 1","_id":"52811","date_updated":"2024-03-25T10:09:41Z","doi":"10.37626/GA9783959872089.0","publisher":"WTM","author":[{"full_name":"Biehler, Rolf","first_name":"Rolf","last_name":"Biehler"},{"full_name":"Guntermann, Dominik","first_name":"Dominik","last_name":"Guntermann"},{"full_name":"Liebendörfer, Michael","first_name":"Michael","last_name":"Liebendörfer"},{"last_name":"Krämer","first_name":"Sandra","full_name":"Krämer, Sandra"},{"last_name":"Schlüter","full_name":"Schlüter, Sarah","first_name":"Sarah"}],"publication":"Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"status":"public","date_created":"2024-03-25T10:06:08Z","editor":[{"first_name":"IDMI-Primar","full_name":"Goethe-Universität Frankfur, IDMI-Primar","last_name":"Goethe-Universität Frankfur"}],"publication_identifier":{"isbn":["978-3-95987-208-9"]},"volume":1,"place":"Münster","user_id":"30933","title":"Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos"},{"_id":"52810","date_updated":"2024-03-25T10:09:46Z","page":"66–80","type":"book_chapter","year":"2023","citation":{"short":"R. Göller, L. Gildehaus, M. Liebendörfer, M. Besser, in: J. Härterich, M. Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, WTM, Münster, 2023, pp. 66–80.","ieee":"R. Göller, L. Gildehaus, M. Liebendörfer, and M. Besser, “Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge,” in Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster: WTM, 2023, pp. 66–80.","chicago":"Göller, Robin, Lara Gildehaus, Michael Liebendörfer, and Michael Besser. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” In Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka, and Thomas Skill, 66–80. Münster: WTM, 2023.","apa":"Göller, R., Gildehaus, L., Liebendörfer, M., & Besser, M. (2023). Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge. In J. Härterich, M. Kallweit, K. Rolka, & T. Skill (Eds.), Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum (pp. 66–80). WTM.","ama":"Göller R, Gildehaus L, Liebendörfer M, Besser M. Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum. WTM; 2023:66–80.","bibtex":"@inbook{Göller_Gildehaus_Liebendörfer_Besser_2023, place={Münster}, title={Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum}, publisher={WTM}, author={Göller, Robin and Gildehaus, Lara and Liebendörfer, Michael and Besser, Michael}, editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={66–80} }","mla":"Göller, Robin, et al. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich et al., WTM, 2023, pp. 66–80."},"title":"Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge","user_id":"30933","place":"Münster","publication_identifier":{"isbn":["978-3-95987-264-5"]},"editor":[{"last_name":"Härterich","full_name":"Härterich, Jörg","first_name":"Jörg"},{"full_name":"Kallweit, Michael","first_name":"Michael","last_name":"Kallweit"},{"last_name":"Rolka","full_name":"Rolka, Katrin","first_name":"Katrin"},{"last_name":"Skill","first_name":"Thomas","full_name":"Skill, Thomas"}],"date_created":"2024-03-25T10:05:57Z","status":"public","publication":"Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"publisher":"WTM","author":[{"first_name":"Robin","full_name":"Göller, Robin","last_name":"Göller"},{"first_name":"Lara","full_name":"Gildehaus, Lara","last_name":"Gildehaus"},{"last_name":"Liebendörfer","first_name":"Michael","full_name":"Liebendörfer, Michael"},{"last_name":"Besser","full_name":"Besser, Michael","first_name":"Michael"}]},{"place":"Münster","user_id":"30933","title":"Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"publication":"Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum","author":[{"full_name":"Kempen, Leander","first_name":"Leander","last_name":"Kempen"},{"last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","first_name":"Michael"}],"publisher":"WTM","date_created":"2024-03-25T10:05:42Z","status":"public","publication_identifier":{"isbn":["978-3-95987-264-5"]},"editor":[{"last_name":"Härterich","full_name":"Härterich, Jörg","first_name":"Jörg"},{"full_name":"Kallweit, Michael","first_name":"Michael","last_name":"Kallweit"},{"last_name":"Rolka","first_name":"Katrin","full_name":"Rolka, Katrin"},{"first_name":"Thomas","full_name":"Skill, Thomas","last_name":"Skill"}],"_id":"52809","date_updated":"2024-03-25T10:09:51Z","page":"91–106","type":"book_chapter","citation":{"ama":"Kempen L, Liebendörfer M. Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum. WTM; 2023:91–106.","apa":"Kempen, L., & Liebendörfer, M. (2023). Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie. In J. Härterich, M. Kallweit, K. Rolka, & T. Skill (Eds.), Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum (pp. 91–106). WTM.","chicago":"Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden Der Mathematik Während Der Corona-Pandemie.” In Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka, and Thomas Skill, 91–106. Münster: WTM, 2023.","bibtex":"@inbook{Kempen_Liebendörfer_2023, place={Münster}, title={Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum}, publisher={WTM}, author={Kempen, Leander and Liebendörfer, Michael}, editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={91–106} }","mla":"Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden Der Mathematik Während Der Corona-Pandemie.” Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich et al., WTM, 2023, pp. 91–106.","short":"L. Kempen, M. Liebendörfer, in: J. Härterich, M. Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, WTM, Münster, 2023, pp. 91–106.","ieee":"L. Kempen and M. Liebendörfer, “Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie,” in Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster: WTM, 2023, pp. 91–106."},"year":"2023"},{"page":"1177–1180","year":"2023","citation":{"ieee":"S. Schlüter and M. Liebendörfer, “Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 1177–1180.","short":"S. Schlüter, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 1177–1180.","mla":"Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 1177–1180, doi:10.37626/GA9783959872089.0.","bibtex":"@inbook{Schlüter_Liebendörfer_2023, place={Münster}, title={Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen}, volume={2}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Schlüter, Sarah and Liebendörfer, Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={1177–1180} }","ama":"Schlüter S, Liebendörfer M. Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 2. WTM; 2023:1177–1180. doi:10.37626/GA9783959872089.0","apa":"Schlüter, S., & Liebendörfer, M. (2023). Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 2, pp. 1177–1180). WTM. https://doi.org/10.37626/GA9783959872089.0","chicago":"Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 2:1177–1180. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0."},"type":"book_chapter","_id":"52813","date_updated":"2024-03-25T10:09:27Z","intvolume":" 2","doi":"10.37626/GA9783959872089.0","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"publication":"Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","author":[{"full_name":"Schlüter, Sarah","first_name":"Sarah","last_name":"Schlüter"},{"last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","first_name":"Michael"}],"publisher":"WTM","date_created":"2024-03-25T10:06:24Z","status":"public","publication_identifier":{"isbn":["978-3-95987-208-9"]},"volume":2,"editor":[{"first_name":"IDMI-Primar","full_name":"Goethe-Universität Frankfur, IDMI-Primar","last_name":"Goethe-Universität Frankfur"}],"place":"Münster","user_id":"30933","title":"Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen"},{"_id":"52812","date_updated":"2024-03-25T10:09:35Z","intvolume":" 2","doi":"10.37626/GA9783959872089.0","page":"949–952","year":"2023","type":"book_chapter","citation":{"short":"S. Krämer, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 949–952.","ieee":"S. Krämer and M. Liebendörfer, “Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 949–952.","chicago":"Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität Durch Lernvideos Mit Interaktiven Aufgaben.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 2:949–952. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.","apa":"Krämer, S., & Liebendörfer, M. (2023). Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 2, pp. 949–952). WTM. https://doi.org/10.37626/GA9783959872089.0","ama":"Krämer S, Liebendörfer M. Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 2. WTM; 2023:949–952. doi:10.37626/GA9783959872089.0","mla":"Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität Durch Lernvideos Mit Interaktiven Aufgaben.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 949–952, doi:10.37626/GA9783959872089.0.","bibtex":"@inbook{Krämer_Liebendörfer_2023, place={Münster}, title={Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben}, volume={2}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Krämer, Sandra and Liebendörfer, Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={949–952} }"},"place":"Münster","title":"Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben","user_id":"30933","publication":"Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"author":[{"last_name":"Krämer","full_name":"Krämer, Sandra","first_name":"Sandra"},{"last_name":"Liebendörfer","first_name":"Michael","full_name":"Liebendörfer, Michael"}],"publisher":"WTM","publication_identifier":{"isbn":["978-3-95987-208-9"]},"volume":2,"editor":[{"first_name":"IDMI-Primar","full_name":"Goethe-Universität Frankfur, IDMI-Primar","last_name":"Goethe-Universität Frankfur"}],"date_created":"2024-03-25T10:06:16Z","status":"public"},{"_id":"52807","date_updated":"2024-03-25T10:10:11Z","doi":"10.48489/QUADRANTE.31191","language":[{"iso":"en"}],"type":"journal_article","citation":{"apa":"Preservice teachers’ mathematics-related values and expectancy in the transition from school to university. (2023). https://doi.org/10.48489/QUADRANTE.31191","ama":"Preservice teachers’ mathematics-related values and expectancy in the transition from school to university. Published online 2023. doi:10.48489/QUADRANTE.31191","chicago":"“Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition from School to University,” 2023. https://doi.org/10.48489/QUADRANTE.31191.","mla":"Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition from School to University. 2023, doi:10.48489/QUADRANTE.31191.","bibtex":"@article{Preservice teachers’ mathematics-related values and expectancy in the transition from school to university_2023, DOI={10.48489/QUADRANTE.31191}, year={2023} }","short":"(2023).","ieee":"“Preservice teachers’ mathematics-related values and expectancy in the transition from school to university,” 2023, doi: 10.48489/QUADRANTE.31191."},"year":"2023","abstract":[{"text":"Many preservice mathematics teachers lose their motivation during their first year at university. This phenomenon has been repeatedly described in recent years but is not yet fully understood. Since motivation may relate to different objects such as mathematics or teaching, we aim to qualitatively reconstruct different facets of the central motivational constructs of Situated-Expectancy-Value theory (intrinsic value, attainment value, utility value, cost, and expectancy of success) for preservice mathematics teachers. The analysis of longitudinal group interviews of 14 preservice higher-secondary mathematic teachers from a German university revealed different objects of motivation (e.g., teaching mathematics, scientific mathematics, procedural mathematics, or proof-based mathematics) in preservice teachers' values and expectancy of success. Furthermore, relations between those values and expectancy of success were identified that played a significant role in preservice teachers’ motivational development over their first semester (e.g., relations of attainment value for scientific mathematics and psychological cost). Theoretical and practical implications towards a teaching-specific conceptualization of expectancy of success and values and value interventions are being discussed.","lang":"eng"}],"user_id":"30933","title":"Preservice teachers’ mathematics-related values and expectancy in the transition from school to university","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"status":"public","date_created":"2024-03-25T10:02:25Z"},{"publication":"Non-Smooth and Complementarity-Based Distributed Parameter Systems","author":[{"last_name":"Banholzer","first_name":"Stefan","full_name":"Banholzer, Stefan"},{"id":"32643","last_name":"Gebken","full_name":"Gebken, Bennet","first_name":"Bennet"},{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"},{"first_name":"Sebastian","full_name":"Peitz, Sebastian","orcid":"https://orcid.org/0000-0002-3389-793X","last_name":"Peitz","id":"47427"},{"full_name":"Volkwein, Stefan","first_name":"Stefan","last_name":"Volkwein"}],"publisher":"Springer","date_created":"2020-03-13T12:45:31Z","status":"public","abstract":[{"text":"Multiobjective optimization plays an increasingly important role in modern\r\napplications, where several objectives are often of equal importance. The task\r\nin multiobjective optimization and multiobjective optimal control is therefore\r\nto compute the set of optimal compromises (the Pareto set) between the\r\nconflicting objectives. Since the Pareto set generally consists of an infinite\r\nnumber of solutions, the computational effort can quickly become challenging\r\nwhich is particularly problematic when the objectives are costly to evaluate as\r\nis the case for models governed by partial differential equations (PDEs). To\r\ndecrease the numerical effort to an affordable amount, surrogate models can be\r\nused to replace the expensive PDE evaluations. Existing multiobjective\r\noptimization methods using model reduction are limited either to low parameter\r\ndimensions or to few (ideally two) objectives. In this article, we present a\r\ncombination of the reduced basis model reduction method with a continuation\r\napproach using inexact gradients. The resulting approach can handle an\r\narbitrary number of objectives while yielding a significant reduction in\r\ncomputing time.","lang":"eng"}],"user_id":"47427","main_file_link":[{"url":"https://arxiv.org/pdf/1906.09075.pdf","open_access":"1"}],"page":"43-76","type":"book_chapter","citation":{"short":"S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael, H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.","ieee":"S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,” in Non-Smooth and Complementarity-Based Distributed Parameter Systems, H. Michael, H. Roland, K. Christian, U. Michael, and U. Stefan, Eds. Cham: Springer, 2022, pp. 43–76.","apa":"Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., & Volkwein, S. (2022). ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In H. Michael, H. Roland, K. Christian, U. Michael, & U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems (pp. 43–76). Springer. https://doi.org/10.1007/978-3-030-79393-7_3","ama":"Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In: Michael H, Roland H, Christian K, Michael U, Stefan U, eds. Non-Smooth and Complementarity-Based Distributed Parameter Systems. Springer; 2022:43-76. doi:10.1007/978-3-030-79393-7_3","chicago":"Banholzer, Stefan, Bennet Gebken, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” In Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael, Herzog Roland, Kanzow Christian, Ulbrich Michael, and Ulbrich Stefan, 43–76. Cham: Springer, 2022. https://doi.org/10.1007/978-3-030-79393-7_3.","mla":"Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael et al., Springer, 2022, pp. 43–76, doi:10.1007/978-3-030-79393-7_3.","bibtex":"@inbook{Banholzer_Gebken_Dellnitz_Peitz_Volkwein_2022, place={Cham}, title={ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation}, DOI={10.1007/978-3-030-79393-7_3}, booktitle={Non-Smooth and Complementarity-Based Distributed Parameter Systems}, publisher={Springer}, author={Banholzer, Stefan and Gebken, Bennet and Dellnitz, Michael and Peitz, Sebastian and Volkwein, Stefan}, editor={Michael, Hintermüller and Roland, Herzog and Christian, Kanzow and Michael, Ulbrich and Stefan, Ulbrich}, year={2022}, pages={43–76} }"},"year":"2022","_id":"16296","department":[{"_id":"101"},{"_id":"655"}],"publication_identifier":{"isbn":["978-3-030-79392-0"]},"editor":[{"first_name":"Hintermüller","full_name":"Michael, Hintermüller","last_name":"Michael"},{"full_name":"Roland, Herzog","first_name":"Herzog","last_name":"Roland"},{"last_name":"Christian","full_name":"Christian, Kanzow","first_name":"Kanzow"},{"first_name":"Ulbrich","full_name":"Michael, Ulbrich","last_name":"Michael"},{"last_name":"Stefan","full_name":"Stefan, Ulbrich","first_name":"Ulbrich"}],"place":"Cham","title":"ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation","language":[{"iso":"eng"}],"date_updated":"2022-03-14T13:04:51Z","oa":"1","doi":"10.1007/978-3-030-79393-7_3"},{"citation":{"mla":"Peitz, Sebastian, et al. “Efficient Virtual Design and Testing of Autonomous Vehicles.” German Success Stories in Industrial Mathematics, edited by H. G. Bock et al., vol. 35, Springer International Publishing, 2022, doi:10.1007/978-3-030-81455-7_23.","bibtex":"@inbook{Peitz_Dellnitz_Bannenberg_2022, place={Cham}, series={Mathematics in Industry}, title={Efficient Virtual Design and Testing of Autonomous Vehicles}, volume={35}, DOI={10.1007/978-3-030-81455-7_23}, booktitle={German Success Stories in Industrial Mathematics}, publisher={Springer International Publishing}, author={Peitz, Sebastian and Dellnitz, Michael and Bannenberg, Sebastian}, editor={Bock, H. G. and Küfer, K.-H. and Maas, P. and Milde, A. and Schulz, V.}, year={2022}, collection={Mathematics in Industry} }","chicago":"Peitz, Sebastian, Michael Dellnitz, and Sebastian Bannenberg. “Efficient Virtual Design and Testing of Autonomous Vehicles.” In German Success Stories in Industrial Mathematics, edited by H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Vol. 35. Mathematics in Industry. Cham: Springer International Publishing, 2022. https://doi.org/10.1007/978-3-030-81455-7_23.","apa":"Peitz, S., Dellnitz, M., & Bannenberg, S. (2022). Efficient Virtual Design and Testing of Autonomous Vehicles. In H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, & V. Schulz (Eds.), German Success Stories in Industrial Mathematics (Vol. 35). Springer International Publishing. https://doi.org/10.1007/978-3-030-81455-7_23","ama":"Peitz S, Dellnitz M, Bannenberg S. Efficient Virtual Design and Testing of Autonomous Vehicles. In: Bock HG, Küfer K-H, Maas P, Milde A, Schulz V, eds. German Success Stories in Industrial Mathematics. Vol 35. Mathematics in Industry. Springer International Publishing; 2022. doi:10.1007/978-3-030-81455-7_23","ieee":"S. Peitz, M. Dellnitz, and S. Bannenberg, “Efficient Virtual Design and Testing of Autonomous Vehicles,” in German Success Stories in Industrial Mathematics, vol. 35, H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Eds. Cham: Springer International Publishing, 2022.","short":"S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022."},"year":"2022","type":"book_chapter","intvolume":" 35","_id":"30294","volume":35,"status":"public","date_created":"2022-03-14T07:32:41Z","publisher":"Springer International Publishing","author":[{"first_name":"Sebastian","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","last_name":"Peitz","id":"47427"},{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"},{"last_name":"Bannenberg","first_name":"Sebastian","full_name":"Bannenberg, Sebastian"}],"publication":"German Success Stories in Industrial Mathematics","user_id":"47427","abstract":[{"text":"With the ever increasing capabilities of sensors and controllers, autonomous driving is quickly becoming a reality. This disruptive change in the automotive industry poses major challenges for manufacturers as well as suppliers as entirely new design and testing strategies have to be developed to remain competitive. Most importantly, the complexity of autonomously driving vehicles in a complex, uncertain, and safety-critical environment requires new testing procedures to cover the almost infinite range of potential scenarios.","lang":"eng"}],"language":[{"iso":"eng"}],"series_title":"Mathematics in Industry","doi":"10.1007/978-3-030-81455-7_23","date_updated":"2022-03-14T07:42:01Z","editor":[{"last_name":"Bock","first_name":"H. G.","full_name":"Bock, H. G."},{"last_name":"Küfer","first_name":"K.-H.","full_name":"Küfer, K.-H."},{"last_name":"Maas","full_name":"Maas, P.","first_name":"P."},{"last_name":"Milde","first_name":"A.","full_name":"Milde, A."},{"last_name":"Schulz","full_name":"Schulz, V.","first_name":"V."}],"publication_status":"published","publication_identifier":{"issn":["1612-3956","2198-3283"],"isbn":["9783030814540","9783030814557"]},"department":[{"_id":"101"},{"_id":"655"}],"title":"Efficient Virtual Design and Testing of Autonomous Vehicles","place":"Cham"},{"date_created":"2022-03-24T12:26:10Z","status":"public","volume":"14(1)","publication":"AIMS","department":[{"_id":"636"}],"author":[{"first_name":"Jacky","full_name":"Cresson, Jacky","last_name":"Cresson"},{"last_name":"Jiménez","full_name":"Jiménez, Fernando","first_name":"Fernando"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","id":"16494"}],"user_id":"15694","title":"Continuous and discrete Noether's fractional conserved quantities for restricted calculus of variations","language":[{"iso":"eng"}],"page":"57-89","type":"journal_article","citation":{"ama":"Cresson J, Jiménez F, Ober-Blöbaum S. Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations. AIMS. 2022;14(1):57-89.","apa":"Cresson, J., Jiménez, F., & Ober-Blöbaum, S. (2022). Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations. AIMS, 14(1), 57–89.","short":"J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89.","chicago":"Cresson, Jacky, Fernando Jiménez, and Sina Ober-Blöbaum. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS 14(1) (2022): 57–89.","ieee":"J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations,” AIMS, vol. 14(1), pp. 57–89, 2022.","mla":"Cresson, Jacky, et al. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS, vol. 14(1), 2022, pp. 57–89.","bibtex":"@article{Cresson_Jiménez_Ober-Blöbaum_2022, title={Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations}, volume={14(1)}, journal={AIMS}, author={Cresson, Jacky and Jiménez, Fernando and Ober-Blöbaum, Sina}, year={2022}, pages={57–89} }"},"year":"2022","date_updated":"2022-03-24T12:26:32Z","_id":"30490"},{"user_id":"87909","title":"Turnpike Property in Optimal Microbial Metabolite Production","abstract":[{"lang":"eng","text":"AbstractWe consider the problem of maximization of metabolite production in bacterial cells formulated as a dynamical optimal control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions are concatenations of singular and bang arcs and exhibit the chattering or Fuller phenomenon, which is problematic for applications. To avoid chattering, we introduce a reduced model which is still biologically relevant and retains the important structural features of the original problem. Using a combination of analytical and numerical methods, we show that the singular arc is dominant in the studied DOCPs and exhibits the turnpike property. This property is further used in order to design simple and realistic suboptimal control strategies."}],"status":"public","date_created":"2022-04-08T17:23:13Z","publication_status":"published","publication_identifier":{"issn":["0022-3239","1573-2878"]},"author":[{"last_name":"Caillau","full_name":"Caillau, Jean-Baptiste","first_name":"Jean-Baptiste"},{"last_name":"Djema","first_name":"Walid","full_name":"Djema, Walid"},{"last_name":"Gouzé","full_name":"Gouzé, Jean-Luc","first_name":"Jean-Luc"},{"last_name":"Maslovskaya","id":"87909","first_name":"Sofya","full_name":"Maslovskaya, Sofya"},{"last_name":"Pomet","full_name":"Pomet, Jean-Baptiste","first_name":"Jean-Baptiste"}],"publisher":"Springer Science and Business Media LLC","keyword":["Applied Mathematics","Management Science and Operations Research","Control and Optimization"],"department":[{"_id":"636"}],"publication":"Journal of Optimization Theory and Applications","doi":"10.1007/s10957-022-02023-0","date_updated":"2022-04-08T18:23:02Z","_id":"30861","language":[{"iso":"eng"}],"year":"2022","type":"journal_article","citation":{"chicago":"Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya, and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, 2022. https://doi.org/10.1007/s10957-022-02023-0.","ama":"Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. Published online 2022. doi:10.1007/s10957-022-02023-0","apa":"Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., & Pomet, J.-B. (2022). Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-022-02023-0","mla":"Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, Springer Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0.","bibtex":"@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property in Optimal Microbial Metabolite Production}, DOI={10.1007/s10957-022-02023-0}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022} }","short":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).","ieee":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,” Journal of Optimization Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0."}},{"intvolume":" 229","_id":"31982","issue":"1","page":"303-394","citation":{"ama":"Cekić M, Delarue B, Dyatlov S, Paternain GP. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Inventiones mathematicae. 2022;229(1):303-394. doi:10.1007/s00222-022-01108-x","apa":"Cekić, M., Delarue, B., Dyatlov, S., & Paternain, G. P. (2022). The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Inventiones Mathematicae, 229(1), 303–394. https://doi.org/10.1007/s00222-022-01108-x","chicago":"Cekić, Mihajlo, Benjamin Delarue, Semyon Dyatlov, and Gabriel P. Paternain. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” Inventiones Mathematicae 229, no. 1 (2022): 303–94. https://doi.org/10.1007/s00222-022-01108-x.","bibtex":"@article{Cekić_Delarue_Dyatlov_Paternain_2022, title={The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds}, volume={229}, DOI={10.1007/s00222-022-01108-x}, number={1}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Cekić, Mihajlo and Delarue, Benjamin and Dyatlov, Semyon and Paternain, Gabriel P.}, year={2022}, pages={303–394} }","mla":"Cekić, Mihajlo, et al. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” Inventiones Mathematicae, vol. 229, no. 1, Springer Science and Business Media LLC, 2022, pp. 303–94, doi:10.1007/s00222-022-01108-x.","short":"M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae 229 (2022) 303–394.","ieee":"M. Cekić, B. Delarue, S. Dyatlov, and G. P. Paternain, “The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds,” Inventiones mathematicae, vol. 229, no. 1, pp. 303–394, 2022, doi: 10.1007/s00222-022-01108-x."},"year":"2022","type":"journal_article","abstract":[{"text":"AbstractWe show that for a generic conformal metric perturbation of a compact hyperbolic 3-manifold $$\\Sigma $$\r\n Σ\r\n with Betti number $$b_1$$\r\n \r\n b\r\n 1\r\n \r\n , the order of vanishing of the Ruelle zeta function at zero equals $$4-b_1$$\r\n \r\n 4\r\n -\r\n \r\n b\r\n 1\r\n \r\n \r\n , while in the hyperbolic case it is equal to $$4-2b_1$$\r\n \r\n 4\r\n -\r\n 2\r\n \r\n b\r\n 1\r\n \r\n \r\n . This is in contrast to the 2-dimensional case where the order of vanishing is a topological invariant. The proof uses the microlocal approach to dynamical zeta functions, giving a geometric description of generalized Pollicott–Ruelle resonant differential forms at 0 in the hyperbolic case and using first variation for the perturbation. To show that the first variation is generically nonzero we introduce a new identity relating pushforwards of products of resonant and coresonant 2-forms on the sphere bundle $$S\\Sigma $$\r\n \r\n S\r\n Σ\r\n \r\n with harmonic 1-forms on $$\\Sigma $$\r\n Σ\r\n .","lang":"eng"}],"user_id":"70575","keyword":["General Mathematics"],"publication":"Inventiones mathematicae","publisher":"Springer Science and Business Media LLC","author":[{"full_name":"Cekić, Mihajlo","first_name":"Mihajlo","last_name":"Cekić"},{"first_name":"Benjamin","full_name":"Delarue, Benjamin","last_name":"Delarue","id":"70575"},{"first_name":"Semyon","full_name":"Dyatlov, Semyon","last_name":"Dyatlov"},{"last_name":"Paternain","first_name":"Gabriel P.","full_name":"Paternain, Gabriel P."}],"volume":229,"date_created":"2022-06-20T08:24:17Z","status":"public","date_updated":"2022-06-21T11:55:15Z","doi":"10.1007/s00222-022-01108-x","language":[{"iso":"eng"}],"title":"The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds","department":[{"_id":"548"}],"publication_status":"published","publication_identifier":{"issn":["0020-9910","1432-1297"]}},{"page":"200-215","type":"book_chapter","year":"2022","citation":{"chicago":"Häsel-Weide, Uta, Melina Wallner, and M. Hattermann. “Symmetrieverständnis von Anfang an.” In Anfangsunterricht für alle Kinder - Willkommen in der Schule!, edited by M. Gutzmann, U. Carle, and Grundschulverband e. V., 200–215. Frankfurt a. M., 2022.","apa":"Häsel-Weide, U., Wallner, M., & Hattermann, M. (2022). Symmetrieverständnis von Anfang an. In M. Gutzmann, U. Carle, & Grundschulverband e. V. (Eds.), Anfangsunterricht für alle Kinder - Willkommen in der Schule! (pp. 200–215).","short":"U. Häsel-Weide, M. Wallner, M. Hattermann, in: M. Gutzmann, U. Carle, Grundschulverband e. V. (Eds.), Anfangsunterricht für alle Kinder - Willkommen in der Schule!, Frankfurt a. M., 2022, pp. 200–215.","ama":"Häsel-Weide U, Wallner M, Hattermann M. Symmetrieverständnis von Anfang an. In: Gutzmann M, Carle U, Grundschulverband e. V., eds. Anfangsunterricht für alle Kinder - Willkommen in der Schule!. ; 2022:200-215.","mla":"Häsel-Weide, Uta, et al. “Symmetrieverständnis von Anfang an.” Anfangsunterricht für alle Kinder - Willkommen in der Schule!, edited by M. Gutzmann et al., 2022, pp. 200–15.","bibtex":"@inbook{Häsel-Weide_Wallner_Hattermann_2022, place={Frankfurt a. M.}, title={Symmetrieverständnis von Anfang an}, booktitle={Anfangsunterricht für alle Kinder - Willkommen in der Schule!}, author={Häsel-Weide, Uta and Wallner, Melina and Hattermann, M.}, editor={Gutzmann, M. and Carle, U. and Grundschulverband e. V.}, year={2022}, pages={200–215} }","ieee":"U. Häsel-Weide, M. Wallner, and M. Hattermann, “Symmetrieverständnis von Anfang an,” in Anfangsunterricht für alle Kinder - Willkommen in der Schule!, M. Gutzmann, U. Carle, and Grundschulverband e. V., Eds. Frankfurt a. M., 2022, pp. 200–215."},"language":[{"iso":"ger"}],"corporate_editor":["Grundschulverband e. V."],"date_updated":"2022-07-05T06:48:40Z","_id":"32233","publication_status":"published","editor":[{"full_name":"Gutzmann, M.","first_name":"M.","last_name":"Gutzmann"},{"full_name":"Carle, U.","first_name":"U.","last_name":"Carle"}],"date_created":"2022-06-28T06:30:12Z","status":"public","publication":"Anfangsunterricht für alle Kinder - Willkommen in der Schule!","department":[{"_id":"98"},{"_id":"543"}],"author":[{"full_name":"Häsel-Weide, Uta","first_name":"Uta","id":"60267","last_name":"Häsel-Weide"},{"first_name":"Melina","full_name":"Wallner, Melina","last_name":"Wallner","id":"45445"},{"last_name":"Hattermann","first_name":"M.","full_name":"Hattermann, M."}],"title":"Symmetrieverständnis von Anfang an","user_id":"45445","place":"Frankfurt a. M."},{"publication_status":"published","editor":[{"full_name":"Lutz, D.","first_name":"D.","last_name":"Lutz"},{"first_name":"J.","full_name":"Becker, J.","last_name":"Becker"},{"last_name":"Buchhaupt","first_name":"F.","full_name":"Buchhaupt, F."},{"first_name":"D.","full_name":"Katzenbach, D.","last_name":"Katzenbach"},{"first_name":"A.","full_name":"Strecker, A.","last_name":"Strecker"},{"first_name":"M.","full_name":"Urban, M.","last_name":"Urban"}],"date_created":"2022-07-11T05:31:28Z","status":"public","publication":"Qualifizierung für Inklusion. Sekundarstufe","department":[{"_id":"98"},{"_id":"543"}],"author":[{"full_name":"Häsel-Weide, Uta","first_name":"Uta","id":"60267","last_name":"Häsel-Weide"},{"first_name":"S.","full_name":"Seitz, S.","last_name":"Seitz"},{"last_name":"Wallner","id":"45445","first_name":"Melina","full_name":"Wallner, Melina"},{"first_name":"Y.","full_name":"Wilke, Y.","last_name":"Wilke"}],"publisher":"Waxmann","title":"Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe","user_id":"85821","place":"Münster","page":"83-100","type":"book_chapter","year":"2022","citation":{"mla":"Häsel-Weide, Uta, et al. “Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe.” Qualifizierung für Inklusion. Sekundarstufe, edited by D. Lutz et al., Waxmann, 2022, pp. 83–100.","bibtex":"@inbook{Häsel-Weide_Seitz_Wallner_Wilke_2022, place={Münster}, title={Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe}, booktitle={Qualifizierung für Inklusion. Sekundarstufe}, publisher={Waxmann}, author={Häsel-Weide, Uta and Seitz, S. and Wallner, Melina and Wilke, Y.}, editor={Lutz, D. and Becker, J. and Buchhaupt, F. and Katzenbach, D. and Strecker, A. and Urban, M.}, year={2022}, pages={83–100} }","ieee":"U. Häsel-Weide, S. Seitz, M. Wallner, and Y. Wilke, “Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe,” in Qualifizierung für Inklusion. Sekundarstufe, D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, and M. Urban, Eds. Münster: Waxmann, 2022, pp. 83–100.","chicago":"Häsel-Weide, Uta, S. Seitz, Melina Wallner, and Y. Wilke. “Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe.” In Qualifizierung für Inklusion. Sekundarstufe, edited by D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, and M. Urban, 83–100. Münster: Waxmann, 2022.","apa":"Häsel-Weide, U., Seitz, S., Wallner, M., & Wilke, Y. (2022). Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe. In D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, & M. Urban (Eds.), Qualifizierung für Inklusion. Sekundarstufe (pp. 83–100). Waxmann.","ama":"Häsel-Weide U, Seitz S, Wallner M, Wilke Y. Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe. In: Lutz D, Becker J, Buchhaupt F, Katzenbach D, Strecker A, Urban M, eds. Qualifizierung für Inklusion. Sekundarstufe. Waxmann; 2022:83-100.","short":"U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, in: D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, M. Urban (Eds.), Qualifizierung für Inklusion. Sekundarstufe, Waxmann, Münster, 2022, pp. 83–100."},"language":[{"iso":"ger"}],"date_updated":"2022-07-11T05:31:46Z","_id":"32339"},{"title":"Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.","user_id":"85821","related_material":{"link":[{"relation":"contains","url":"https://doi.org/10.21248/qfi.72"}]},"volume":3,"publication_status":"published","status":"public","date_created":"2022-07-11T05:13:52Z","author":[{"full_name":"Hähn, K.","first_name":"K.","last_name":"Hähn"},{"id":"60267","last_name":"Häsel-Weide","full_name":"Häsel-Weide, Uta","first_name":"Uta"},{"last_name":"Scherer","first_name":"P.","full_name":"Scherer, P."}],"publication":"QfI - Qualifizierung für Inklusion","department":[{"_id":"98"},{"_id":"543"}],"issue":"2","_id":"32338","date_updated":"2022-07-11T05:31:41Z","intvolume":" 3","type":"journal_article","year":"2022","citation":{"ieee":"K. Hähn, U. Häsel-Weide, and P. Scherer, “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.,” QfI - Qualifizierung für Inklusion, vol. 3, no. 2, 2022.","short":"K. Hähn, U. Häsel-Weide, P. Scherer, QfI - Qualifizierung für Inklusion 3 (2022).","bibtex":"@article{Hähn_Häsel-Weide_Scherer_2022, title={Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.}, volume={3}, number={2}, journal={QfI - Qualifizierung für Inklusion}, author={Hähn, K. and Häsel-Weide, Uta and Scherer, P.}, year={2022} }","mla":"Hähn, K., et al. “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.” QfI - Qualifizierung für Inklusion, vol. 3, no. 2, 2022.","chicago":"Hähn, K., Uta Häsel-Weide, and P. Scherer. “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.” QfI - Qualifizierung für Inklusion 3, no. 2 (2022).","ama":"Hähn K, Häsel-Weide U, Scherer P. Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung für Inklusion. 2022;3(2).","apa":"Hähn, K., Häsel-Weide, U., & Scherer, P. (2022). Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung für Inklusion, 3(2)."},"language":[{"iso":"ger"}]},{"volume":55,"date_created":"2022-01-31T09:49:40Z","status":"public","publication":"Journal of Physics A: Mathematical and Theoretical","author":[{"full_name":"Klus, Stefan","first_name":"Stefan","last_name":"Klus"},{"last_name":"Nüske","id":"81513","first_name":"Feliks","orcid":"0000-0003-2444-7889","full_name":"Nüske, Feliks"},{"full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","first_name":"Sebastian","id":"47427","last_name":"Peitz"}],"publisher":"IOP Publishing Ltd.","user_id":"47427","abstract":[{"text":"Koopman operator theory has been successfully applied to problems from various research areas such as fluid dynamics, molecular dynamics, climate science, engineering, and biology. Applications include detecting metastable or coherent sets, coarse-graining, system identification, and control. There is an intricate connection between dynamical systems driven by stochastic differential equations and quantum mechanics. In this paper, we compare the ground-state transformation and Nelson's stochastic mechanics and demonstrate how data-driven methods developed for the approximation of the Koopman operator can be used to analyze quantum physics problems. Moreover, we exploit the relationship between Schrödinger operators and stochastic control problems to show that modern data-driven methods for stochastic control can be used to solve the stationary or imaginary-time Schrödinger equation. Our findings open up a new avenue towards solving Schrödinger's equation using recently developed tools from data science.","lang":"eng"}],"page":"314002","citation":{"ieee":"S. Klus, F. Nüske, and S. Peitz, “Koopman analysis of quantum systems,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 31, p. 314002, 2022, doi: 10.1088/1751-8121/ac7d22.","short":"S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.","bibtex":"@article{Klus_Nüske_Peitz_2022, title={Koopman analysis of quantum systems}, volume={55}, DOI={10.1088/1751-8121/ac7d22}, number={31}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing Ltd.}, author={Klus, Stefan and Nüske, Feliks and Peitz, Sebastian}, year={2022}, pages={314002} }","mla":"Klus, Stefan, et al. “Koopman Analysis of Quantum Systems.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 31, IOP Publishing Ltd., 2022, p. 314002, doi:10.1088/1751-8121/ac7d22.","ama":"Klus S, Nüske F, Peitz S. Koopman analysis of quantum systems. Journal of Physics A: Mathematical and Theoretical. 2022;55(31):314002. doi:10.1088/1751-8121/ac7d22","apa":"Klus, S., Nüske, F., & Peitz, S. (2022). Koopman analysis of quantum systems. Journal of Physics A: Mathematical and Theoretical, 55(31), 314002. https://doi.org/10.1088/1751-8121/ac7d22","chicago":"Klus, Stefan, Feliks Nüske, and Sebastian Peitz. “Koopman Analysis of Quantum Systems.” Journal of Physics A: Mathematical and Theoretical 55, no. 31 (2022): 314002. https://doi.org/10.1088/1751-8121/ac7d22."},"type":"journal_article","year":"2022","main_file_link":[{"url":"https://iopscience.iop.org/article/10.1088/1751-8121/ac7d22/pdf","open_access":"1"}],"issue":"31","_id":"29673","intvolume":" 55","publication_status":"published","department":[{"_id":"655"},{"_id":"101"}],"title":"Koopman analysis of quantum systems","external_id":{"arxiv":["2201.12062"]},"language":[{"iso":"eng"}],"doi":"10.1088/1751-8121/ac7d22","oa":"1","date_updated":"2022-07-18T14:26:41Z"},{"title":"Using second-order information in gradient sampling methods for nonsmooth optimization","user_id":"32643","external_id":{"arxiv":["2210.04579"]},"abstract":[{"lang":"eng","text":"In this article, we show how second-order derivative information can be\r\nincorporated into gradient sampling methods for nonsmooth optimization. The\r\nsecond-order information we consider is essentially the set of coefficients of\r\nall second-order Taylor expansions of the objective in a closed ball around a\r\ngiven point. Based on this concept, we define a model of the objective as the\r\nmaximum of these Taylor expansions. Iteratively minimizing this model\r\n(constrained to the closed ball) results in a simple descent method, for which\r\nwe prove convergence to minimal points in case the objective is convex. To\r\nobtain an implementable method, we construct an approximation scheme for the\r\nsecond-order information based on sampling objective values, gradients and\r\nHessian matrices at finitely many points. Using a set of test problems, we\r\ncompare the resulting method to five other available solvers. Considering the\r\nnumber of function evaluations, the results suggest that the method we propose\r\nis superior to the standard gradient sampling method, and competitive compared\r\nto other methods."}],"date_created":"2022-12-20T15:25:17Z","status":"public","department":[{"_id":"101"}],"publication":"arXiv:2210.04579","author":[{"first_name":"Bennet","full_name":"Gebken, Bennet","last_name":"Gebken","id":"32643"}],"oa":"1","date_updated":"2022-12-20T15:28:54Z","_id":"34618","type":"preprint","citation":{"chicago":"Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.","ama":"Gebken B. Using second-order information in gradient sampling methods for nonsmooth optimization. arXiv:221004579. Published online 2022.","apa":"Gebken, B. (2022). Using second-order information in gradient sampling methods for nonsmooth optimization. In arXiv:2210.04579.","bibtex":"@article{Gebken_2022, title={Using second-order information in gradient sampling methods for nonsmooth optimization}, journal={arXiv:2210.04579}, author={Gebken, Bennet}, year={2022} }","mla":"Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.","short":"B. Gebken, ArXiv:2210.04579 (2022).","ieee":"B. Gebken, “Using second-order information in gradient sampling methods for nonsmooth optimization,” arXiv:2210.04579. 2022."},"year":"2022","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2210.04579"}]},{"user_id":"178","article_type":"original","volume":14,"date_created":"2022-12-21T19:27:51Z","status":"public","keyword":["20Exx","22Exx","32Cxx"],"publication":"p-Adic Numbers, Ultrametric Analysis, and Applications","author":[{"last_name":"Glöckner","id":"178","first_name":"Helge","full_name":"Glöckner, Helge"}],"quality_controlled":"1","issue":"2","_id":"34792","intvolume":" 14","page":"138–144","type":"journal_article","year":"2022","citation":{"mla":"Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications, vol. 14, no. 2, 2022, pp. 138–144, doi:10.1134/S2070046622020042.","bibtex":"@article{Glöckner_2022, title={Non-Lie subgroups in Lie groups over local fields of positive characteristic}, volume={14}, DOI={10.1134/S2070046622020042}, number={2}, journal={p-Adic Numbers, Ultrametric Analysis, and Applications}, author={Glöckner, Helge}, year={2022}, pages={138–144} }","chicago":"Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications 14, no. 2 (2022): 138–144. https://doi.org/10.1134/S2070046622020042.","ama":"Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic. p-Adic Numbers, Ultrametric Analysis, and Applications. 2022;14(2):138–144. doi:10.1134/S2070046622020042","apa":"Glöckner, H. (2022). Non-Lie subgroups in Lie groups over local fields of positive characteristic. P-Adic Numbers, Ultrametric Analysis, and Applications, 14(2), 138–144. https://doi.org/10.1134/S2070046622020042","ieee":"H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive characteristic,” p-Adic Numbers, Ultrametric Analysis, and Applications, vol. 14, no. 2, pp. 138–144, 2022, doi: 10.1134/S2070046622020042.","short":"H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022) 138–144."},"title":"Non-Lie subgroups in Lie groups over local fields of positive characteristic","publication_identifier":{"issn":["2070-0466"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"doi":"10.1134/S2070046622020042","date_updated":"2022-12-21T19:30:25Z","language":[{"iso":"eng"}]},{"doi":"10.1007/s10455-021-09816-y","date_updated":"2022-12-21T19:27:09Z","language":[{"iso":"eng"}],"title":"Manifolds of mappings on Cartesian products","publication_identifier":{"issn":["0232-704X"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"issue":"2","_id":"34791","intvolume":" 61","type":"journal_article","citation":{"mla":"Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry, vol. 61, no. 2, 2022, pp. 359–398, doi:10.1007/s10455-021-09816-y.","bibtex":"@article{Glöckner_Schmeding_2022, title={Manifolds of mappings on Cartesian products}, volume={61}, DOI={10.1007/s10455-021-09816-y}, number={2}, journal={Annals of Global Analysis and Geometry}, author={Glöckner, Helge and Schmeding, Alexander}, year={2022}, pages={359–398} }","chicago":"Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry 61, no. 2 (2022): 359–398. https://doi.org/10.1007/s10455-021-09816-y.","apa":"Glöckner, H., & Schmeding, A. (2022). Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry, 61(2), 359–398. https://doi.org/10.1007/s10455-021-09816-y","ama":"Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry. 2022;61(2):359–398. doi:10.1007/s10455-021-09816-y","ieee":"H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” Annals of Global Analysis and Geometry, vol. 61, no. 2, pp. 359–398, 2022, doi: 10.1007/s10455-021-09816-y.","short":"H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022) 359–398."},"year":"2022","page":"359–398","user_id":"178","article_type":"original","volume":61,"status":"public","date_created":"2022-12-21T19:24:48Z","quality_controlled":"1","author":[{"full_name":"Glöckner, Helge","first_name":"Helge","id":"178","last_name":"Glöckner"},{"first_name":"Alexander","full_name":"Schmeding, Alexander","last_name":"Schmeding"}],"keyword":["58D15","22E65","26E15","26E20","46E40","46T20","58A05"],"publication":"Annals of Global Analysis and Geometry"},{"year":"2022","citation":{"ieee":"H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” Axioms, vol. 11, no. 5, 2022, doi: 10.3390/axioms11050221.","short":"H. Glöckner, Axioms 11 (2022).","bibtex":"@article{Glöckner_2022, title={Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces}, volume={11}, DOI={10.3390/axioms11050221}, number={5}, journal={Axioms}, author={Glöckner, Helge}, year={2022} }","mla":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms, vol. 11, no. 5, 2022, doi:10.3390/axioms11050221.","chicago":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms 11, no. 5 (2022). https://doi.org/10.3390/axioms11050221.","ama":"Glöckner H. Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. Axioms. 2022;11(5). doi:10.3390/axioms11050221","apa":"Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. Axioms, 11(5). https://doi.org/10.3390/axioms11050221"},"type":"journal_article","_id":"34796","intvolume":" 11","issue":"5","publication":"Axioms","quality_controlled":"1","author":[{"full_name":"Glöckner, Helge","first_name":"Helge","id":"178","last_name":"Glöckner"}],"volume":11,"date_created":"2022-12-21T20:02:29Z","status":"public","abstract":[{"text":"We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector bundles, to construct new bundles from given ones, such as dual bundles, topological tensor products, infinite direct sums, and completions (under suitable hypotheses); (2) in the theory of locally convex Poisson vector spaces, to prove continuity of the Poisson bracket and continuity of passage from a function to the associated Hamiltonian vector field. Topological properties of topological vector spaces are essential for the studies, which allow the hypocontinuity of bilinear mappings to be exploited. Notably, we encounter kR-spaces and locally convex spaces E such that E×E is a kR-space.","lang":"eng"}],"article_type":"original","user_id":"178","language":[{"iso":"eng"}],"date_updated":"2022-12-22T07:31:55Z","doi":"10.3390/axioms11050221","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication_identifier":{"issn":["2075-1680"]},"title":"Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces"},{"author":[{"first_name":"Helge","full_name":"Glöckner, Helge","last_name":"Glöckner","id":"178"}],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication":"arXiv:2206.11711","status":"public","date_created":"2022-12-22T07:42:07Z","external_id":{"arxiv":["2206.11711"]},"abstract":[{"text":"Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing suitable commutative topological algebras. We study Birkhoff\r\ndecompositions for the corresponding loop groups. Some results remain valid for\r\nloop groups with valued in complex Banach-Lie groups.","lang":"eng"}],"user_id":"178","title":"Birkhoff decompositions for loop groups with coefficient algebras","language":[{"iso":"eng"}],"citation":{"ieee":"H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” arXiv:2206.11711. 2022.","short":"H. Glöckner, ArXiv:2206.11711 (2022).","bibtex":"@article{Glöckner_2022, title={Birkhoff decompositions for loop groups with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge}, year={2022} }","mla":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022.","chicago":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022.","apa":"Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In arXiv:2206.11711.","ama":"Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. arXiv:220611711. Published online 2022."},"type":"preprint","year":"2022","date_updated":"2022-12-22T07:44:08Z","_id":"34804"},{"main_file_link":[{"open_access":"1","url":"https://digital.ub.uni-paderborn.de/hs/download/pdf/6531779"}],"supervisor":[{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"}],"language":[{"iso":"eng"}],"citation":{"short":"B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.","ieee":"B. Gebken, Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. 2022.","chicago":"Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022. https://doi.org/10.17619/UNIPB/1-1327.","apa":"Gebken, B. (2022). Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. https://doi.org/10.17619/UNIPB/1-1327","ama":"Gebken B. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization.; 2022. doi:10.17619/UNIPB/1-1327","mla":"Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization. 2022, doi:10.17619/UNIPB/1-1327.","bibtex":"@book{Gebken_2022, title={Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization}, DOI={10.17619/UNIPB/1-1327}, author={Gebken, Bennet}, year={2022} }"},"type":"dissertation","year":"2022","_id":"31556","date_updated":"2022-06-01T07:13:09Z","oa":"1","doi":"10.17619/UNIPB/1-1327","department":[{"_id":"101"}],"author":[{"last_name":"Gebken","id":"32643","first_name":"Bennet","full_name":"Gebken, Bennet"}],"date_created":"2022-06-01T06:48:08Z","status":"public","abstract":[{"text":"Mehrzieloptimierung behandelt Probleme, bei denen mehrere skalare Zielfunktionen simultan optimiert werden sollen. Ein Punkt ist in diesem Fall optimal, wenn es keinen anderen Punkt gibt, der mindestens genauso gut ist in allen Zielfunktionen und besser in mindestens einer Zielfunktion. Ein notwendiges Optimalitätskriterium lässt sich über Ableitungsinformationen erster Ordnung der Zielfunktionen herleiten. Die Menge der Punkte, die dieses notwendige Kriterium erfüllen, wird als Pareto-kritische Menge bezeichnet. Diese Arbeit enthält neue Resultate über Pareto-kritische Mengen für glatte und nicht-glatte Mehrzieloptimierungsprobleme, sowohl was deren Berechnung betrifft als auch deren Struktur. Im glatten Fall erfolgt die Berechnung über ein Fortsetzungsverfahren, im nichtglatten Fall über ein Abstiegsverfahren. Anschließend wird die Struktur des Randes der Pareto-kritischen Menge analysiert, welcher aus Pareto-kritischen Mengen kleinerer Subprobleme besteht. Schlussendlich werden inverse Probleme betrachtet, bei denen zu einer gegebenen Datenmenge ein Zielfunktionsvektor gefunden werden soll, für den die Datenpunkte kritisch sind.","lang":"ger"},{"lang":"eng","text":"Multiobjective optimization is concerned with the simultaneous optimization of multiple scalar-valued functions. In this case, a point is optimal if there is no other point that is at least as good in all objectives and better in at least one objective. A necessary condition for optimality can be derived based on first-order information of the objectives. The set of points that satisfy this necessary condition is called the Pareto critical set. This thesis presents new results about Pareto critical sets for smooth and nonsmooth multiobjective optimization problems, both in terms of their efficient computation and structural properties. In the smooth case they are computed via a continuation method and in the nonsmooth case via a descent method. Afterwards, the structure of the boundary of the Pareto critical set is analyzed, which consists of Pareto critical sets of smaller subproblems. Finally, inverse problems are considered, where a data set is given and an objective vector is sought for which the data points are critical."}],"user_id":"32643","title":"Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization"},{"status":"public","date_created":"2022-08-26T06:08:06Z","author":[{"first_name":"Manuel Bastian","full_name":"Berkemeier, Manuel Bastian","last_name":"Berkemeier","id":"51701"},{"first_name":"Sebastian","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","last_name":"Peitz","id":"47427"}],"department":[{"_id":"101"},{"_id":"655"}],"publication":"arXiv:2208.12094","user_id":"47427","title":"Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients","abstract":[{"text":"In this article, we build on previous work to present an optimization algorithm for nonlinearly constrained multi-objective optimization problems. The algorithm combines a surrogate-assisted derivative-free trust-region approach with the filter method known from single-objective optimization. Instead of the true objective and constraint functions, so-called fully linear models are employed and we show how to deal with the gradient inexactness in the composite step setting, adapted from single-objective optimization as well. Under standard assumptions, we prove convergence of a subset of iterates to a quasi-stationary point and if constraint qualifications hold, then the limit point is also a KKT-point of the multi-objective problem.","lang":"eng"}],"external_id":{"arxiv":["2208.12094"]},"language":[{"iso":"eng"}],"year":"2022","citation":{"ieee":"M. B. Berkemeier and S. Peitz, “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients,” arXiv:2208.12094. 2022.","short":"M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).","bibtex":"@article{Berkemeier_Peitz_2022, title={Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients}, journal={arXiv:2208.12094}, author={Berkemeier, Manuel Bastian and Peitz, Sebastian}, year={2022} }","mla":"Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094, 2022.","apa":"Berkemeier, M. B., & Peitz, S. (2022). Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients. In arXiv:2208.12094.","ama":"Berkemeier MB, Peitz S. Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients. arXiv:220812094. Published online 2022.","chicago":"Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094, 2022."},"type":"preprint","main_file_link":[{"url":"https://arxiv.org/pdf/2208.12094","open_access":"1"}],"oa":"1","_id":"33150","date_updated":"2022-08-26T06:12:10Z"},{"language":[{"iso":"eng"}],"date_updated":"2022-10-21T12:27:16Z","doi":"10.1109/TPAMI.2021.3114962","oa":"1","department":[{"_id":"101"},{"_id":"530"},{"_id":"655"}],"publication_status":"epub_ahead","title":"On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation","main_file_link":[{"url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9547772","open_access":"1"}],"citation":{"mla":"Bieker, Katharina, et al. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, IEEE, 2022, pp. 7797–808, doi:10.1109/TPAMI.2021.3114962.","bibtex":"@article{Bieker_Gebken_Peitz_2022, title={On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation}, volume={44}, DOI={10.1109/TPAMI.2021.3114962}, number={11}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, publisher={IEEE}, author={Bieker, Katharina and Gebken, Bennet and Peitz, Sebastian}, year={2022}, pages={7797–7808} }","chicago":"Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no. 11 (2022): 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962.","ama":"Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2022;44(11):7797-7808. doi:10.1109/TPAMI.2021.3114962","apa":"Bieker, K., Gebken, B., & Peitz, S. (2022). On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962","ieee":"K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808, 2022, doi: 10.1109/TPAMI.2021.3114962.","short":"K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808."},"type":"journal_article","year":"2022","page":"7797-7808","intvolume":" 44","_id":"20731","issue":"11","publisher":"IEEE","author":[{"id":"32829","last_name":"Bieker","full_name":"Bieker, Katharina","first_name":"Katharina"},{"full_name":"Gebken, Bennet","first_name":"Bennet","id":"32643","last_name":"Gebken"},{"full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","first_name":"Sebastian","id":"47427","last_name":"Peitz"}],"publication":"IEEE Transactions on Pattern Analysis and Machine Intelligence","file_date_updated":"2021-09-25T11:59:15Z","file":[{"access_level":"closed","date_created":"2021-09-25T11:59:15Z","file_name":"On_the_Treatment_of_Optimization_Problems_with_L1_Penalty_Terms_via_Multiobjective_Continuation.pdf","date_updated":"2021-09-25T11:59:15Z","content_type":"application/pdf","relation":"main_file","success":1,"file_size":7990831,"creator":"speitz","file_id":"25040"}],"volume":44,"status":"public","has_accepted_license":"1","date_created":"2020-12-15T07:46:36Z","article_type":"original","abstract":[{"text":"We present a novel algorithm that allows us to gain detailed insight into the effects of sparsity in linear and nonlinear optimization, which is of great importance in many scientific areas such as image and signal processing, medical imaging, compressed sensing, and machine learning (e.g., for the training of neural networks). Sparsity is an important feature to ensure robustness against noisy data, but also to find models that are interpretable and easy to analyze due to the small number of relevant terms. It is common practice to enforce sparsity by adding the ℓ1-norm as a weighted penalty term. In order to gain a better understanding and to allow for an informed model selection, we directly solve the corresponding multiobjective optimization problem (MOP) that arises when we minimize the main objective and the ℓ1-norm simultaneously. As this MOP is in general non-convex for nonlinear objectives, the weighting method will fail to provide all optimal compromises. To avoid this issue, we present a continuation method which is specifically tailored to MOPs with two objective functions one of which is the ℓ1-norm. Our method can be seen as a generalization of well-known homotopy methods for linear regression problems to the nonlinear case. Several numerical examples - including neural network training - demonstrate our theoretical findings and the additional insight that can be gained by this multiobjective approach.","lang":"eng"}],"ddc":["510"],"user_id":"47427"},{"language":[{"iso":"eng"}],"doi":"10.1007/s00023-021-01121-5","date_updated":"2023-01-06T08:59:03Z","publication_identifier":{"issn":["1424-0637","1424-0661"]},"publication_status":"published","department":[{"_id":"548"}],"title":"Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature","external_id":{"arxiv":["arXiv:2011.06434"]},"page":"1283-1296","citation":{"short":"M. Kolb, T. Weich, L.L. Wolf, Annales Henri Poincaré 23 (2022) 1283–1296.","ieee":"M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature,” Annales Henri Poincaré, vol. 23, no. 4, pp. 1283–1296, 2022, doi: 10.1007/s00023-021-01121-5.","chicago":"Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré 23, no. 4 (2022): 1283–96. https://doi.org/10.1007/s00023-021-01121-5.","apa":"Kolb, M., Weich, T., & Wolf, L. L. (2022). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré, 23(4), 1283–1296. https://doi.org/10.1007/s00023-021-01121-5","ama":"Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré. 2022;23(4):1283-1296. doi:10.1007/s00023-021-01121-5","mla":"Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré, vol. 23, no. 4, Springer Science and Business Media LLC, 2022, pp. 1283–96, doi:10.1007/s00023-021-01121-5.","bibtex":"@article{Kolb_Weich_Wolf_2022, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature}, volume={23}, DOI={10.1007/s00023-021-01121-5}, number={4}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}, year={2022}, pages={1283–1296} }"},"type":"journal_article","year":"2022","issue":"4","_id":"31193","intvolume":" 23","volume":23,"date_created":"2022-05-11T10:46:10Z","status":"public","publication":"Annales Henri Poincaré","keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"author":[{"full_name":"Kolb, Martin","first_name":"Martin","id":"48880","last_name":"Kolb"},{"last_name":"Weich","id":"49178","first_name":"Tobias","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919"},{"id":"45027","last_name":"Wolf","full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart"}],"publisher":"Springer Science and Business Media LLC","user_id":"49178","abstract":[{"lang":"eng","text":"AbstractThe kinetic Brownian motion on the sphere bundle of a Riemannian manifold $$\\mathbb {M}$$\r\n M\r\n is a stochastic process that models a random perturbation of the geodesic flow. If $$\\mathbb {M}$$\r\n M\r\n is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the $$L^2$$\r\n \r\n L\r\n 2\r\n \r\n -spectrum of the infinitesimal generator of a time-rescaled version of the process converges to the Laplace spectrum of the base manifold."}]},{"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"publication_identifier":{"issn":["1435-9855"]},"publication_status":"published","title":"Ruelle–Pollicott resonances for manifolds with hyperbolic cusps","language":[{"iso":"eng"}],"date_updated":"2023-01-06T08:47:35Z","doi":"10.4171/jems/1103","author":[{"last_name":"Guedes Bonthonneau","full_name":"Guedes Bonthonneau, Yannick","first_name":"Yannick"},{"id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias"}],"publisher":"European Mathematical Society - EMS - Publishing House GmbH","keyword":["Applied Mathematics","General Mathematics"],"publication":"Journal of the European Mathematical Society","volume":24,"status":"public","date_created":"2023-01-05T16:23:34Z","user_id":"49178","type":"journal_article","citation":{"short":"Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923.","ieee":"Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds with hyperbolic cusps,” Journal of the European Mathematical Society, vol. 24, no. 3, pp. 851–923, 2022, doi: 10.4171/jems/1103.","apa":"Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society, 24(3), 851–923. https://doi.org/10.4171/jems/1103","ama":"Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923. doi:10.4171/jems/1103","chicago":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society 24, no. 3 (2022): 851–923. https://doi.org/10.4171/jems/1103.","mla":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society, vol. 24, no. 3, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 851–923, doi:10.4171/jems/1103.","bibtex":"@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances for manifolds with hyperbolic cusps}, volume={24}, DOI={10.4171/jems/1103}, number={3}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau, Yannick and Weich, Tobias}, year={2022}, pages={851–923} }"},"year":"2022","page":"851-923","_id":"35306","intvolume":" 24","issue":"3"},{"language":[{"iso":"eng"}],"doi":"10.1016/j.cam.2022.114118","date_updated":"2023-01-09T08:23:56Z","publication_identifier":{"issn":["0377-0427"]},"publication_status":"published","department":[{"_id":"10"}],"title":"L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data","citation":{"chicago":"Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics 408 (2022). https://doi.org/10.1016/j.cam.2022.114118.","ama":"Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118","apa":"Hesse, K., & Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics, 408, Article 114118. https://doi.org/10.1016/j.cam.2022.114118","bibtex":"@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data}, volume={408}, DOI={10.1016/j.cam.2022.114118}, number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }","mla":"Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier BV, 2022, doi:10.1016/j.cam.2022.114118.","short":"K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408 (2022).","ieee":"K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data,” Journal of Computational and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118."},"type":"journal_article","year":"2022","article_number":"114118","_id":"34633","intvolume":" 408","volume":408,"status":"public","date_created":"2022-12-20T17:37:16Z","publisher":"Elsevier BV","author":[{"first_name":"Kerstin","full_name":"Hesse, Kerstin","orcid":"0000-0003-4125-1941","last_name":"Hesse","id":"42608"},{"full_name":"Le Gia, Quoc Thong","first_name":"Quoc Thong","last_name":"Le Gia"}],"keyword":["Applied Mathematics","Computational Mathematics"],"publication":"Journal of Computational and Applied Mathematics","user_id":"14931"},{"issue":"1","_id":"34817","intvolume":" 30","citation":{"short":"M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152.","ieee":"M. Hanusch, “Regularity of Lie groups,” Communications in Analysis and Geometry, vol. 30, no. 1, pp. 53–152, 2022, doi: 10.4310/cag.2022.v30.n1.a2.","chicago":"Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis and Geometry 30, no. 1 (2022): 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2.","ama":"Hanusch M. Regularity of Lie groups. Communications in Analysis and Geometry. 2022;30(1):53-152. doi:10.4310/cag.2022.v30.n1.a2","apa":"Hanusch, M. (2022). Regularity of Lie groups. Communications in Analysis and Geometry, 30(1), 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2","mla":"Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis and Geometry, vol. 30, no. 1, International Press of Boston, 2022, pp. 53–152, doi:10.4310/cag.2022.v30.n1.a2.","bibtex":"@article{Hanusch_2022, title={Regularity of Lie groups}, volume={30}, DOI={10.4310/cag.2022.v30.n1.a2}, number={1}, journal={Communications in Analysis and Geometry}, publisher={International Press of Boston}, author={Hanusch, Maximilian}, year={2022}, pages={53–152} }"},"type":"journal_article","year":"2022","page":"53-152","user_id":"30905","article_type":"original","extern":"1","status":"public","date_created":"2022-12-22T09:19:43Z","volume":30,"publisher":"International Press of Boston","author":[{"full_name":"Hanusch, Maximilian","first_name":"Maximilian","id":"30905","last_name":"Hanusch"}],"keyword":["regularity of Lie groups"],"publication":"Communications in Analysis and Geometry","doi":"10.4310/cag.2022.v30.n1.a2","date_updated":"2023-01-09T18:07:30Z","language":[{"iso":"eng"}],"title":"Regularity of Lie groups","publication_identifier":{"issn":["1019-8385","1944-9992"]},"publication_status":"published","department":[{"_id":"93"}]},{"type":"working_paper","year":"2022","citation":{"ieee":"M. Hanusch, Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","short":"M. Hanusch, Analysis 1 und 2 Skript/Buch, https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d.","mla":"Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","bibtex":"@book{Hanusch, title={Analysis 1 und 2 Skript/Buch}, publisher={https://maximilianhanusch.wixsite.com/my-site/lehre-teaching}, author={Hanusch, Maximilian} }","apa":"Hanusch, M. (n.d.). Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","ama":"Hanusch M. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","chicago":"Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d."},"page":"385","language":[{"iso":"ger"}],"date_updated":"2023-01-09T18:07:00Z","_id":"34856","publication_status":"draft","status":"public","date_created":"2022-12-22T17:06:02Z","author":[{"id":"30905","last_name":"Hanusch","full_name":"Hanusch, Maximilian","first_name":"Maximilian"}],"publisher":"https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","department":[{"_id":"93"}],"title":"Analysis 1 und 2 Skript/Buch","user_id":"30905"},{"user_id":"85821","title":"Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary","status":"public","date_created":"2023-01-10T08:13:17Z","volume":67,"publication_status":"published","author":[{"full_name":"Kolb, Martin","first_name":"Martin","id":"48880","last_name":"Kolb"},{"last_name":"Klump","id":"45067","first_name":"Alexander","full_name":"Klump, Alexander"}],"publisher":"Society for Industrial and Applied Mathematics","department":[{"_id":"96"}],"publication":"Theory of Probability and its Applications","issue":"4","date_updated":"2023-01-10T08:13:30Z","_id":"35644","intvolume":" 67","language":[{"iso":"eng"}],"type":"journal_article","year":"2022","citation":{"ieee":"M. Kolb and A. Klump, “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary,” Theory of Probability and its Applications, vol. 67, no. 4, pp. 717–744, 2022.","bibtex":"@article{Kolb_Klump_2022, title={Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary}, volume={67}, number={4}, journal={Theory of Probability and its Applications}, publisher={Society for Industrial and Applied Mathematics}, author={Kolb, Martin and Klump, Alexander}, year={2022}, pages={717–744} }","mla":"Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability and Its Applications, vol. 67, no. 4, Society for Industrial and Applied Mathematics, 2022, pp. 717–44.","ama":"Kolb M, Klump A. Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary. Theory of Probability and its Applications. 2022;67(4):717-744.","short":"M. Kolb, A. Klump, Theory of Probability and Its Applications 67 (2022) 717–744.","apa":"Kolb, M., & Klump, A. (2022). Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary. Theory of Probability and Its Applications, 67(4), 717–744.","chicago":"Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability and Its Applications 67, no. 4 (2022): 717–44."},"page":"717-744"},{"user_id":"85821","title":"On non-extinction in a Fleming-Viot-type particle model with Bessel drift","abstract":[{"text":"Motivated by the work [6] of Mariusz Bieniek, Krzysztof Burdzy and Soumik Pal we study a Fleming-Viot-type particle system consisting of independently moving particles each driven by generalized Bessel processes on the positive real line. Upon hitting the boundary {0} this particle is killed and an uniformly chosen different one branches into two particles. Using the symmetry of the model and the self similarity property of Bessel processes, we obtain a criterion to decide whether the particles converge to the origin at a finite time. This addresses open problem 1.4 in [6]. Specifically, inspired by [6, Open Problem 1.5], we investigate the case of three moving particles and refine the general result of [6, Theorem 1.1(ii)] extending the regime of drift parameters, where convergence does not occur – even to values, where it does occur when considering the case of only two particles.","lang":"eng"}],"status":"public","date_created":"2023-01-10T08:19:25Z","publication_status":"published","publisher":"Institute of Mathematical Statistics","author":[{"full_name":"Kolb, Martin","first_name":"Martin","id":"48880","last_name":"Kolb"},{"first_name":"Matthias","full_name":"Liesenfeld, Matthias","last_name":"Liesenfeld"}],"publication":"Electronic Journal of Probability","department":[{"_id":"96"}],"issue":"27","doi":"https://doi.org/10.1214/22-EJP866","date_updated":"2023-01-10T08:19:38Z","_id":"35649","language":[{"iso":"eng"}],"type":"journal_article","citation":{"short":"M. Kolb, M. Liesenfeld, Electronic Journal of Probability (2022) 1–28.","ieee":"M. Kolb and M. Liesenfeld, “On non-extinction in a Fleming-Viot-type particle model with Bessel drift,” Electronic Journal of Probability, no. 27, pp. 1–28, 2022, doi: https://doi.org/10.1214/22-EJP866.","chicago":"Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type Particle Model with Bessel Drift.” Electronic Journal of Probability, no. 27 (2022): 1–28. https://doi.org/10.1214/22-EJP866.","apa":"Kolb, M., & Liesenfeld, M. (2022). On non-extinction in a Fleming-Viot-type particle model with Bessel drift. Electronic Journal of Probability, 27, 1–28. https://doi.org/10.1214/22-EJP866","ama":"Kolb M, Liesenfeld M. On non-extinction in a Fleming-Viot-type particle model with Bessel drift. Electronic Journal of Probability. 2022;(27):1-28. doi:https://doi.org/10.1214/22-EJP866","bibtex":"@article{Kolb_Liesenfeld_2022, title={On non-extinction in a Fleming-Viot-type particle model with Bessel drift}, DOI={https://doi.org/10.1214/22-EJP866}, number={27}, journal={Electronic Journal of Probability}, publisher={Institute of Mathematical Statistics}, author={Kolb, Martin and Liesenfeld, Matthias}, year={2022}, pages={1–28} }","mla":"Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type Particle Model with Bessel Drift.” Electronic Journal of Probability, no. 27, Institute of Mathematical Statistics, 2022, pp. 1–28, doi:https://doi.org/10.1214/22-EJP866."},"year":"2022","page":"1-28"},{"_id":"35650","date_updated":"2023-01-10T08:29:02Z","intvolume":" 27","doi":"https://doi.org/10.48550/arXiv.2203.14772","year":"2022","citation":{"chicago":"Denisov, Denis, Günter Hinrichs, Martin Kolb, and Vitali Wachtel. “Persistence of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of Probability 27 (2022): 1–43. https://doi.org/10.48550/arXiv.2203.14772.","ama":"Denisov D, Hinrichs G, Kolb M, Wachtel V. Persistence of autoregressive sequences with logarithmic tails. Electronic Journal of Probability. 2022;27:1-43. doi:https://doi.org/10.48550/arXiv.2203.14772","apa":"Denisov, D., Hinrichs, G., Kolb, M., & Wachtel, V. (2022). Persistence of autoregressive sequences with logarithmic tails. Electronic Journal of Probability, 27, 1–43. https://doi.org/10.48550/arXiv.2203.14772","mla":"Denisov, Denis, et al. “Persistence of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of Probability, vol. 27, Institute of Mathematical Statistics, 2022, pp. 1–43, doi:https://doi.org/10.48550/arXiv.2203.14772.","bibtex":"@article{Denisov_Hinrichs_Kolb_Wachtel_2022, title={Persistence of autoregressive sequences with logarithmic tails}, volume={27}, DOI={https://doi.org/10.48550/arXiv.2203.14772}, journal={Electronic Journal of Probability}, publisher={Institute of Mathematical Statistics}, author={Denisov, Denis and Hinrichs, Günter and Kolb, Martin and Wachtel, Vitali}, year={2022}, pages={1–43} }","short":"D. Denisov, G. Hinrichs, M. Kolb, V. Wachtel, Electronic Journal of Probability 27 (2022) 1–43.","ieee":"D. Denisov, G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of autoregressive sequences with logarithmic tails,” Electronic Journal of Probability, vol. 27, pp. 1–43, 2022, doi: https://doi.org/10.48550/arXiv.2203.14772."},"type":"journal_article","page":"1-43","language":[{"iso":"eng"}],"abstract":[{"text":"We consider autoregressive sequences Xn = aXn−1 + ξn and\r\nMn = max{aMn−1 , ξn} with a constant a ∈ (0, 1) and with positive, in-\r\ndependent and identically distributed innovations {ξk }. It is known that if\r\nP(ξ1 > x) ∼ d\r\nlog x with some d ∈ (0, − log a) then the chains {Xn} and {Mn}\r\nare null recurrent. We investigate the tail behaviour of recurrence times in this\r\ncase of logarithmically decaying tails. More precisely, we show that the tails\r\nof recurrence times are regularly varying of index −1 − d/ log a. We also prove\r\nlimit theorems for {Xn} and {Mn} conditioned to stay over a fixed level x0.\r\nFurthermore, we study tail asymptotics for recurrence times of {Xn} and {Mn}\r\nin the case when these chains are positive recurrent and the tail of log ξ1 is\r\nsubexponential.","lang":"eng"}],"title":"Persistence of autoregressive sequences with logarithmic tails","user_id":"85821","author":[{"last_name":"Denisov","first_name":"Denis","full_name":"Denisov, Denis"},{"full_name":"Hinrichs, Günter","first_name":"Günter","last_name":"Hinrichs"},{"first_name":"Martin","full_name":"Kolb, Martin","last_name":"Kolb","id":"48880"},{"last_name":"Wachtel","first_name":"Vitali","full_name":"Wachtel, Vitali"}],"publisher":"Institute of Mathematical Statistics","department":[{"_id":"96"}],"publication":"Electronic Journal of Probability","publication_status":"published","volume":27,"status":"public","date_created":"2023-01-10T08:28:12Z"},{"year":"2022","citation":{"ieee":"M. Liebendörfer et al., “The role of learning strategies for performance in mathematics courses for engineers,” International Journal of Mathematical Education in Science and Technology, vol. 53, no. 5, pp. 1133–1152, 2022, doi: 10.1080/0020739x.2021.2023772.","short":"M. Liebendörfer, R. Göller, L. Gildehaus, J. Kortemeyer, R. Biehler, R. Hochmuth, L. Ostsieker, J. Rode, N. Schaper, International Journal of Mathematical Education in Science and Technology 53 (2022) 1133–1152.","bibtex":"@article{Liebendörfer_Göller_Gildehaus_Kortemeyer_Biehler_Hochmuth_Ostsieker_Rode_Schaper_2022, title={The role of learning strategies for performance in mathematics courses for engineers}, volume={53}, DOI={10.1080/0020739x.2021.2023772}, number={5}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Liebendörfer, Michael and Göller, Robin and Gildehaus, Lara and Kortemeyer, Jörg and Biehler, Rolf and Hochmuth, Reinhard and Ostsieker, Laura and Rode, Jana and Schaper, Niclas}, year={2022}, pages={1133–1152} }","mla":"Liebendörfer, Michael, et al. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” International Journal of Mathematical Education in Science and Technology, vol. 53, no. 5, Informa UK Limited, 2022, pp. 1133–52, doi:10.1080/0020739x.2021.2023772.","chicago":"Liebendörfer, Michael, Robin Göller, Lara Gildehaus, Jörg Kortemeyer, Rolf Biehler, Reinhard Hochmuth, Laura Ostsieker, Jana Rode, and Niclas Schaper. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” International Journal of Mathematical Education in Science and Technology 53, no. 5 (2022): 1133–52. https://doi.org/10.1080/0020739x.2021.2023772.","apa":"Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth, R., Ostsieker, L., Rode, J., & Schaper, N. (2022). The role of learning strategies for performance in mathematics courses for engineers. International Journal of Mathematical Education in Science and Technology, 53(5), 1133–1152. https://doi.org/10.1080/0020739x.2021.2023772","ama":"Liebendörfer M, Göller R, Gildehaus L, et al. The role of learning strategies for performance in mathematics courses for engineers. International Journal of Mathematical Education in Science and Technology. 2022;53(5):1133-1152. doi:10.1080/0020739x.2021.2023772"},"type":"journal_article","page":"1133-1152","intvolume":" 53","_id":"35685","issue":"5","author":[{"first_name":"Michael","orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael","last_name":"Liebendörfer","id":"30933"},{"last_name":"Göller","full_name":"Göller, Robin","first_name":"Robin"},{"first_name":"Lara","full_name":"Gildehaus, Lara","last_name":"Gildehaus"},{"full_name":"Kortemeyer, Jörg","first_name":"Jörg","last_name":"Kortemeyer"},{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"full_name":"Hochmuth, Reinhard","first_name":"Reinhard","last_name":"Hochmuth"},{"first_name":"Laura","full_name":"Ostsieker, Laura","last_name":"Ostsieker"},{"first_name":"Jana","full_name":"Rode, Jana","last_name":"Rode"},{"last_name":"Schaper","full_name":"Schaper, Niclas","first_name":"Niclas"}],"publisher":"Informa UK Limited","publication":"International Journal of Mathematical Education in Science and Technology","keyword":["Applied Mathematics","Education","Mathematics (miscellaneous)"],"volume":53,"status":"public","date_created":"2023-01-10T08:56:30Z","user_id":"37888","language":[{"iso":"eng"}],"date_updated":"2023-01-10T08:58:56Z","doi":"10.1080/0020739x.2021.2023772","department":[{"_id":"363"}],"publication_status":"published","publication_identifier":{"issn":["0020-739X","1464-5211"]},"title":"The role of learning strategies for performance in mathematics courses for engineers"},{"issue":"232","intvolume":" 2022","_id":"35718","date_updated":"2023-01-11T08:02:49Z","language":[{"iso":"eng"}],"page":"41–45","citation":{"ieee":"R. Biehler, H. Langlotz, and W. Zappe, “Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln,” mathematik lehren, vol. 2022, no. 232, pp. 41–45, 2022.","short":"R. Biehler, H. Langlotz, W. Zappe, Mathematik Lehren 2022 (2022) 41–45.","bibtex":"@article{Biehler_Langlotz_Zappe_2022, title={Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln}, volume={2022}, number={232}, journal={mathematik lehren}, publisher={Friedrich Verlag}, author={Biehler, Rolf and Langlotz, Hubert and Zappe, Wilfried}, year={2022}, pages={41–45} }","mla":"Biehler, Rolf, et al. “Alles Normal?! Daten Auf Normalverteilung Prüfen–Mit Schulischen Mitteln.” Mathematik Lehren, vol. 2022, no. 232, Friedrich Verlag, 2022, pp. 41–45.","chicago":"Biehler, Rolf, Hubert Langlotz, and Wilfried Zappe. “Alles Normal?! Daten Auf Normalverteilung Prüfen–Mit Schulischen Mitteln.” Mathematik Lehren 2022, no. 232 (2022): 41–45.","apa":"Biehler, R., Langlotz, H., & Zappe, W. (2022). Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln. Mathematik Lehren, 2022(232), 41–45.","ama":"Biehler R, Langlotz H, Zappe W. Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln. mathematik lehren. 2022;2022(232):41–45."},"year":"2022","type":"journal_article","user_id":"37888","title":"Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln","date_created":"2023-01-10T09:25:23Z","status":"public","volume":2022,"publication":"mathematik lehren","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"author":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"first_name":"Hubert","full_name":"Langlotz, Hubert","last_name":"Langlotz"},{"last_name":"Zappe","full_name":"Zappe, Wilfried","first_name":"Wilfried"}],"publisher":"Friedrich Verlag"},{"place":"Rosario, Argentina","abstract":[{"lang":"eng","text":"The data age has led to curriculum developments promoting the relevance of stochastics in mathematics education. This has resulted in an increased demand for teacher professional development (PD) courses, and thus in a rising number of facilitators for this purpose. Their expertise, however, remains under-researched, even though facilitators are the crucial factor in PD success. Our study aims at revealing how one aspect of facilitator expertise, orientation, is connected to other aspects: views on content goals, perception of possible challenges, and attitude towards teaching resources. The explorations reveal differing orientations and learning goals with identical teaching resources for two facilitators who had also been working as a team for the re-design of the PD course for years."}],"user_id":"37888","title":"Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability","author":[{"last_name":"Nieszporek","id":"59608","first_name":"Ralf","full_name":"Nieszporek, Ralf"},{"last_name":"Griese","first_name":"Birgit","full_name":"Griese, Birgit"},{"id":"16274","last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"}],"publisher":"International Association for Statistical Education","publication":"Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"status":"public","date_created":"2023-01-10T09:01:02Z","editor":[{"full_name":"Peters, S. A.","first_name":"S. A.","last_name":"Peters"},{"last_name":"Zapata-Cardona","full_name":"Zapata-Cardona, L.","first_name":"L."},{"full_name":"Bonafini, F.","first_name":"F.","last_name":"Bonafini"},{"full_name":"Fan, A.","first_name":"A.","last_name":"Fan"}],"publication_status":"published","_id":"35696","date_updated":"2023-01-11T08:07:52Z","doi":"10.52041/iase.icots11.t4b2","language":[{"iso":"eng"}],"citation":{"short":"R. Nieszporek, B. Griese, R. Biehler, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, Rosario, Argentina, 2022.","ieee":"R. Nieszporek, B. Griese, and R. Biehler, “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan, Eds. Rosario, Argentina: International Association for Statistical Education, 2022.","chicago":"Nieszporek, Ralf, Birgit Griese, and Rolf Biehler. “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. Rosario, Argentina: International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t4b2.","apa":"Nieszporek, R., Griese, B., & Biehler, R. (2022). Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t4b2","ama":"Nieszporek R, Griese B, Biehler R. Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t4b2","bibtex":"@inbook{Nieszporek_Griese_Biehler_2022, place={Rosario, Argentina}, title={Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability}, DOI={10.52041/iase.icots11.t4b2}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Nieszporek, Ralf and Griese, Birgit and Biehler, Rolf}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }","mla":"Nieszporek, Ralf, et al. “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t4b2."},"type":"book_chapter","year":"2022"},{"doi":"10.52041/iase.icots11.t1a2","date_updated":"2023-01-11T08:45:02Z","_id":"34919","type":"conference","citation":{"short":"R. Biehler, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, 2022.","ieee":"R. Biehler, “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t1a2.","chicago":"Biehler, Rolf. “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t1a2.","apa":"Biehler, R. (2022). Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t1a2","ama":"Biehler R. Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t1a2","bibtex":"@inproceedings{Biehler_2022, title={Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications}, DOI={10.52041/iase.icots11.t1a2}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Biehler, Rolf}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }","mla":"Biehler, Rolf. “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t1a2."},"year":"2022","language":[{"iso":"eng"}],"title":"Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications","user_id":"37888","abstract":[{"text":"Fundamental ideas (Burrill & Biehler, 2011) have been specified to structure the curriculum across different age levels and to focus on and revisit the most important ideas. Such ideas must be based on an epistemological analysis of the scientific domain of statistics and its applications. Because these domains are changing, fundamental ideas have to be revisited from time to time. In particular, data science and machine learning have led to new methods and applications in society that must be considered for updating fundamental ideas.","lang":"eng"}],"editor":[{"last_name":"Peters","first_name":"S. A.","full_name":"Peters, S. A."},{"last_name":"Zapata-Cardona","first_name":"L.","full_name":"Zapata-Cardona, L."},{"first_name":"F.","full_name":"Bonafini, F.","last_name":"Bonafini"},{"last_name":"Fan","first_name":"A.","full_name":"Fan, A."}],"publication_status":"published","status":"public","date_created":"2022-12-23T11:09:52Z","author":[{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"}],"publisher":"International Association for Statistical Education","publication":"Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}]},{"language":[{"iso":"eng"}],"doi":"10.52041/serj.v21i2.606","date_updated":"2023-01-11T08:46:32Z","publication_identifier":{"issn":["1570-1824"]},"publication_status":"published","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"title":"Editorial: Research on Data Science Education","year":"2022","citation":{"bibtex":"@article{Biehler_De Veaux_Engel_Kazak_Frischemeier_2022, title={Editorial: Research on Data Science Education}, volume={21}, DOI={10.52041/serj.v21i2.606}, number={21}, journal={Statistics Education Research Journal}, publisher={International Association for Statistical Education}, author={Biehler, Rolf and De Veaux, Richard and Engel, Joachim and Kazak, Sibel and Frischemeier, Daniel}, year={2022} }","mla":"Biehler, Rolf, et al. “Editorial: Research on Data Science Education.” Statistics Education Research Journal, vol. 21, no. 2, 1, International Association for Statistical Education, 2022, doi:10.52041/serj.v21i2.606.","ama":"Biehler R, De Veaux R, Engel J, Kazak S, Frischemeier D. Editorial: Research on Data Science Education. Statistics Education Research Journal. 2022;21(2). doi:10.52041/serj.v21i2.606","apa":"Biehler, R., De Veaux, R., Engel, J., Kazak, S., & Frischemeier, D. (2022). Editorial: Research on Data Science Education. Statistics Education Research Journal, 21(2), Article 1. https://doi.org/10.52041/serj.v21i2.606","chicago":"Biehler, Rolf, Richard De Veaux, Joachim Engel, Sibel Kazak, and Daniel Frischemeier. “Editorial: Research on Data Science Education.” Statistics Education Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.606.","ieee":"R. Biehler, R. De Veaux, J. Engel, S. Kazak, and D. Frischemeier, “Editorial: Research on Data Science Education,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 1, 2022, doi: 10.52041/serj.v21i2.606.","short":"R. Biehler, R. De Veaux, J. Engel, S. Kazak, D. Frischemeier, Statistics Education Research Journal 21 (2022)."},"type":"journal_article","article_number":"1","issue":"2","intvolume":" 21","_id":"34920","volume":21,"status":"public","date_created":"2022-12-23T11:20:39Z","author":[{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"},{"last_name":"De Veaux","full_name":"De Veaux, Richard","first_name":"Richard"},{"last_name":"Engel","first_name":"Joachim","full_name":"Engel, Joachim"},{"first_name":"Sibel","full_name":"Kazak, Sibel","last_name":"Kazak"},{"last_name":"Frischemeier","full_name":"Frischemeier, Daniel","first_name":"Daniel"}],"publisher":"International Association for Statistical Education","publication":"Statistics Education Research Journal","keyword":["Education","Statistics and Probability"],"user_id":"37888","abstract":[{"lang":"eng","text":"A very warm welcome to this Special Issue of the Statistics Education Research Journal (SERJ) on data science education. Our hope is to give an overview of selected theoretical thoughts and empirical studies on data science education from a statistics education research perspective. Data science education is rapidly developing but research into data science education is still in its infancy. The current issue presents a snapshot of this developing field."}]},{"publisher":"Friedrich Verlag","author":[{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"first_name":"Birgit","full_name":"Griese, Birgit","last_name":"Griese"}],"publication":"mathematik lehren","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"status":"public","date_created":"2023-01-11T08:49:12Z","volume":2022,"user_id":"37888","title":"Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren","language":[{"iso":"eng"}],"year":"2022","citation":{"ieee":"R. Biehler and B. Griese, “Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren,” mathematik lehren, vol. 2022, no. 232, pp. 2–6, 2022.","short":"R. Biehler, B. Griese, Mathematik Lehren 2022 (2022) 2–6.","mla":"Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht: Annahmen Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren, vol. 2022, no. 232, Friedrich Verlag, 2022, pp. 2–6.","bibtex":"@article{Biehler_Griese_2022, title={Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren}, volume={2022}, number={232}, journal={mathematik lehren}, publisher={Friedrich Verlag}, author={Biehler, Rolf and Griese, Birgit}, year={2022}, pages={2–6} }","chicago":"Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht: Annahmen Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren 2022, no. 232 (2022): 2–6.","apa":"Biehler, R., & Griese, B. (2022). Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren. Mathematik Lehren, 2022(232), 2–6.","ama":"Biehler R, Griese B. Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren. mathematik lehren. 2022;2022(232):2–6."},"type":"journal_article","page":"2–6","date_updated":"2023-01-11T08:50:14Z","_id":"35926","intvolume":" 2022","issue":"232"},{"author":[{"id":"32202","last_name":"Hoffmann","orcid":"0000-0002-6964-7123","full_name":"Hoffmann, Max","first_name":"Max"},{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"}],"publisher":"Springer Spektrum","quality_controlled":"1","department":[{"_id":"97"}],"publication":" Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen ","status":"public","date_created":"2022-05-22T14:16:52Z","editor":[{"full_name":"Halverscheid, Stefan","first_name":"Stefan","last_name":"Halverscheid"},{"first_name":"Ina","full_name":"Kersten, Ina","last_name":"Kersten"},{"last_name":"Schmidt-Thieme","full_name":"Schmidt-Thieme, Barbara","first_name":"Barbara"}],"publication_status":"published","place":"Wiesbaden","user_id":"32202","title":"Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.","language":[{"iso":"ger"}],"type":"conference","citation":{"bibtex":"@inproceedings{Hoffmann_Biehler_2022, place={Wiesbaden}, title={Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.}, booktitle={ Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen }, publisher={Springer Spektrum}, author={Hoffmann, Max and Biehler, Rolf}, editor={Halverscheid, Stefan and Kersten, Ina and Schmidt-Thieme, Barbara}, year={2022}, pages={351–368} }","mla":"Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.” Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited by Stefan Halverscheid et al., Springer Spektrum, 2022, pp. 351–68.","ama":"Hoffmann M, Biehler R. Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie. In: Halverscheid S, Kersten I, Schmidt-Thieme B, eds. Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen . Springer Spektrum; 2022:351-368.","apa":"Hoffmann, M., & Biehler, R. (2022). Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie. In S. Halverscheid, I. Kersten, & B. Schmidt-Thieme (Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen (pp. 351–368). Springer Spektrum.","chicago":"Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.” In Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited by Stefan Halverscheid, Ina Kersten, and Barbara Schmidt-Thieme, 351–68. Wiesbaden: Springer Spektrum, 2022.","ieee":"M. Hoffmann and R. Biehler, “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.,” in Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , 2022, pp. 351–368.","short":"M. Hoffmann, R. Biehler, in: S. Halverscheid, I. Kersten, B. Schmidt-Thieme (Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , Springer Spektrum, Wiesbaden, 2022, pp. 351–368."},"year":"2022","page":"351-368","_id":"31367","date_updated":"2023-01-11T15:28:21Z"},{"doi":"10.1007/978-3-662-63948-1_4","date_updated":"2023-01-11T15:29:09Z","language":[{"iso":"ger"}],"title":"Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium","place":"Berlin, Heidelberg","publication_status":"published","publication_identifier":{"issn":["2197-8751","2197-876X"],"isbn":["9783662639474","9783662639481"]},"editor":[{"last_name":"Isaev","first_name":"Viktor","full_name":"Isaev, Viktor"},{"last_name":"Eichler","first_name":"Andreas","full_name":"Eichler, Andreas"},{"full_name":"Loose, Frank","first_name":"Frank","last_name":"Loose"}],"department":[{"_id":"97"}],"_id":"31365","page":" 49–72","citation":{"ieee":"R. Biehler and M. Hoffmann, “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium,” in Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, 2022, pp. 49–72, doi: 10.1007/978-3-662-63948-1_4.","short":"R. Biehler, M. Hoffmann, in: V. Isaev, A. Eichler, F. Loose (Eds.), Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, Springer, Berlin, Heidelberg, 2022, pp. 49–72.","bibtex":"@inproceedings{Biehler_Hoffmann_2022, place={Berlin, Heidelberg}, title={Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium}, DOI={10.1007/978-3-662-63948-1_4}, booktitle={ Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik}, publisher={Springer}, author={Biehler, Rolf and Hoffmann, Max}, editor={Isaev, Viktor and Eichler, Andreas and Loose, Frank}, year={2022}, pages={49–72} }","mla":"Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.” Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, edited by Viktor Isaev et al., Springer, 2022, pp. 49–72, doi:10.1007/978-3-662-63948-1_4.","chicago":"Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.” In Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, edited by Viktor Isaev, Andreas Eichler, and Frank Loose, 49–72. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-63948-1_4.","ama":"Biehler R, Hoffmann M. Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In: Isaev V, Eichler A, Loose F, eds. Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik. Springer; 2022:49–72. doi:10.1007/978-3-662-63948-1_4","apa":"Biehler, R., & Hoffmann, M. (2022). Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In V. Isaev, A. Eichler, & F. Loose (Eds.), Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik (pp. 49–72). Springer. https://doi.org/10.1007/978-3-662-63948-1_4"},"year":"2022","type":"conference","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4"}],"user_id":"32202","date_created":"2022-05-22T14:03:58Z","status":"public","publication":" Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik","quality_controlled":"1","author":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"id":"32202","last_name":"Hoffmann","full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123","first_name":"Max"}],"publisher":"Springer"},{"date_created":"2023-01-10T09:04:26Z","status":"public","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"},{"_id":"423"}],"author":[{"full_name":"Schürmann, Mirko","orcid":"0000-0003-2646-085X","first_name":"Mirko","id":"59707","last_name":"Schürmann"},{"last_name":"Büdenbender-Kuklinski","first_name":"C.","full_name":"Büdenbender-Kuklinski, C."},{"first_name":"Elisa","full_name":"Lankeit, Elisa","last_name":"Lankeit"},{"last_name":"Liebendörfer","id":"30933","first_name":"Michael","full_name":"Liebendörfer, Michael","orcid":"0000-0001-9887-2074"},{"last_name":"Hochmuth","first_name":"R.","full_name":"Hochmuth, R."},{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"},{"last_name":"Schaper","full_name":"Schaper, N.","first_name":"N."}],"publisher":"LibreCat University","title":"Dokumentation der Erhebungsinstrumente des Projekts WiGeMath","user_id":"14931","type":"research_data","year":"2022","citation":{"ama":"Schürmann M, Büdenbender-Kuklinski C, Lankeit E, et al. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University; 2022. doi:10.17170/KOBRA-202205176188","apa":"Schürmann, M., Büdenbender-Kuklinski, C., Lankeit, E., Liebendörfer, M., Hochmuth, R., Biehler, R., & Schaper, N. (2022). Dokumentation der Erhebungsinstrumente des Projekts WiGeMath. LibreCat University. https://doi.org/10.17170/KOBRA-202205176188","chicago":"Schürmann, Mirko, C. Büdenbender-Kuklinski, Elisa Lankeit, Michael Liebendörfer, R. Hochmuth, Rolf Biehler, and N. Schaper. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University, 2022. https://doi.org/10.17170/KOBRA-202205176188.","bibtex":"@book{Schürmann_Büdenbender-Kuklinski_Lankeit_Liebendörfer_Hochmuth_Biehler_Schaper_2022, title={Dokumentation der Erhebungsinstrumente des Projekts WiGeMath}, DOI={10.17170/KOBRA-202205176188}, publisher={LibreCat University}, author={Schürmann, Mirko and Büdenbender-Kuklinski, C. and Lankeit, Elisa and Liebendörfer, Michael and Hochmuth, R. and Biehler, Rolf and Schaper, N.}, year={2022} }","mla":"Schürmann, Mirko, et al. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University, 2022, doi:10.17170/KOBRA-202205176188.","short":"M. Schürmann, C. Büdenbender-Kuklinski, E. Lankeit, M. Liebendörfer, R. Hochmuth, R. Biehler, N. Schaper, Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath, LibreCat University, 2022.","ieee":"M. Schürmann et al., Dokumentation der Erhebungsinstrumente des Projekts WiGeMath. LibreCat University, 2022."},"doi":"10.17170/KOBRA-202205176188","date_updated":"2023-01-17T23:33:52Z","_id":"35698"},{"_id":"37470","date_updated":"2023-01-18T22:44:06Z","doi":"10.1007/s11858-022-01444-5","year":"2022","type":"journal_article","citation":{"bibtex":"@article{Liebendörfer_Kempen_Schukajlow_2022, title={First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study}, DOI={10.1007/s11858-022-01444-5}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Liebendörfer, Michael and Kempen, Leander and Schukajlow, Stanislaw}, year={2022} }","mla":"Liebendörfer, Michael, et al. “First-Year University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM – Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s11858-022-01444-5.","ama":"Liebendörfer M, Kempen L, Schukajlow S. First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM – Mathematics Education. Published online 2022. doi:10.1007/s11858-022-01444-5","apa":"Liebendörfer, M., Kempen, L., & Schukajlow, S. (2022). First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-022-01444-5","chicago":"Liebendörfer, Michael, Leander Kempen, and Stanislaw Schukajlow. “First-Year University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM – Mathematics Education, 2022. https://doi.org/10.1007/s11858-022-01444-5.","ieee":"M. Liebendörfer, L. Kempen, and S. Schukajlow, “First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study,” ZDM – Mathematics Education, 2022, doi: 10.1007/s11858-022-01444-5.","short":"M. Liebendörfer, L. Kempen, S. Schukajlow, ZDM – Mathematics Education (2022)."},"language":[{"iso":"eng"}],"abstract":[{"text":"AbstractWhen the COVID-19 pandemic began, many universities switched to fully online teaching. This unexpected switching to online teaching was challenging for both teachers and students, and restrictions that were put in place because of pandemic made this challenge even greater. However, new ways of teaching might also open new opportunities for students’ learning. The research question driving our study was as follows: how do students regulate their learning and specifically their choice of resources and peer learning in university mathematics classes that are fully taught online as offered during the COVID-19 pandemic? We report on a longitudinal, qualitative study in which students recorded a brief audio diary twice a week over one whole semester (14 weeks). We focused on three students who completed 70 interviews in total and finished the semester with varying degrees of success. The results show how the students structured their studying (e.g., the roles that deadlines or synchronous teaching events played). They illustrate the strengths and limitations of digital materials provided by the lecturer and the use of complementary media. Further, the pandemic uncovered the double-edged role of simple, often anonymous exchanges (e.g., via Discord servers), with few binding forces for either side, and the significance of stable learning partnerships for students’ success. Our research highlights aspects that should be focal points when comparing traditional instruction and online instruction during the pandemic from a self-regulatory perspective. Practical implications refer to how these aspects can be combined sensibly in fully online courses, but also in blended learning contexts.","lang":"eng"}],"title":"First-year university students' self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study","user_id":"30933","publication":"ZDM – Mathematics Education","keyword":["General Mathematics","Education"],"department":[{"_id":"10"}],"publisher":"Springer Science and Business Media LLC","author":[{"last_name":"Liebendörfer","first_name":"Michael","full_name":"Liebendörfer, Michael"},{"full_name":"Kempen, Leander","first_name":"Leander","last_name":"Kempen"},{"first_name":"Stanislaw","full_name":"Schukajlow, Stanislaw","last_name":"Schukajlow"}],"publication_identifier":{"issn":["1863-9690","1863-9704"]},"publication_status":"published","date_created":"2023-01-18T22:22:25Z","status":"public"},{"user_id":"30933","title":"Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students","abstract":[{"lang":"eng","text":"AbstractAs earlier research results suggest that many mathematics teaching students criticize a missing relevance in their studies, we explore explanations and interrelationships of their relevance assessments. We aim at finding out how one could support the students in attributing relevance to their study programs. A two-fold model for relevance assessments in mathematics teacher education is proposed, consisting of relevance content and relevance reasons. We investigate students' relevance perceptions of mathematical topics and of topics’ complexities, as well as their rating of individual and societal/ vocational relevance reasons, all in relation to their perception of the relevance of their overall program of study. Contrary to earlier research findings, our results suggest that mathematics teaching students already do attribute relevance to many content areas and that a preparation for the teaching profession is not the only reason for them to assign relevance. There also seem to be many students who would attribute relevance if they could develop as individuals and pursue their interests. We suggest that giving students opportunities to set individual priorities in their studies could hence support their relevance assessments. As low relevance assessments seem to be connected to students’ motivational problems, students might profit from motivational support, as well."}],"status":"public","date_created":"2023-01-18T22:22:49Z","publication_identifier":{"issn":["2198-9745","2198-9753"]},"publication_status":"published","publisher":"Springer Science and Business Media LLC","author":[{"first_name":"Christiane","full_name":"Büdenbender-Kuklinski, Christiane","last_name":"Büdenbender-Kuklinski"},{"last_name":"Hochmuth","full_name":"Hochmuth, Reinhard","first_name":"Reinhard"},{"full_name":"Liebendörfer, Michael","first_name":"Michael","last_name":"Liebendörfer"}],"keyword":["Education","Mathematics (miscellaneous)"],"department":[{"_id":"10"}],"publication":"International Journal of Research in Undergraduate Mathematics Education","doi":"10.1007/s40753-022-00188-7","_id":"37472","date_updated":"2023-01-18T22:43:43Z","language":[{"iso":"eng"}],"year":"2022","citation":{"mla":"Büdenbender-Kuklinski, Christiane, et al. “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students.” International Journal of Research in Undergraduate Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s40753-022-00188-7.","bibtex":"@article{Büdenbender-Kuklinski_Hochmuth_Liebendörfer_2022, title={Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students}, DOI={10.1007/s40753-022-00188-7}, journal={International Journal of Research in Undergraduate Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Büdenbender-Kuklinski, Christiane and Hochmuth, Reinhard and Liebendörfer, Michael}, year={2022} }","apa":"Büdenbender-Kuklinski, C., Hochmuth, R., & Liebendörfer, M. (2022). Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students. International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-022-00188-7","ama":"Büdenbender-Kuklinski C, Hochmuth R, Liebendörfer M. Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students. International Journal of Research in Undergraduate Mathematics Education. Published online 2022. doi:10.1007/s40753-022-00188-7","chicago":"Büdenbender-Kuklinski, Christiane, Reinhard Hochmuth, and Michael Liebendörfer. “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students.” International Journal of Research in Undergraduate Mathematics Education, 2022. https://doi.org/10.1007/s40753-022-00188-7.","ieee":"C. Büdenbender-Kuklinski, R. Hochmuth, and M. Liebendörfer, “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students,” International Journal of Research in Undergraduate Mathematics Education, 2022, doi: 10.1007/s40753-022-00188-7.","short":"C. Büdenbender-Kuklinski, R. Hochmuth, M. Liebendörfer, International Journal of Research in Undergraduate Mathematics Education (2022)."},"type":"journal_article"}]