[{"date_updated":"2022-10-21T12:27:16Z","oa":"1","doi":"10.1109/TPAMI.2021.3114962","language":[{"iso":"eng"}],"title":"On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation","department":[{"_id":"101"},{"_id":"530"},{"_id":"655"}],"publication_status":"epub_ahead","intvolume":" 44","_id":"20731","license":"https://creativecommons.org/licenses/by/4.0/","issue":"11","main_file_link":[{"url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9547772","open_access":"1"}],"page":"7797-7808","type":"journal_article","citation":{"short":"K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808.","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.","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","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","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.","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} }"},"year":"2022","abstract":[{"lang":"eng","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."}],"article_type":"original","user_id":"47427","ddc":["510"],"file":[{"file_size":7990831,"file_id":"25040","creator":"speitz","date_updated":"2021-09-25T11:59:15Z","content_type":"application/pdf","relation":"main_file","success":1,"date_created":"2021-09-25T11:59:15Z","file_name":"On_the_Treatment_of_Optimization_Problems_with_L1_Penalty_Terms_via_Multiobjective_Continuation.pdf","access_level":"closed"}],"publication":"IEEE Transactions on Pattern Analysis and Machine Intelligence","file_date_updated":"2021-09-25T11:59:15Z","publisher":"IEEE","author":[{"id":"32829","last_name":"Bieker","full_name":"Bieker, Katharina","first_name":"Katharina"},{"last_name":"Gebken","id":"32643","first_name":"Bennet","full_name":"Gebken, Bennet"},{"id":"47427","last_name":"Peitz","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","first_name":"Sebastian"}],"date_created":"2020-12-15T07:46:36Z","status":"public","has_accepted_license":"1","volume":44},{"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"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00023-021-01121-5","date_updated":"2023-01-06T08:59:03Z","volume":23,"status":"public","date_created":"2022-05-11T10:46:10Z","publisher":"Springer Science and Business Media LLC","author":[{"id":"48880","last_name":"Kolb","full_name":"Kolb, Martin","first_name":"Martin"},{"first_name":"Tobias","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178"},{"last_name":"Wolf","id":"45027","first_name":"Lasse Lennart","full_name":"Wolf, Lasse Lennart"}],"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"publication":"Annales Henri Poincaré","user_id":"49178","abstract":[{"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.","lang":"eng"}],"year":"2022","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","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} }","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."},"type":"journal_article","page":"1283-1296","issue":"4","_id":"31193","intvolume":" 23"},{"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","publication":"Journal of the European Mathematical Society","keyword":["Applied Mathematics","General Mathematics"],"publisher":"European Mathematical Society - EMS - Publishing House GmbH","author":[{"full_name":"Guedes Bonthonneau, Yannick","first_name":"Yannick","last_name":"Guedes Bonthonneau"},{"id":"49178","last_name":"Weich","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias"}],"date_created":"2023-01-05T16:23:34Z","status":"public","volume":24,"user_id":"49178","page":"851-923","year":"2022","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.","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.","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","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} }"},"type":"journal_article","_id":"35306","intvolume":" 24","issue":"3"},{"citation":{"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.","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","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","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.","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.","short":"K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408 (2022)."},"year":"2022","type":"journal_article","_id":"34633","intvolume":" 408","article_number":"114118","publication":"Journal of Computational and Applied Mathematics","keyword":["Applied Mathematics","Computational Mathematics"],"author":[{"id":"42608","last_name":"Hesse","full_name":"Hesse, Kerstin","orcid":"0000-0003-4125-1941","first_name":"Kerstin"},{"first_name":"Quoc Thong","full_name":"Le Gia, Quoc Thong","last_name":"Le Gia"}],"publisher":"Elsevier BV","volume":408,"date_created":"2022-12-20T17:37:16Z","status":"public","user_id":"14931","language":[{"iso":"eng"}],"date_updated":"2023-01-09T08:23:56Z","doi":"10.1016/j.cam.2022.114118","department":[{"_id":"10"}],"publication_status":"published","publication_identifier":{"issn":["0377-0427"]},"title":"L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data"},{"publisher":"International Press of Boston","author":[{"id":"30905","last_name":"Hanusch","full_name":"Hanusch, Maximilian","first_name":"Maximilian"}],"keyword":["regularity of Lie groups"],"publication":"Communications in Analysis and Geometry","volume":30,"status":"public","date_created":"2022-12-22T09:19:43Z","extern":"1","article_type":"original","user_id":"30905","year":"2022","citation":{"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.","short":"M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152.","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} }","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.","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","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."},"type":"journal_article","page":"53-152","intvolume":" 30","_id":"34817","issue":"1","department":[{"_id":"93"}],"publication_identifier":{"issn":["1019-8385","1944-9992"]},"publication_status":"published","title":"Regularity of Lie groups","language":[{"iso":"eng"}],"date_updated":"2023-01-09T18:07:30Z","doi":"10.4310/cag.2022.v30.n1.a2"},{"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."},"year":"2022","type":"working_paper","page":"385","language":[{"iso":"ger"}],"_id":"34856","date_updated":"2023-01-09T18:07:00Z","author":[{"last_name":"Hanusch","id":"30905","first_name":"Maximilian","full_name":"Hanusch, Maximilian"}],"publisher":"https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","department":[{"_id":"93"}],"publication_status":"draft","status":"public","date_created":"2022-12-22T17:06:02Z","title":"Analysis 1 und 2 Skript/Buch","user_id":"30905"},{"publisher":"Society for Industrial and Applied Mathematics","author":[{"id":"48880","last_name":"Kolb","full_name":"Kolb, Martin","first_name":"Martin"},{"full_name":"Klump, Alexander","first_name":"Alexander","id":"45067","last_name":"Klump"}],"department":[{"_id":"96"}],"publication":"Theory of Probability and its Applications","status":"public","date_created":"2023-01-10T08:13:17Z","publication_status":"published","volume":67,"user_id":"85821","title":"Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary","language":[{"iso":"eng"}],"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.","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.","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} }","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.","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.","short":"M. Kolb, A. Klump, Theory of Probability and Its Applications 67 (2022) 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."},"type":"journal_article","year":"2022","page":"717-744","_id":"35644","intvolume":" 67","date_updated":"2023-01-10T08:13:30Z","issue":"4"},{"abstract":[{"lang":"eng","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."}],"title":"On non-extinction in a Fleming-Viot-type particle model with Bessel drift","user_id":"85821","author":[{"full_name":"Kolb, Martin","first_name":"Martin","id":"48880","last_name":"Kolb"},{"last_name":"Liesenfeld","full_name":"Liesenfeld, Matthias","first_name":"Matthias"}],"publisher":"Institute of Mathematical Statistics","publication":"Electronic Journal of Probability","department":[{"_id":"96"}],"publication_status":"published","status":"public","date_created":"2023-01-10T08:19:25Z","date_updated":"2023-01-10T08:19:38Z","_id":"35649","doi":"https://doi.org/10.1214/22-EJP866","issue":"27","type":"journal_article","citation":{"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.","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} }","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","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","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.","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.","short":"M. Kolb, M. Liesenfeld, Electronic Journal of Probability (2022) 1–28."},"year":"2022","page":"1-28","language":[{"iso":"eng"}]},{"type":"journal_article","year":"2022","citation":{"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.","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","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","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.","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} }"},"page":"1-43","language":[{"iso":"eng"}],"date_updated":"2023-01-10T08:29:02Z","_id":"35650","intvolume":" 27","doi":"https://doi.org/10.48550/arXiv.2203.14772","publisher":"Institute of Mathematical Statistics","author":[{"last_name":"Denisov","full_name":"Denisov, Denis","first_name":"Denis"},{"full_name":"Hinrichs, Günter","first_name":"Günter","last_name":"Hinrichs"},{"full_name":"Kolb, Martin","first_name":"Martin","id":"48880","last_name":"Kolb"},{"last_name":"Wachtel","full_name":"Wachtel, Vitali","first_name":"Vitali"}],"department":[{"_id":"96"}],"publication":"Electronic Journal of Probability","volume":27,"publication_status":"published","status":"public","date_created":"2023-01-10T08:28:12Z","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"},{"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","page":"1133-1152","citation":{"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.","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.","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.","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","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","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.","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} }"},"year":"2022","type":"journal_article","_id":"35685","intvolume":" 53","issue":"5","publication":"International Journal of Mathematical Education in Science and Technology","keyword":["Applied Mathematics","Education","Mathematics (miscellaneous)"],"author":[{"first_name":"Michael","orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael","last_name":"Liebendörfer","id":"30933"},{"last_name":"Göller","first_name":"Robin","full_name":"Göller, Robin"},{"last_name":"Gildehaus","full_name":"Gildehaus, Lara","first_name":"Lara"},{"last_name":"Kortemeyer","full_name":"Kortemeyer, Jörg","first_name":"Jörg"},{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"},{"first_name":"Reinhard","full_name":"Hochmuth, Reinhard","last_name":"Hochmuth"},{"last_name":"Ostsieker","first_name":"Laura","full_name":"Ostsieker, Laura"},{"last_name":"Rode","full_name":"Rode, Jana","first_name":"Jana"},{"last_name":"Schaper","full_name":"Schaper, Niclas","first_name":"Niclas"}],"publisher":"Informa UK Limited","date_created":"2023-01-10T08:56:30Z","status":"public","volume":53,"user_id":"37888"},{"publisher":"Friedrich Verlag","author":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"last_name":"Langlotz","full_name":"Langlotz, Hubert","first_name":"Hubert"},{"full_name":"Zappe, Wilfried","first_name":"Wilfried","last_name":"Zappe"}],"publication":"mathematik lehren","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"status":"public","date_created":"2023-01-10T09:25:23Z","volume":2022,"user_id":"37888","title":"Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln","language":[{"iso":"eng"}],"year":"2022","citation":{"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.","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} }","ama":"Biehler R, Langlotz H, Zappe W. Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln. mathematik lehren. 2022;2022(232):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.","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.","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."},"type":"journal_article","page":"41–45","intvolume":" 2022","_id":"35718","date_updated":"2023-01-11T08:02:49Z","issue":"232"},{"_id":"35696","date_updated":"2023-01-11T08:07:52Z","doi":"10.52041/iase.icots11.t4b2","language":[{"iso":"eng"}],"year":"2022","type":"book_chapter","citation":{"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.","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","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","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.","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} }","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."},"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","publisher":"International Association for Statistical Education","author":[{"last_name":"Nieszporek","id":"59608","first_name":"Ralf","full_name":"Nieszporek, Ralf"},{"first_name":"Birgit","full_name":"Griese, Birgit","last_name":"Griese"},{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication":"Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics","status":"public","date_created":"2023-01-10T09:01:02Z","editor":[{"first_name":"S. A.","full_name":"Peters, S. A.","last_name":"Peters"},{"last_name":"Zapata-Cardona","full_name":"Zapata-Cardona, L.","first_name":"L."},{"last_name":"Bonafini","first_name":"F.","full_name":"Bonafini, F."},{"last_name":"Fan","first_name":"A.","full_name":"Fan, A."}],"publication_status":"published"},{"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"}],"publisher":"International Association for Statistical Education","author":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"}],"date_created":"2022-12-23T11:09:52Z","status":"public","publication_status":"published","editor":[{"first_name":"S. A.","full_name":"Peters, S. A.","last_name":"Peters"},{"full_name":"Zapata-Cardona, L.","first_name":"L.","last_name":"Zapata-Cardona"},{"last_name":"Bonafini","full_name":"Bonafini, F.","first_name":"F."},{"first_name":"A.","full_name":"Fan, A.","last_name":"Fan"}],"abstract":[{"lang":"eng","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."}],"user_id":"37888","title":"Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications","language":[{"iso":"eng"}],"citation":{"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.","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","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.","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."},"type":"conference","year":"2022","_id":"34919","date_updated":"2023-01-11T08:45:02Z","doi":"10.52041/iase.icots11.t1a2"},{"issue":"2","article_number":"1","intvolume":" 21","_id":"34920","year":"2022","type":"journal_article","citation":{"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.","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","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","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.","short":"R. Biehler, R. De Veaux, J. Engel, S. Kazak, D. Frischemeier, Statistics Education Research Journal 21 (2022).","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."},"user_id":"37888","abstract":[{"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.","lang":"eng"}],"status":"public","date_created":"2022-12-23T11:20:39Z","volume":21,"publisher":"International Association for Statistical Education","author":[{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"first_name":"Richard","full_name":"De Veaux, Richard","last_name":"De Veaux"},{"first_name":"Joachim","full_name":"Engel, Joachim","last_name":"Engel"},{"last_name":"Kazak","full_name":"Kazak, Sibel","first_name":"Sibel"},{"last_name":"Frischemeier","full_name":"Frischemeier, Daniel","first_name":"Daniel"}],"publication":"Statistics Education Research Journal","keyword":["Education","Statistics and Probability"],"doi":"10.52041/serj.v21i2.606","date_updated":"2023-01-11T08:46:32Z","language":[{"iso":"eng"}],"title":"Editorial: Research on Data Science Education","publication_identifier":{"issn":["1570-1824"]},"publication_status":"published","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}]},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication":"mathematik lehren","author":[{"id":"16274","last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"},{"full_name":"Griese, Birgit","first_name":"Birgit","last_name":"Griese"}],"publisher":"Friedrich Verlag","date_created":"2023-01-11T08:49:12Z","status":"public","volume":2022,"user_id":"37888","title":"Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren","language":[{"iso":"eng"}],"page":"2–6","year":"2022","citation":{"short":"R. Biehler, B. Griese, Mathematik Lehren 2022 (2022) 2–6.","ieee":"R. Biehler and B. Griese, “Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren,” mathematik lehren, vol. 2022, no. 232, pp. 2–6, 2022.","chicago":"Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht: Annahmen Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren 2022, no. 232 (2022): 2–6.","ama":"Biehler R, Griese B. Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren. mathematik lehren. 2022;2022(232):2–6.","apa":"Biehler, R., & Griese, B. (2022). Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren. Mathematik Lehren, 2022(232), 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} }"},"type":"journal_article","intvolume":" 2022","_id":"35926","date_updated":"2023-01-11T08:50:14Z","issue":"232"},{"title":"Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.","user_id":"32202","place":"Wiesbaden","editor":[{"first_name":"Stefan","full_name":"Halverscheid, Stefan","last_name":"Halverscheid"},{"last_name":"Kersten","first_name":"Ina","full_name":"Kersten, Ina"},{"last_name":"Schmidt-Thieme","full_name":"Schmidt-Thieme, Barbara","first_name":"Barbara"}],"publication_status":"published","status":"public","date_created":"2022-05-22T14:16:52Z","author":[{"full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123","first_name":"Max","id":"32202","last_name":"Hoffmann"},{"id":"16274","last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"}],"publisher":"Springer Spektrum","quality_controlled":"1","department":[{"_id":"97"}],"publication":" Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen ","date_updated":"2023-01-11T15:28:21Z","_id":"31367","citation":{"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.","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.","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.","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.","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."},"type":"conference","year":"2022","page":"351-368","language":[{"iso":"ger"}]},{"citation":{"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.","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","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","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.","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} }","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.","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."},"type":"conference","year":"2022","page":" 49–72","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4"}],"_id":"31365","status":"public","date_created":"2022-05-22T14:03:58Z","author":[{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"orcid":"0000-0002-6964-7123","full_name":"Hoffmann, Max","first_name":"Max","id":"32202","last_name":"Hoffmann"}],"quality_controlled":"1","publisher":"Springer","publication":" Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik","user_id":"32202","language":[{"iso":"ger"}],"doi":"10.1007/978-3-662-63948-1_4","date_updated":"2023-01-11T15:29:09Z","editor":[{"last_name":"Isaev","full_name":"Isaev, Viktor","first_name":"Viktor"},{"last_name":"Eichler","first_name":"Andreas","full_name":"Eichler, Andreas"},{"full_name":"Loose, Frank","first_name":"Frank","last_name":"Loose"}],"publication_identifier":{"isbn":["9783662639474","9783662639481"],"issn":["2197-8751","2197-876X"]},"publication_status":"published","department":[{"_id":"97"}],"title":"Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium","place":"Berlin, Heidelberg"},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"},{"_id":"423"}],"publisher":"LibreCat University","author":[{"id":"59707","last_name":"Schürmann","full_name":"Schürmann, Mirko","orcid":"0000-0003-2646-085X","first_name":"Mirko"},{"first_name":"C.","full_name":"Büdenbender-Kuklinski, C.","last_name":"Büdenbender-Kuklinski"},{"last_name":"Lankeit","full_name":"Lankeit, Elisa","first_name":"Elisa"},{"orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael","first_name":"Michael","id":"30933","last_name":"Liebendörfer"},{"last_name":"Hochmuth","first_name":"R.","full_name":"Hochmuth, R."},{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"last_name":"Schaper","first_name":"N.","full_name":"Schaper, N."}],"date_created":"2023-01-10T09:04:26Z","status":"public","user_id":"14931","title":"Dokumentation der Erhebungsinstrumente des Projekts WiGeMath","citation":{"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.","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.","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","mla":"Schürmann, Mirko, et al. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University, 2022, doi: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} }"},"year":"2022","type":"research_data","date_updated":"2023-01-17T23:33:52Z","_id":"35698","doi":"10.17170/KOBRA-202205176188"},{"publication_identifier":{"issn":["1863-9690","1863-9704"]},"publication_status":"published","status":"public","date_created":"2023-01-18T22:22:25Z","publisher":"Springer Science and Business Media LLC","author":[{"last_name":"Liebendörfer","first_name":"Michael","full_name":"Liebendörfer, Michael"},{"last_name":"Kempen","full_name":"Kempen, Leander","first_name":"Leander"},{"last_name":"Schukajlow","full_name":"Schukajlow, Stanislaw","first_name":"Stanislaw"}],"keyword":["General Mathematics","Education"],"publication":"ZDM – Mathematics Education","department":[{"_id":"10"}],"title":"First-year university students' self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study","user_id":"30933","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"}],"year":"2022","type":"journal_article","citation":{"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.","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} }","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.","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","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"}],"doi":"10.1007/s11858-022-01444-5","_id":"37470","date_updated":"2023-01-18T22:44:06Z"},{"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."}],"title":"Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students","user_id":"30933","publisher":"Springer Science and Business Media LLC","author":[{"last_name":"Büdenbender-Kuklinski","first_name":"Christiane","full_name":"Büdenbender-Kuklinski, Christiane"},{"first_name":"Reinhard","full_name":"Hochmuth, Reinhard","last_name":"Hochmuth"},{"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","publication_status":"published","publication_identifier":{"issn":["2198-9745","2198-9753"]},"status":"public","date_created":"2023-01-18T22:22:49Z","_id":"37472","date_updated":"2023-01-18T22:43:43Z","doi":"10.1007/s40753-022-00188-7","year":"2022","citation":{"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.","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","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} }","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.","short":"C. Büdenbender-Kuklinski, R. Hochmuth, M. Liebendörfer, International Journal of Research in Undergraduate Mathematics Education (2022).","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."},"type":"journal_article","language":[{"iso":"eng"}]},{"article_number":"108","_id":"35577","intvolume":" 61","date_updated":"2023-01-20T13:17:28Z","language":[{"iso":"eng"}],"citation":{"mla":"Winkler, Michael. “Stabilization of Arbitrary Structures in a Doubly Degenerate Reaction-Diffusion System Modeling Bacterial Motion on a Nutrient-Poor Agar.” Calculus of Variations and Partial Differential Equations, vol. 61, 108, 2022.","bibtex":"@article{Winkler_2022, title={Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.}, volume={61}, number={108}, journal={Calculus of Variations and Partial Differential Equations}, author={Winkler, Michael}, year={2022} }","ama":"Winkler M. Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations and Partial Differential Equations. 2022;61.","apa":"Winkler, M. (2022). Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations and Partial Differential Equations, 61, Article 108.","chicago":"Winkler, Michael. “Stabilization of Arbitrary Structures in a Doubly Degenerate Reaction-Diffusion System Modeling Bacterial Motion on a Nutrient-Poor Agar.” Calculus of Variations and Partial Differential Equations 61 (2022).","ieee":"M. Winkler, “Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.,” Calculus of Variations and Partial Differential Equations, vol. 61, Art. no. 108, 2022.","short":"M. Winkler, Calculus of Variations and Partial Differential Equations 61 (2022)."},"type":"journal_article","year":"2022","user_id":"15645","title":"Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.","status":"public","date_created":"2023-01-09T16:38:12Z","volume":61,"author":[{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"}],"publication":"Calculus of Variations and Partial Differential Equations","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}]},{"language":[{"iso":"eng"}],"page":"88-117","citation":{"ama":"Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22:88-117.","apa":"Winkler, M. (2022). Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies, 22, 88–117.","chicago":"Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures Involving Multiplicative Couplings.” Advanced Nonlinear Studies 22 (2022): 88–117.","bibtex":"@article{Winkler_2022, title={Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.}, volume={22}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2022}, pages={88–117} }","mla":"Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures Involving Multiplicative Couplings.” Advanced Nonlinear Studies, vol. 22, 2022, pp. 88–117.","short":"M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.","ieee":"M. Winkler, “Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.,” Advanced Nonlinear Studies, vol. 22, pp. 88–117, 2022."},"type":"journal_article","year":"2022","intvolume":" 22","_id":"35599","date_updated":"2023-01-20T13:17:08Z","date_created":"2023-01-09T17:15:07Z","status":"public","volume":22,"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Advanced Nonlinear Studies","author":[{"last_name":"Winkler","id":"31496","first_name":"Michael","full_name":"Winkler, Michael"}],"user_id":"15645","title":"Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings."},{"title":"Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.","user_id":"15645","volume":63,"date_created":"2023-01-09T17:03:24Z","status":"public","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Nonlinear Analysis: Real World Applications","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"article_number":"103407","_id":"35597","intvolume":" 63","date_updated":"2023-01-20T13:17:16Z","type":"journal_article","citation":{"short":"M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022).","ieee":"M. Winkler, “Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.,” Nonlinear Analysis: Real World Applications, vol. 63, Art. no. 103407, 2022.","chicago":"Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications 63 (2022).","ama":"Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2022;63.","apa":"Winkler, M. (2022). Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications, 63, Article 103407.","mla":"Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications, vol. 63, 103407, 2022.","bibtex":"@article{Winkler_2022, title={Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.}, volume={63}, number={103407}, journal={Nonlinear Analysis: Real World Applications}, author={Winkler, Michael}, year={2022} }"},"year":"2022","language":[{"iso":"eng"}]},{"date_created":"2023-01-09T17:10:38Z","status":"public","volume":295,"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Mathematische Nachrichten","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"user_id":"15645","title":"A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients.","language":[{"iso":"eng"}],"page":"1840-1862","type":"journal_article","citation":{"bibtex":"@article{Winkler_2022, title={A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients.}, volume={295}, journal={Mathematische Nachrichten}, author={Winkler, Michael}, year={2022}, pages={1840–1862} }","mla":"Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten, vol. 295, 2022, pp. 1840–62.","chicago":"Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten 295 (2022): 1840–62.","ama":"Winkler M. A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients. Mathematische Nachrichten. 2022;295:1840-1862.","apa":"Winkler, M. (2022). A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients. Mathematische Nachrichten, 295, 1840–1862.","ieee":"M. Winkler, “A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients.,” Mathematische Nachrichten, vol. 295, pp. 1840–1862, 2022.","short":"M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862."},"year":"2022","intvolume":" 295","_id":"35598","date_updated":"2023-01-20T13:17:12Z"},{"article_number":"47","date_updated":"2023-01-20T13:17:04Z","_id":"35600","intvolume":" 3","language":[{"iso":"eng"}],"citation":{"bibtex":"@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic equation.}, volume={3}, number={47}, journal={Partial Differential Equations and Applications}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications, vol. 3, 47, 2022.","chicago":"Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications 3 (2022).","apa":"Winkler, M. (2022). Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications, 3, Article 47.","ama":"Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications. 2022;3.","ieee":"M. Winkler, “Oscillatory decay in a degenerate parabolic equation.,” Partial Differential Equations and Applications, vol. 3, Art. no. 47, 2022.","short":"M. Winkler, Partial Differential Equations and Applications 3 (2022)."},"type":"journal_article","year":"2022","user_id":"15645","title":"Oscillatory decay in a degenerate parabolic equation.","status":"public","date_created":"2023-01-09T17:21:36Z","volume":3,"author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Partial Differential Equations and Applications"},{"intvolume":" 7","_id":"35582","date_updated":"2023-01-20T13:17:20Z","language":[{"iso":"eng"}],"page":"1437-1465","year":"2022","type":"journal_article","citation":{"ieee":"M. Winkler, “A critical blow-up exponent for flux limitation in a Keller-Segel system,” Indiana University Mathematics Journal, vol. 7, pp. 1437–1465, 2022.","short":"M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465.","bibtex":"@article{Winkler_2022, title={A critical blow-up exponent for flux limitation in a Keller-Segel system}, volume={7}, journal={Indiana University Mathematics Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }","mla":"Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal, vol. 7, 2022, pp. 1437–65.","chicago":"Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal 7 (2022): 1437–65.","apa":"Winkler, M. (2022). A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal, 7, 1437–1465.","ama":"Winkler M. A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal. 2022;7:1437-1465."},"user_id":"15645","title":"A critical blow-up exponent for flux limitation in a Keller-Segel system","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Indiana University Mathematics Journal","author":[{"last_name":"Winkler","id":"31496","first_name":"Michael","full_name":"Winkler, Michael"}],"date_created":"2023-01-09T16:49:13Z","status":"public","volume":7},{"user_id":"15645","title":"Unlimited growth in logarithmic Keller-Segel systems","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Journal of Differential Equations","author":[{"last_name":"Winkler","id":"31496","first_name":"Michael","full_name":"Winkler, Michael"}],"date_created":"2023-01-09T16:51:32Z","status":"public","volume":309,"_id":"35590","date_updated":"2023-01-20T13:17:24Z","intvolume":" 309","language":[{"iso":"eng"}],"page":"74-97","year":"2022","citation":{"short":"M. Winkler, Journal of Differential Equations 309 (2022) 74–97.","ieee":"M. Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” Journal of Differential Equations, vol. 309, pp. 74–97, 2022.","chicago":"Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations 309 (2022): 74–97.","ama":"Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2022;309:74-97.","apa":"Winkler, M. (2022). Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations, 309, 74–97.","mla":"Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations, vol. 309, 2022, pp. 74–97.","bibtex":"@article{Winkler_2022, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, journal={Journal of Differential Equations}, author={Winkler, Michael}, year={2022}, pages={74–97} }"},"type":"journal_article"},{"title":"Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary","user_id":"15645","volume":35,"date_created":"2023-01-09T15:33:38Z","status":"public","publication":"Nonlinearity","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"author":[{"last_name":"Lankeit","first_name":"Johannes","full_name":"Lankeit, Johannes"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"_id":"35528","date_updated":"2023-01-20T13:18:15Z","intvolume":" 35","page":"719-749","year":"2022","type":"journal_article","citation":{"apa":"Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity, 35, 719–749.","ama":"Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.","chicago":"Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity 35 (2022): 719–49.","mla":"Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity, vol. 35, 2022, pp. 719–49.","bibtex":"@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }","short":"J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.","ieee":"J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary,” Nonlinearity, vol. 35, pp. 719–749, 2022."},"language":[{"iso":"eng"}]},{"status":"public","date_created":"2023-01-09T16:32:21Z","volume":389,"author":[{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Communications in Mathematical Physics","user_id":"15645","title":"Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.","language":[{"iso":"eng"}],"year":"2022","citation":{"bibtex":"@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }","mla":"Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp. 439–89.","chicago":"Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.","ama":"Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.","apa":"Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics, 389, 439–489.","ieee":"M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.,” Communications in Mathematical Physics, vol. 389, pp. 439–489, 2022.","short":"M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489."},"type":"journal_article","page":"439-489","_id":"35568","intvolume":" 389","date_updated":"2023-01-20T13:17:37Z"},{"volume":124,"status":"public","date_created":"2023-01-09T16:35:09Z","author":[{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"}],"publication":"Proceedings of the London Mathematical Society","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"title":"A family of mass-critical Keller-Segel systems.","user_id":"15645","type":"journal_article","year":"2022","citation":{"apa":"Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society, 124, 133–181.","ama":"Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181.","chicago":"Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society 124 (2022): 133–81.","mla":"Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society, vol. 124, 2022, pp. 133–81.","bibtex":"@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }","short":"M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.","ieee":"M. Winkler, “A family of mass-critical Keller-Segel systems.,” Proceedings of the London Mathematical Society, vol. 124, pp. 133–181, 2022."},"page":"133-181","language":[{"iso":"eng"}],"intvolume":" 124","_id":"35574","date_updated":"2023-01-20T13:17:33Z"},{"page":"137-173","type":"journal_article","citation":{"chicago":"Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences 32, no. 01 (2022): 137–73. https://doi.org/10.1142/s021820252250004x.","apa":"Black, T., & Winkler, M. (2022). Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences, 32(01), 137–173. https://doi.org/10.1142/s021820252250004x","ama":"Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences. 2022;32(01):137-173. doi:10.1142/s021820252250004x","mla":"Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 01, World Scientific Pub Co Pte Ltd, 2022, pp. 137–73, doi:10.1142/s021820252250004x.","bibtex":"@article{Black_Winkler_2022, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2022}, pages={137–173} }","short":"T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.","ieee":"T. Black and M. Winkler, “Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 01, pp. 137–173, 2022, doi: 10.1142/s021820252250004x."},"year":"2022","_id":"34676","intvolume":" 32","issue":"01","publication":"Mathematical Models and Methods in Applied Sciences","keyword":["Applied Mathematics","Modeling and Simulation"],"publisher":"World Scientific Pub Co Pte Ltd","author":[{"first_name":"Tobias","orcid":"0000-0001-9963-0800","full_name":"Black, Tobias","last_name":"Black","id":"23686"},{"last_name":"Winkler","id":"31496","first_name":"Michael","full_name":"Winkler, Michael"}],"date_created":"2022-12-21T09:50:03Z","status":"public","volume":32,"abstract":[{"text":" An initial-boundary value problem for a coupled chemotaxis-Navier–Stokes model with porous medium type diffusion is considered. Previous related literature has provided profound knowledge in cases when the system is augmented with no-flux/no-flux/no-slip boundary conditions for the density of cells, the chemical concentration and the fluid velocity field, respectively; in particular, available qualitative results strongly indicate that only trivial solution behavior can be expected on large time scales. In line with refined modeling approaches to oxygen evolution near fluid-air interfaces, this study now focuses on situations involving a fixed chemoattractant concentration on the boundary. Despite an apparent loss of mathematically favorable energy structures thereby induced, by means of an alternative variational approach a basic theory of global existence is developed in a natural framework of weak solvability. Beyond this, some additional qualitative information on the large time behavior of these solutions is derived by identifying a certain global relaxation property. Specifically, a second result asserts, within a suitable topological setting, the existence of a bounded set which eventually absorbs each individual of the obtained trajectories, and the diameter of which is bounded only by the physically relevant quantities of total population size and prescribed boundary concentration of the chemical signal. 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Liebendörfer et al., “Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.","short":"M. Liebendörfer, A. Profeta, S. Krämer, S. Schlüter, S. Becher, R. Biehler, T. Mai, A. Schmitz, in: 2022.","bibtex":"@inproceedings{Liebendörfer_Profeta_Krämer_Schlüter_Becher_Biehler_Mai_Schmitz_2022, title={Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation}, author={Liebendörfer, Michael and Profeta, Angelo and Krämer, Sandra and Schlüter, Sarah and Becher, Silvia and Biehler, Rolf and Mai, Tobias and Schmitz, Angela}, year={2022} }","mla":"Liebendörfer, Michael, et al. Enriching Videos with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and Implementation. 2022.","ama":"Liebendörfer M, Profeta A, Krämer S, et al. Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation. In: ; 2022.","apa":"Liebendörfer, M., Profeta, A., Krämer, S., Schlüter, S., Becher, S., Biehler, R., Mai, T., & Schmitz, A. (2022). Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy.","chicago":"Liebendörfer, Michael, Angelo Profeta, Sandra Krämer, Sarah Schlüter, Silvia Becher, Rolf Biehler, Tobias Mai, and Angela Schmitz. “Enriching Videos with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and Implementation,” 2022."},"year":"2022","_id":"39062","date_updated":"2023-01-24T08:57:15Z","conference":{"end_date":"2022-02-06","name":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","start_date":"2022-02-02","location":"Bozen-Bolzano, Italy"}},{"title":"Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability","related_material":{"link":[{"url":"https://hal.science/hal-03746264","relation":"confirmation"}]},"user_id":"37888","author":[{"full_name":"Griese, Birgit","first_name":"Birgit","last_name":"Griese"},{"id":"59608","last_name":"Nieszporek","full_name":"Nieszporek, Ralf","first_name":"Ralf"},{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"status":"public","date_created":"2023-01-24T08:49:24Z","date_updated":"2023-01-24T08:57:18Z","_id":"39058","conference":{"name":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","start_date":"2022-02-02","location":"Bozen-Bolzano, Italy","end_date":"2022-02-06"},"citation":{"apa":"Griese, B., Nieszporek, R., & Biehler, R. (2022). Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy.","ama":"Griese B, Nieszporek R, Biehler R. Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability. In: ; 2022.","chicago":"Griese, Birgit, Ralf Nieszporek, and Rolf Biehler. “Facilitators’ Views on Content Goals, Learning Obstacles, and Teaching Resources in Reference to Conditional Probability,” 2022.","mla":"Griese, Birgit, et al. Facilitators’ Views on Content Goals, Learning Obstacles, and Teaching Resources in Reference to Conditional Probability. 2022.","bibtex":"@inproceedings{Griese_Nieszporek_Biehler_2022, title={Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability}, author={Griese, Birgit and Nieszporek, Ralf and Biehler, Rolf}, year={2022} }","short":"B. Griese, R. Nieszporek, R. Biehler, in: 2022.","ieee":"B. Griese, R. Nieszporek, and R. Biehler, “Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022."},"type":"conference","year":"2022","language":[{"iso":"eng"}]},{"status":"public","date_created":"2023-01-24T08:55:09Z","author":[{"first_name":"Susanne","full_name":"Podworny, Susanne","last_name":"Podworny"},{"last_name":"Fleischer","full_name":"Fleischer, Yannik","first_name":"Yannik"},{"last_name":"Stroop","full_name":"Stroop, Dietlinde","first_name":"Dietlinde"},{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"user_id":"37888","related_material":{"link":[{"relation":"confirmation","url":"https://hal.archives-ouvertes.fr/hal-03751842"}]},"title":"An example of rich, real and multivariate survey data for use in school","language":[{"iso":"eng"}],"year":"2022","citation":{"ieee":"S. Podworny, Y. Fleischer, D. Stroop, and R. Biehler, “An example of rich, real and multivariate survey data for use in school,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.","short":"S. Podworny, Y. Fleischer, D. Stroop, R. Biehler, in: 2022.","bibtex":"@inproceedings{Podworny_Fleischer_Stroop_Biehler_2022, title={An example of rich, real and multivariate survey data for use in school}, author={Podworny, Susanne and Fleischer, Yannik and Stroop, Dietlinde and Biehler, Rolf}, year={2022} }","mla":"Podworny, Susanne, et al. An Example of Rich, Real and Multivariate Survey Data for Use in School. 2022.","ama":"Podworny S, Fleischer Y, Stroop D, Biehler R. An example of rich, real and multivariate survey data for use in school. In: ; 2022.","apa":"Podworny, S., Fleischer, Y., Stroop, D., & Biehler, R. (2022). An example of rich, real and multivariate survey data for use in school. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy.","chicago":"Podworny, Susanne, Yannik Fleischer, Dietlinde Stroop, and Rolf Biehler. “An Example of Rich, Real and Multivariate Survey Data for Use in School,” 2022."},"type":"conference","_id":"39064","date_updated":"2023-01-24T08:57:12Z","conference":{"location":"Bozen-Bolzano, Italy","name":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","start_date":"2022-02-02","end_date":"2022-02-06"}},{"type":"journal_article","citation":{"chicago":"Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems 42 (2022): 5201–22.","apa":"Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems, 42, 5201–5222.","ama":"Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.","bibtex":"@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }","mla":"Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22.","short":"K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222.","ieee":"K. Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.,” Discrete and Continuous Dynamical Systems, vol. 42, pp. 5201–5222, 2022."},"year":"2022","page":"5201-5222","language":[{"iso":"eng"}],"intvolume":" 42","_id":"35483","date_updated":"2023-01-21T09:30:47Z","volume":42,"status":"public","date_created":"2023-01-09T13:02:46Z","author":[{"last_name":" Kang","full_name":" Kang, Kyungkeun","first_name":"Kyungkeun"},{"first_name":"Jihoon","full_name":"Lee, Jihoon","last_name":"Lee"},{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"}],"publication":"Discrete and Continuous Dynamical Systems","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"title":"Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.","user_id":"15645"},{"language":[{"iso":"eng"}],"type":"journal_article","citation":{"mla":"Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780, 2022, pp. 243–62, doi:10.48550/ARXIV.2108.03228.","bibtex":"@article{Rösler_Voit_2022, title={Elementary symmetric polynomials and martingales for Heckman-Opdam processes}, DOI={10.48550/ARXIV.2108.03228}, number={780}, journal={Contemporary Mathematics}, author={Rösler, Margit and Voit, Michael}, year={2022}, pages={243–262} }","apa":"Rösler, M., & Voit, M. (2022). Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics, 780, 243–262. https://doi.org/10.48550/ARXIV.2108.03228","ama":"Rösler M, Voit M. Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics. 2022;(780):243-262. doi:10.48550/ARXIV.2108.03228","chicago":"Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780 (2022): 243–62. https://doi.org/10.48550/ARXIV.2108.03228.","ieee":"M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales for Heckman-Opdam processes,” Contemporary Mathematics, no. 780, pp. 243–262, 2022, doi: 10.48550/ARXIV.2108.03228.","short":"M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262."},"year":"2022","page":"243-262","date_updated":"2023-01-24T22:16:21Z","_id":"38039","conference":{"name":"Hypergeometry, integrability and Lie theory"},"issue":"780","doi":"10.48550/ARXIV.2108.03228","author":[{"id":"37390","last_name":"Rösler","full_name":"Rösler, Margit","first_name":"Margit"},{"last_name":"Voit","full_name":"Voit, Michael","first_name":"Michael"}],"publication":"Contemporary Mathematics","department":[{"_id":"555"}],"status":"public","date_created":"2023-01-23T08:31:27Z","publication_status":"published","abstract":[{"text":"We consider the generators $L_k$ of Heckman-Opdam diffusion processes in the compact and non-compact case in $N$ dimensions for root systems of type $A$ and $B$, with a multiplicity function of the form $k=κk_0$ with some fixed value $k_0$ and a varying constant $κ\\in\\,[0,\\infty[$. Using elementary symmetric functions, we present polynomials which are simultaneous eigenfunctions of the $L_k$ for all $κ\\in\\,]0,\\infty[$. This leads to martingales associated with the Heckman-Opdam diffusions $ (X_{t,1},\\ldots,X_{t,N})_{t\\ge0}$. As our results extend to the freezing case $κ=\\infty$ with a deterministic limit after some renormalization, we find formulas for the expectations $\\mathbb E(\\prod_{j=1}^N(y-X_{t,j})),$ $y\\in\\mathbb C$.","lang":"eng"}],"user_id":"37390","title":"Elementary symmetric polynomials and martingales for Heckman-Opdam processes"},{"language":[{"iso":"eng"}],"type":"conference","year":"2022","citation":{"ieee":"U. Häsel-Weide and M. Nührenbörger, “Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education,” in Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022, pp. 1–8.","short":"U. Häsel-Weide, M. Nührenbörger, in: J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022, pp. 1–8.","mla":"Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary School. Twelfth Congress of the European Society for Research in Mathematics Education.” Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen et al., 2022, pp. 1–8.","bibtex":"@inproceedings{Häsel-Weide_Nührenbörger_2022, title={Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education}, booktitle={Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F. and Free University of Bozen-Bolzano and ERME}, year={2022}, pages={1–8} }","apa":"Häsel-Weide, U., & Nührenbörger, M. (2022). Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education. In J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, & Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) (pp. 1–8).","ama":"Häsel-Weide U, Nührenbörger M. Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education. In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, Free University of Bozen-Bolzano and ERME, eds. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022:1-8.","chicago":"Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary School. Twelfth Congress of the European Society for Research in Mathematics Education.” In Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, and Free University of Bozen-Bolzano and ERME, 1–8, 2022."},"page":"1-8","main_file_link":[{"url":"⟨hal-03745438⟩"}],"corporate_editor":["Free University of Bozen-Bolzano and ERME"],"date_updated":"2023-01-26T11:09:02Z","_id":"40312","status":"public","date_created":"2023-01-26T11:06:50Z","editor":[{"last_name":"Hodgen","full_name":"Hodgen, J.","first_name":"J."},{"full_name":"Geraniou, E.","first_name":"E.","last_name":"Geraniou"},{"full_name":"Bolondi, G.","first_name":"G.","last_name":"Bolondi"},{"full_name":"Ferretti, F.","first_name":"F.","last_name":"Ferretti"}],"author":[{"first_name":"Uta","full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","id":"60267"},{"first_name":"M.","full_name":"Nührenbörger, M.","last_name":"Nührenbörger"}],"publication":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","department":[{"_id":"543"},{"_id":"98"}],"user_id":"44184","title":"Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education"},{"type":"conference","year":"2022","citation":{"ama":"Fleischer Y, Hüsing S, Biehler R, Podworny S, Schulte C. Jupyter Notebooks for Teaching, Learning, and Doing Data Science. 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.t10e3","apa":"Fleischer, Y., Hüsing, S., Biehler, R., Podworny, S., & Schulte, C. (2022). Jupyter Notebooks for Teaching, Learning, and Doing Data Science. 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.t10e3","chicago":"Fleischer, Yannik, Sven Hüsing, Rolf Biehler, Susanne Podworny, and Carsten Schulte. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” 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.t10e3.","mla":"Fleischer, Yannik, et al. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” 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.t10e3.","bibtex":"@inproceedings{Fleischer_Hüsing_Biehler_Podworny_Schulte_2022, title={Jupyter Notebooks for Teaching, Learning, and Doing Data Science}, DOI={10.52041/iase.icots11.t10e3}, 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={Fleischer, Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }","short":"Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, C. Schulte, 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":"Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter Notebooks for Teaching, Learning, and Doing Data Science,” 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.t10e3."},"language":[{"iso":"eng"}],"doi":"10.52041/iase.icots11.t10e3","date_updated":"2023-01-30T12:09:59Z","_id":"35674","publication_status":"published","editor":[{"first_name":"S. A.","full_name":"Peters, S. A.","last_name":"Peters"},{"first_name":"L.","full_name":"Zapata-Cardona, L.","last_name":"Zapata-Cardona"},{"last_name":"Bonafini","full_name":"Bonafini, F.","first_name":"F."},{"last_name":"Fan","full_name":"Fan, A.","first_name":"A."}],"date_created":"2023-01-10T08:50:47Z","status":"public","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"},{"_id":"67"}],"publication":"Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics","author":[{"first_name":"Yannik","full_name":"Fleischer, Yannik","last_name":"Fleischer"},{"full_name":"Hüsing, Sven","first_name":"Sven","id":"58465","last_name":"Hüsing"},{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"last_name":"Podworny","first_name":"Susanne","full_name":"Podworny, Susanne"},{"full_name":"Schulte, Carsten","first_name":"Carsten","id":"60311","last_name":"Schulte"}],"publisher":"International Association for Statistical Education","title":"Jupyter Notebooks for Teaching, Learning, and Doing Data Science","user_id":"58465","abstract":[{"lang":"eng","text":"We report on our work with students in our data science courses, focusing on the analysis of students’ results. This study represents an in-depth analysis of students’ creation and documentation of machine learning models. The students were supported by educationally designed Jupyter Notebooks, which are used as worked examples. Using the worked example, students document their results in a so-called computational essay. We examine which aspects of creating computational essays are difficult for students to find out how worked examples should be designed to support students without being too prescriptive. We analyze the computational essays produced by students and draw consequences for redesigning our worked example."}]},{"volume":21,"status":"public","date_created":"2023-01-10T08:48:23Z","publisher":"International Association for Statistical Education","author":[{"last_name":"Fleischer","full_name":"Fleischer, Yannik","first_name":"Yannik"},{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"id":"60311","last_name":"Schulte","full_name":"Schulte, Carsten","first_name":"Carsten"}],"publication":"Statistics Education Research Journal","keyword":["Education","Statistics and Probability"],"user_id":"60311","abstract":[{"lang":"eng","text":"This study examines modelling with machine learning. In the context of a yearlong data science course, the study explores how upper secondary students apply machine learning with Jupyter Notebooks and document the modelling process as a computational essay incorporating the different steps of the CRISP-DM cycle. The students’ work is based on a teaching module about decision trees in machine learning and a worked example of such a modelling process. The study outlines the students’ performance in carrying out the machine learning technically and reasoning about bias in the data, different data preparation steps, the application context, and the resulting decision model. Furthermore, the context of the study and the theoretical backgrounds are presented."}],"year":"2022","citation":{"bibtex":"@article{Fleischer_Biehler_Schulte_2022, title={Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks}, volume={21}, DOI={10.52041/serj.v21i2.61}, number={27}, journal={Statistics Education Research Journal}, publisher={International Association for Statistical Education}, author={Fleischer, Yannik and Biehler, Rolf and Schulte, Carsten}, year={2022} }","mla":"Fleischer, Yannik, et al. “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics Education Research Journal, vol. 21, no. 2, 7, International Association for Statistical Education, 2022, doi:10.52041/serj.v21i2.61.","chicago":"Fleischer, Yannik, Rolf Biehler, and Carsten Schulte. “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics Education Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.61.","apa":"Fleischer, Y., Biehler, R., & Schulte, C. (2022). Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics Education Research Journal, 21(2), Article 7. https://doi.org/10.52041/serj.v21i2.61","ama":"Fleischer Y, Biehler R, Schulte C. Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics Education Research Journal. 2022;21(2). doi:10.52041/serj.v21i2.61","ieee":"Y. Fleischer, R. Biehler, and C. Schulte, “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 7, 2022, doi: 10.52041/serj.v21i2.61.","short":"Y. Fleischer, R. Biehler, C. Schulte, Statistics Education Research Journal 21 (2022)."},"type":"journal_article","article_number":"7","issue":"2","intvolume":" 21","_id":"35672","publication_status":"published","publication_identifier":{"issn":["1570-1824"]},"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"},{"_id":"67"}],"title":"Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks","language":[{"iso":"eng"}],"doi":"10.52041/serj.v21i2.61","date_updated":"2023-01-30T12:52:57Z"},{"_id":"35479","date_updated":"2023-02-01T10:05:54Z","intvolume":" 32","page":"713-792","year":"2022","type":"journal_article","citation":{"short":"N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models & Methods in Applied Sciences 32 (2022) 713–792.","ieee":"N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.,” Mathematical Models & Methods in Applied Sciences, vol. 32, pp. 713–792, 2022.","chicago":"Bellomo, Nicolas, Nisrine Outada, Juan Soler, Youshan Tao, and Michael Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences 32 (2022): 713–92.","apa":"Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences, 32, 713–792.","ama":"Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences. 2022;32:713-792.","mla":"Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences, vol. 32, 2022, pp. 713–92.","bibtex":"@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.}, volume={32}, journal={Mathematical Models & Methods in Applied Sciences}, author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan and Winkler, Michael}, year={2022}, pages={713–792} }"},"language":[{"iso":"eng"}],"title":"Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.","user_id":"15645","volume":32,"date_created":"2023-01-09T12:42:07Z","status":"public","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Mathematical Models & Methods in Applied Sciences","author":[{"full_name":"Bellomo, Nicolas","first_name":"Nicolas","last_name":"Bellomo"},{"first_name":"Nisrine","full_name":"Outada, Nisrine","last_name":"Outada"},{"full_name":"Soler, Juan","first_name":"Juan","last_name":"Soler"},{"last_name":"Tao","first_name":"Youshan","full_name":"Tao, Youshan"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}]},{"language":[{"iso":"eng"}],"type":"journal_article","citation":{"ieee":"J. Lankeit and M. Winkler, “Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.,” Journal of Evolution Equations, vol. 22, Art. no. 14, 2022.","bibtex":"@article{Lankeit_Winkler_2022, title={Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.}, volume={22}, number={14}, journal={Journal of Evolution Equations}, author={Lankeit, Johannes and Winkler, Michael}, year={2022} }","mla":"Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva Effects.” Journal of Evolution Equations, vol. 22, 14, 2022.","apa":"Lankeit, J., & Winkler, M. (2022). Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations, 22, Article 14.","ama":"Lankeit J, Winkler M. Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations. 2022;22.","short":"J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).","chicago":"Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva Effects.” Journal of Evolution Equations 22 (2022)."},"year":"2022","article_number":"14","date_updated":"2023-02-01T10:07:44Z","_id":"35530","intvolume":" 22","status":"public","date_created":"2023-01-09T15:37:36Z","volume":22,"author":[{"first_name":"Johannes","full_name":"Lankeit, Johannes","last_name":"Lankeit"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"publication":"Journal of Evolution Equations","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"15645","title":"Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects."},{"date_created":"2023-01-09T12:45:23Z","status":"public","volume":162,"publication":"Journal de Mathématiques Pures et Appliquées","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"author":[{"full_name":"Fuhrmann, Jan","first_name":"Jan","last_name":"Fuhrmann"},{"full_name":"Lankeit, Johannes","first_name":"Johannes","last_name":"Lankeit"},{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"}],"user_id":"15645","title":"A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.","language":[{"iso":"eng"}],"page":"124-151","year":"2022","type":"journal_article","citation":{"ieee":"J. Fuhrmann, J. Lankeit, and M. Winkler, “A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.,” Journal de Mathématiques Pures et Appliquées, vol. 162, pp. 124–151, 2022.","short":"J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151.","mla":"Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol. 162, 2022, pp. 124–51.","bibtex":"@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={124–151} }","chicago":"Fuhrmann, Jan, Johannes Lankeit, and Michael Winkler. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées 162 (2022): 124–51.","ama":"Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.","apa":"Fuhrmann, J., Lankeit, J., & Winkler, M. (2022). A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées, 162, 124–151."},"_id":"35481","date_updated":"2023-02-01T09:57:48Z","intvolume":" 162"},{"user_id":"15645","title":"A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Acta Mathematica Sinica (English Series)","author":[{"full_name":"Wang, Yulan","first_name":"Yulan","last_name":"Wang"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"},{"first_name":"Zhaoyin","full_name":"Xiang, Zhaoyin","last_name":"Xiang"}],"date_created":"2023-01-09T16:25:05Z","status":"public","volume":38,"_id":"35565","date_updated":"2023-02-01T10:32:20Z","intvolume":" 38","language":[{"iso":"eng"}],"page":"985-1001","type":"journal_article","citation":{"bibtex":"@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica (English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={985–1001} }","mla":"Wang, Yulan, et al. “A Smallness Condition Ensuring Boundedness in a Two-Dimensional Chemotaxis-Navier-Stokes System Involving Dirichlet Boundary Conditions for the Signal.” Acta Mathematica Sinica (English Series), vol. 38, 2022, pp. 985–1001.","ama":"Wang Y, Winkler M, Xiang Z. A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series). 2022;38:985-1001.","apa":"Wang, Y., Winkler, M., & Xiang, Z. (2022). A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series), 38, 985–1001.","chicago":"Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “A Smallness Condition Ensuring Boundedness in a Two-Dimensional Chemotaxis-Navier-Stokes System Involving Dirichlet Boundary Conditions for the Signal.” Acta Mathematica Sinica (English Series) 38 (2022): 985–1001.","ieee":"Y. Wang, M. Winkler, and Z. Xiang, “A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.,” Acta Mathematica Sinica (English Series), vol. 38, pp. 985–1001, 2022.","short":"Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 985–1001."},"year":"2022"},{"author":[{"full_name":"Wang, Yulan","first_name":"Yulan","last_name":"Wang"},{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"},{"last_name":"Xiang","first_name":"Zhaoyin","full_name":"Xiang, Zhaoyin"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Analysis and Applications","status":"public","date_created":"2023-01-09T16:21:59Z","volume":20,"user_id":"15645","title":"Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.","language":[{"iso":"eng"}],"type":"journal_article","year":"2022","citation":{"mla":"Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications, vol. 20, 2022, pp. 141–70.","bibtex":"@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.}, volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }","chicago":"Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications 20 (2022): 141–70.","ama":"Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications. 2022;20:141-170.","apa":"Wang, Y., Winkler, M., & Xiang, Z. (2022). Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications, 20, 141–170.","ieee":"Y. Wang, M. Winkler, and Z. Xiang, “Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.,” Analysis and Applications, vol. 20, pp. 141–170, 2022.","short":"Y. Wang, M. Winkler, Z. 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As a result of these, we give a method\r\nto compute Chow groups of such orders and show that there are infinitely many\r\nnumber fields which contain orders with trivial Chow groups.","lang":"eng"}],"external_id":{"arxiv":["2208.14688"]},"date_created":"2023-03-02T09:09:11Z","status":"public","publication":"arXiv:2208.14688","department":[{"_id":"102"}],"author":[{"first_name":"Markus","full_name":"Kirschmer, Markus","last_name":"Kirschmer"},{"full_name":"Klüners, Jürgen","first_name":"Jürgen","id":"21202","last_name":"Klüners"}],"_id":"42647","date_updated":"2023-03-02T09:10:55Z","language":[{"iso":"eng"}],"citation":{"mla":"Kirschmer, Markus, and Jürgen Klüners. “Chow Groups of Orders in Number Fields.” ArXiv:2208.14688, 2022.","bibtex":"@article{Kirschmer_Klüners_2022, title={Chow groups of orders in number fields}, journal={arXiv:2208.14688}, author={Kirschmer, Markus and Klüners, Jürgen}, year={2022} }","ama":"Kirschmer M, Klüners J. Chow groups of orders in number fields. arXiv:220814688. Published online 2022.","apa":"Kirschmer, M., & Klüners, J. (2022). Chow groups of orders in number fields. In arXiv:2208.14688.","chicago":"Kirschmer, Markus, and Jürgen Klüners. “Chow Groups of Orders in Number Fields.” ArXiv:2208.14688, 2022.","ieee":"M. Kirschmer and J. Klüners, “Chow groups of orders in number fields,” arXiv:2208.14688. 2022.","short":"M. Kirschmer, J. Klüners, ArXiv:2208.14688 (2022)."},"year":"2022","type":"preprint"},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication_identifier":{"isbn":["9783662648322","9783662648339"],"issn":["2197-8751","2197-876X"]},"publication_status":"published","editor":[{"first_name":"Reinhard","full_name":"Hochmuth, Reinhard","last_name":"Hochmuth"},{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"},{"last_name":"Liebendörfer","first_name":"Michael","full_name":"Liebendörfer, Michael"},{"last_name":"Schaper","full_name":"Schaper, Niclas","first_name":"Niclas"}],"place":"Berlin, Heidelberg","title":"Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik","language":[{"iso":"ger"}],"date_updated":"2023-03-02T10:54:24Z","oa":"1","doi":"10.1007/978-3-662-64833-9_2","publication":"Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse","author":[{"id":"30933","last_name":"Liebendörfer","orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael","first_name":"Michael"},{"last_name":"Hochmuth","first_name":"Reinhard","full_name":"Hochmuth, Reinhard"},{"id":"16274","last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"},{"full_name":"Schaper, Niclas","first_name":"Niclas","last_name":"Schaper"},{"last_name":"Büdenbender-Kuklinski","full_name":"Büdenbender-Kuklinski, Christiane","first_name":"Christiane"},{"last_name":"Lankeit","first_name":"Elisa","full_name":"Lankeit, Elisa"},{"full_name":"Ruge, Johanna","first_name":"Johanna","last_name":"Ruge"},{"id":"59707","last_name":"Schürmann","full_name":"Schürmann, Mirko","orcid":"0000-0003-2646-085X","first_name":"Mirko"}],"publisher":"Springer","date_created":"2023-03-02T10:47:45Z","status":"public","user_id":"37888","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/978-3-662-64833-9_2"}],"page":"33-65","citation":{"ieee":"M. Liebendörfer et al., “Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer, 2022, pp. 33–65.","short":"M. Liebendörfer, R. Hochmuth, R. Biehler, N. Schaper, C. Büdenbender-Kuklinski, E. Lankeit, J. Ruge, M. Schürmann, in: R. Hochmuth, R. Biehler, M. Liebendörfer, N. Schaper (Eds.), Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, Springer, Berlin, Heidelberg, 2022, pp. 33–65.","mla":"Liebendörfer, Michael, et al. “Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik.” Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, edited by Reinhard Hochmuth et al., Springer, 2022, pp. 33–65, doi:10.1007/978-3-662-64833-9_2.","bibtex":"@inbook{Liebendörfer_Hochmuth_Biehler_Schaper_Büdenbender-Kuklinski_Lankeit_Ruge_Schürmann_2022, place={Berlin, Heidelberg}, title={Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik}, DOI={10.1007/978-3-662-64833-9_2}, booktitle={Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse}, publisher={Springer}, author={Liebendörfer, Michael and Hochmuth, Reinhard and Biehler, Rolf and Schaper, Niclas and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Ruge, Johanna and Schürmann, Mirko}, editor={Hochmuth, Reinhard and Biehler, Rolf and Liebendörfer, Michael and Schaper, Niclas}, year={2022}, pages={33–65} }","ama":"Liebendörfer M, Hochmuth R, Biehler R, et al. Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik. In: Hochmuth R, Biehler R, Liebendörfer M, Schaper N, eds. Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Springer; 2022:33-65. doi:10.1007/978-3-662-64833-9_2","apa":"Liebendörfer, M., Hochmuth, R., Biehler, R., Schaper, N., Büdenbender-Kuklinski, C., Lankeit, E., Ruge, J., & Schürmann, M. (2022). Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik. In R. Hochmuth, R. Biehler, M. Liebendörfer, & N. Schaper (Eds.), Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse (pp. 33–65). Springer. https://doi.org/10.1007/978-3-662-64833-9_2","chicago":"Liebendörfer, Michael, Reinhard Hochmuth, Rolf Biehler, Niclas Schaper, Christiane Büdenbender-Kuklinski, Elisa Lankeit, Johanna Ruge, and Mirko Schürmann. “Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik.” In Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, edited by Reinhard Hochmuth, Rolf Biehler, Michael Liebendörfer, and Niclas Schaper, 33–65. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-64833-9_2."},"type":"book_chapter","year":"2022","_id":"42654"},{"_id":"34839","intvolume":" 150","issue":"7","page":"2793-2805","citation":{"mla":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” Proceedings of the American Mathematical Society, vol. 150, no. 7, American Mathematical Society (AMS), 2022, pp. 2793–805, doi:10.1090/proc/15882.","bibtex":"@article{Klüners_Wang_2022, title={ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group}, volume={150}, DOI={10.1090/proc/15882}, number={7}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Wang, Jiuya}, year={2022}, pages={2793–2805} }","ama":"Klüners J, Wang J. ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. 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Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805."},"year":"2022","type":"journal_article","abstract":[{"text":"We describe the relations among the ℓ-torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjecture. We prove that the latter two conjectures are equivalent in some sense. Altogether, the three conjectures are equivalent for the class of solvable groups. We then prove the ℓ-torsion conjecture for ℓ-groups and the other two conjectures for nilpotent groups.","lang":"eng"}],"user_id":"93826","keyword":["Applied Mathematics","General Mathematics"],"publication":"Proceedings of the American Mathematical Society","author":[{"id":"21202","last_name":"Klüners","full_name":"Klüners, Jürgen","first_name":"Jürgen"},{"full_name":"Wang, Jiuya","first_name":"Jiuya","last_name":"Wang"}],"publisher":"American Mathematical Society (AMS)","volume":150,"date_created":"2022-12-22T10:47:01Z","status":"public","date_updated":"2023-03-06T08:47:42Z","doi":"10.1090/proc/15882","language":[{"iso":"eng"}],"external_id":{"arxiv":["2003.12161 "]},"title":"ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group","department":[{"_id":"102"}],"publication_identifier":{"issn":["0002-9939","1088-6826"]},"publication_status":"published"},{"page":"165-184","year":"2022","type":"journal_article","citation":{"ama":"Klüners J. 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In particular, we give a new proof of Căldăraru's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover, we derive necessary and sufficient condition for two reduced non–commutative curves to be Morita equivalent."}],"citation":{"bibtex":"@article{Burban_Drozd_2022, title={Morita theory for non-commutative noetherian schemes}, volume={399}, DOI={10.1016/j.aim.2022.108273}, number={108273}, journal={Advances in Mathematics}, author={Burban, Igor and Drozd, Yu.}, year={2022} }","mla":"Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” Advances in Mathematics, vol. 399, 108273, 2022, doi:10.1016/j.aim.2022.108273.","apa":"Burban, I., & Drozd, Yu. (2022). Morita theory for non-commutative noetherian schemes. Advances in Mathematics, 399, Article 108273. https://doi.org/10.1016/j.aim.2022.108273","ama":"Burban I, Drozd Yu. Morita theory for non-commutative noetherian schemes. 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Drozd, Advances in Mathematics 399 (2022)."},"year":"2022","type":"journal_article","language":[{"iso":"eng"}],"article_number":"108273","doi":"10.1016/j.aim.2022.108273","date_updated":"2023-05-07T01:35:27Z","_id":"44328","intvolume":" 399"},{"department":[{"_id":"602"}],"author":[{"first_name":"Igor","full_name":"Burban, Igor","last_name":"Burban","id":"72064"},{"last_name":"Alfes-Neumann","first_name":"C.","full_name":"Alfes-Neumann, C."},{"full_name":"Raum, M.","first_name":"M.","last_name":"Raum"}],"date_created":"2023-05-07T00:54:50Z","status":"public","publication_status":"published","user_id":"49063","title":"A classification of polyharmonic Maa forms via quiver representations","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2207.02278"}],"language":[{"iso":"eng"}],"type":"preprint","year":"2022","citation":{"chicago":"Burban, Igor, C. Alfes-Neumann, and M. 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Peruzzi, Journal of Geometry and Physics 176 (2022).","bibtex":"@article{Burban_Peruzzi_2022, title={On elliptic solutions of the associative Yang-Baxter equation}, volume={176}, number={104499}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Peruzzi, A.}, year={2022} }","mla":"Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” Journal of Geometry and Physics, vol. 176, 104499, 2022.","chicago":"Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” Journal of Geometry and Physics 176 (2022).","apa":"Burban, I., & Peruzzi, A. (2022). On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics, 176, Article 104499.","ama":"Burban I, Peruzzi A. On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics. 2022;176."},"year":"2022","language":[{"iso":"eng"}],"_id":"44327","intvolume":" 176","date_updated":"2023-05-07T01:41:35Z","article_number":"104499"},{"language":[{"iso":"eng"}],"citation":{"chicago":"Faulwasser, Timm, Kathrin Flaßkamp, Sina Ober-Blöbaum, Manuel Schaller, and Karl Worthmann. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems 34 (2022): 759–88.","ama":"Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Schaller M, Worthmann K. Manifold turnpikes, trims, and symmetries. Mathematics of Control, Signals, and Systems. 2022;34:759-788.","apa":"Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., Schaller, M., & Worthmann, K. (2022). Manifold turnpikes, trims, and symmetries. Mathematics of Control, Signals, and Systems, 34, 759–788.","mla":"Faulwasser, Timm, et al. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems, vol. 34, Springer, 2022, pp. 759–88.","bibtex":"@article{Faulwasser_Flaßkamp_Ober-Blöbaum_Schaller_Worthmann_2022, title={Manifold turnpikes, trims, and symmetries}, volume={34}, journal={Mathematics of Control, Signals, and Systems}, publisher={Springer}, author={Faulwasser, Timm and Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Schaller, Manuel and Worthmann, Karl}, year={2022}, pages={759–788} }","short":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788.","ieee":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” Mathematics of Control, Signals, and Systems, vol. 34, pp. 759–788, 2022."},"type":"journal_article","year":"2022","page":"759-788","_id":"44624","date_updated":"2023-05-08T09:04:26Z","intvolume":" 34","status":"public","date_created":"2023-05-08T09:04:06Z","volume":34,"publisher":"Springer","author":[{"first_name":"Timm","full_name":"Faulwasser, Timm","last_name":"Faulwasser"},{"last_name":"Flaßkamp","first_name":"Kathrin","full_name":"Flaßkamp, Kathrin"},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","id":"16494","last_name":"Ober-Blöbaum"},{"full_name":"Schaller, Manuel","first_name":"Manuel","last_name":"Schaller"},{"last_name":"Worthmann","first_name":"Karl","full_name":"Worthmann, Karl"}],"publication":"Mathematics of Control, Signals, and Systems","department":[{"_id":"636"}],"user_id":"15694","title":"Manifold turnpikes, trims, and symmetries"},{"language":[{"iso":"eng"}],"citation":{"ieee":"C. Cappello and E. Steffen, “Symmetric Set Coloring of Signed Graphs,” Annals of Combinatorics, 2022, doi: 10.1007/s00026-022-00593-4.","short":"C. Cappello, E. Steffen, Annals of Combinatorics (2022).","bibtex":"@article{Cappello_Steffen_2022, title={Symmetric Set Coloring of Signed Graphs}, DOI={10.1007/s00026-022-00593-4}, journal={Annals of Combinatorics}, publisher={Springer Science and Business Media LLC}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022} }","mla":"Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” Annals of Combinatorics, Springer Science and Business Media LLC, 2022, doi:10.1007/s00026-022-00593-4.","chicago":"Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” Annals of Combinatorics, 2022. https://doi.org/10.1007/s00026-022-00593-4.","apa":"Cappello, C., & Steffen, E. (2022). Symmetric Set Coloring of Signed Graphs. Annals of Combinatorics. https://doi.org/10.1007/s00026-022-00593-4","ama":"Cappello C, Steffen E. Symmetric Set Coloring of Signed Graphs. Annals of Combinatorics. Published online 2022. doi:10.1007/s00026-022-00593-4"},"type":"journal_article","year":"2022","_id":"33741","date_updated":"2023-05-16T10:37:58Z","doi":"10.1007/s00026-022-00593-4","keyword":["Discrete Mathematics and Combinatorics"],"department":[{"_id":"542"}],"publication":"Annals of Combinatorics","publisher":"Springer Science and Business Media LLC","author":[{"full_name":"Cappello, Chiara","first_name":"Chiara","id":"72874","last_name":"Cappello"},{"id":"15548","last_name":"Steffen","full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401","first_name":"Eckhard"}],"date_created":"2022-10-17T07:54:41Z","status":"public","publication_identifier":{"issn":["0218-0006","0219-3094"]},"publication_status":"published","abstract":[{"lang":"eng","text":"There are many concepts of signed graph coloring which are defined by assigning colors to the vertices of the graphs. These concepts usually differ in the number of self-inverse colors used. We introduce a unifying concept for this kind of coloring by assigning elements from symmetric sets to the vertices of the signed graphs. In the first part of the paper, we study colorings with elements from symmetric sets where the number of self-inverse elements is fixed. We prove a Brooks’-type theorem and upper bounds for the corresponding chromatic numbers in terms of the chromatic number of the underlying graph. These results are used in the second part where we introduce the symset-chromatic number χsym(G,σ) of a signed graph (G,σ). We show that the symset-chromatic number gives the minimum partition of a signed graph into independent sets and non-bipartite antibalanced subgraphs. In particular, χsym(G,σ)≤χ(G). In the final section we show that these colorings can also be formalized as DP-colorings."}],"external_id":{"arxiv":["2106.05928"]},"user_id":"15540","title":"Symmetric Set Coloring of Signed Graphs"},{"user_id":"15540","volume":322,"date_created":"2022-10-28T06:51:31Z","status":"public","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"publication":"Discrete Applied Mathematics","publisher":"Elsevier BV","author":[{"last_name":"Cappello","id":"72874","first_name":"Chiara","full_name":"Cappello, Chiara"},{"last_name":"Steffen","id":"15548","first_name":"Eckhard","full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401"}],"_id":"33950","intvolume":" 322","page":"183-193","year":"2022","type":"journal_article","citation":{"ama":"Cappello C, Steffen E. Frustration-critical signed graphs. Discrete Applied Mathematics. 2022;322:183-193. doi:10.1016/j.dam.2022.08.010","apa":"Cappello, C., & Steffen, E. (2022). Frustration-critical signed graphs. Discrete Applied Mathematics, 322, 183–193. https://doi.org/10.1016/j.dam.2022.08.010","chicago":"Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” Discrete Applied Mathematics 322 (2022): 183–93. https://doi.org/10.1016/j.dam.2022.08.010.","bibtex":"@article{Cappello_Steffen_2022, title={Frustration-critical signed graphs}, volume={322}, DOI={10.1016/j.dam.2022.08.010}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022}, pages={183–193} }","mla":"Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” Discrete Applied Mathematics, vol. 322, Elsevier BV, 2022, pp. 183–93, doi:10.1016/j.dam.2022.08.010.","short":"C. Cappello, E. Steffen, Discrete Applied Mathematics 322 (2022) 183–193.","ieee":"C. Cappello and E. Steffen, “Frustration-critical signed graphs,” Discrete Applied Mathematics, vol. 322, pp. 183–193, 2022, doi: 10.1016/j.dam.2022.08.010."},"title":"Frustration-critical signed graphs","external_id":{"arxiv":["2112.02664"]},"publication_identifier":{"issn":["0166-218X"]},"publication_status":"published","department":[{"_id":"542"}],"doi":"10.1016/j.dam.2022.08.010","date_updated":"2023-05-16T10:36:51Z","language":[{"iso":"eng"}]},{"date_created":"2023-06-20T18:27:40Z","status":"public","publication_status":"published","department":[{"_id":"97"},{"_id":"611"}],"publication":"Beiträge zum Mathematikunterricht 2022","author":[{"id":"72183","last_name":"Bruns","full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864","first_name":"Julia"},{"first_name":"D.","full_name":"Reuter, D.","last_name":"Reuter"}],"publisher":"WTM-Verlag","user_id":"49063","title":"„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?","language":[{"iso":"ger"}],"type":"conference","year":"2022","citation":{"ama":"Bruns J, Reuter D. „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? In: Beiträge zum Mathematikunterricht 2022. WTM-Verlag; 2022.","apa":"Bruns, J., & Reuter, D. (2022). „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? Beiträge zum Mathematikunterricht 2022.","chicago":"Bruns, Julia, and D. Reuter. “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?” In Beiträge zum Mathematikunterricht 2022. WTM-Verlag, 2022.","mla":"Bruns, Julia, and D. Reuter. “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?” Beiträge zum Mathematikunterricht 2022, WTM-Verlag, 2022.","bibtex":"@inproceedings{Bruns_Reuter_2022, title={„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?}, booktitle={Beiträge zum Mathematikunterricht 2022}, publisher={WTM-Verlag}, author={Bruns, Julia and Reuter, D.}, year={2022} }","short":"J. Bruns, D. Reuter, in: Beiträge zum Mathematikunterricht 2022, WTM-Verlag, 2022.","ieee":"J. Bruns and D. Reuter, “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?,” 2022."},"_id":"45679","date_updated":"2023-06-20T18:27:55Z"},{"title":"Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education","user_id":"49063","author":[{"first_name":"Julia","full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns","id":"72183"},{"first_name":"M.","full_name":"Hagena, M.","last_name":"Hagena"},{"full_name":"Gasteiger, H.","first_name":"H.","last_name":"Gasteiger"}],"department":[{"_id":"97"},{"_id":"611"}],"publication":"Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","editor":[{"last_name":"Hodgen","full_name":"Hodgen, J.","first_name":"J."},{"first_name":"E.","full_name":"Geraniou, E.","last_name":"Geraniou"},{"full_name":"Bolondi, G.","first_name":"G.","last_name":"Bolondi"},{"first_name":"F.","full_name":"Ferretti, F.","last_name":"Ferretti"}],"publication_status":"published","status":"public","date_created":"2023-06-20T18:26:19Z","date_updated":"2023-06-20T19:06:39Z","_id":"45678","conference":{"name":"Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","location":"Free University of Bozen-Bolzano and ERME"},"year":"2022","citation":{"ama":"Bruns J, Hagena M, Gasteiger H. Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education. In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, eds. Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022.","apa":"Bruns, J., Hagena, M., & Gasteiger, H. (2022). Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education. In J. Hodgen, E. Geraniou, G. Bolondi, & F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12).","chicago":"Bruns, Julia, M. Hagena, and H. Gasteiger. “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education.” In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, and F. Ferretti, 2022.","bibtex":"@inproceedings{Bruns_Hagena_Gasteiger_2022, title={Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education}, booktitle={Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Bruns, Julia and Hagena, M. and Gasteiger, H.}, editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F.}, year={2022} }","mla":"Bruns, Julia, et al. “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education.” Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen et al., 2022.","short":"J. Bruns, M. Hagena, H. Gasteiger, in: J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","ieee":"J. Bruns, M. Hagena, and H. Gasteiger, “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education,” in Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Free University of Bozen-Bolzano and ERME, 2022."},"type":"conference","language":[{"iso":"eng"}]},{"language":[{"iso":"ger"}],"citation":{"ieee":"J. Bruns, W. Langer, and J. Erhorn, “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht,” German Journal of Exercise and Sport Research, vol. 52, no. 3, pp. 386–397, 2022, doi: 10.1007/s12662-022-00807-0.","bibtex":"@article{Bruns_Langer_Erhorn_2022, title={Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht}, volume={52}, DOI={10.1007/s12662-022-00807-0}, number={3}, journal={German Journal of Exercise and Sport Research}, author={Bruns, Julia and Langer, W. and Erhorn, J.}, year={2022}, pages={386–397} }","mla":"Bruns, Julia, et al. “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht.” German Journal of Exercise and Sport Research, vol. 52, no. 3, 2022, pp. 386–397, doi:10.1007/s12662-022-00807-0.","short":"J. Bruns, W. Langer, J. Erhorn, German Journal of Exercise and Sport Research 52 (2022) 386–397.","ama":"Bruns J, Langer W, Erhorn J. Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht. German Journal of Exercise and Sport Research. 2022;52(3):386–397. doi:10.1007/s12662-022-00807-0","apa":"Bruns, J., Langer, W., & Erhorn, J. (2022). Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht. German Journal of Exercise and Sport Research, 52(3), 386–397. https://doi.org/10.1007/s12662-022-00807-0","chicago":"Bruns, Julia, W. Langer, and J. Erhorn. “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht.” German Journal of Exercise and Sport Research 52, no. 3 (2022): 386–397. https://doi.org/10.1007/s12662-022-00807-0."},"year":"2022","type":"journal_article","page":"386–397","date_updated":"2023-06-20T19:06:58Z","_id":"45677","intvolume":" 52","issue":"3","doi":"10.1007/s12662-022-00807-0","author":[{"id":"72183","last_name":"Bruns","full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864","first_name":"Julia"},{"first_name":"W.","full_name":"Langer, W.","last_name":"Langer"},{"first_name":"J.","full_name":"Erhorn, J.","last_name":"Erhorn"}],"department":[{"_id":"97"},{"_id":"611"}],"publication":"German Journal of Exercise and Sport Research","status":"public","date_created":"2023-06-20T18:22:54Z","volume":52,"publication_status":"published","user_id":"49063","title":"Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht"},{"language":[{"iso":"eng"}],"doi":"10.1007/s12662-022-00807-0","date_updated":"2023-06-20T19:10:42Z","publication_status":"published","publication_identifier":{"eissn":["2509-3150"],"issn":["2509-3142"]},"department":[{"_id":"97"},{"_id":"611"}],"isi":"1","title":"Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education","external_id":{"isi":["000788945100004"]},"citation":{"ama":"Langer W, Bruns J, Erhorn J. Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education. German Journal of Exercise and Sport Research. 2022;52(3):386-397. doi:10.1007/s12662-022-00807-0","apa":"Langer, W., Bruns, J., & Erhorn, J. (2022). Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education. German Journal of Exercise and Sport Research, 52(3), 386–397. https://doi.org/10.1007/s12662-022-00807-0","chicago":"Langer, Wiebke, Julia Bruns, and Jan Erhorn. “Development and Validation of a Video-Based Test Instrument to Measure Noticing with Regard to Processes Ofrecognition in Inclusive Physical Education.” German Journal of Exercise and Sport Research 52, no. 3 (2022): 386–97. https://doi.org/10.1007/s12662-022-00807-0.","bibtex":"@article{Langer_Bruns_Erhorn_2022, title={Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education}, volume={52}, DOI={10.1007/s12662-022-00807-0}, number={3}, journal={German Journal of Exercise and Sport Research}, publisher={Springer}, author={Langer, Wiebke and Bruns, Julia and Erhorn, Jan}, year={2022}, pages={386–397} }","mla":"Langer, Wiebke, et al. “Development and Validation of a Video-Based Test Instrument to Measure Noticing with Regard to Processes Ofrecognition in Inclusive Physical Education.” German Journal of Exercise and Sport Research, vol. 52, no. 3, Springer, 2022, pp. 386–97, doi:10.1007/s12662-022-00807-0.","short":"W. Langer, J. Bruns, J. Erhorn, German Journal of Exercise and Sport Research 52 (2022) 386–397.","ieee":"W. Langer, J. Bruns, and J. Erhorn, “Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education,” German Journal of Exercise and Sport Research, vol. 52, no. 3, pp. 386–397, 2022, doi: 10.1007/s12662-022-00807-0."},"type":"journal_article","year":"2022","page":"386-397","issue":"3","_id":"34820","intvolume":" 52","volume":52,"status":"public","date_created":"2022-12-22T09:22:45Z","publisher":"Springer","author":[{"first_name":"Wiebke","full_name":"Langer, Wiebke","last_name":"Langer"},{"first_name":"Julia","full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns","id":"72183"},{"first_name":"Jan","full_name":"Erhorn, Jan","last_name":"Erhorn"}],"quality_controlled":"1","keyword":["Physical education teacher education","Competence modelling and","measurement","Inclusive physical education","Video-based items","Noticing"],"publication":"German Journal of Exercise and Sport Research","user_id":"49063","article_type":"original","abstract":[{"lang":"eng","text":"The construct of noticing is considered to be of crucial importance for professional action of (prospective) physical education (PE) teachers in the context of (inclusive) PE. In order to implement the demands of inclusive PE teaching, noticingwith regard to processes of recognition proves to be particularly significant. Due to the relevance of physicality, the design of recognition relationships that encourage pupils' development results in specific requirements for the selective attention and the theory-based interpretation of processes of recognition and disregard in complex teaching situations. This facet of competence has hardly been studied so far, partly due to the lack of instruments for standardised assessment of this construct. In the context of this paper, the development and validation of a standardised, video vignette-based test instrument for the measurement of noticingwith regard to processes of recognition of prospective PE teachers is presented. The validation focuses on the content of the test and the internal structure of the instrument as well as on correlations with related constructs in terms of content. The results from three consecutive validation studies provide indications of the reliability and validity of the test score interpretation of the instrument ViProQiS_A. The findings so far indicate that the standardised measurement of noticingwith regard to processes of recognitionin inclusive PE could be realized on the basis of the test instrument developed here."}]},{"language":[{"iso":"ger"}],"doi":"10.1007/s11618-022-01122-y","date_updated":"2023-06-20T19:10:11Z","publication_status":"published","publication_identifier":{"issn":["1434-663X"],"eissn":["1862-5215"]},"department":[{"_id":"611"},{"_id":"97"}],"isi":"1","title":"Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft","external_id":{"isi":["000852117800001"]},"page":"1455–1480","citation":{"ieee":"M. Hagena, J. Bruns, and H. Gasteiger, “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft,” Zeitschrift für Erziehungswissenschaft, vol. 25, no. 6, pp. 1455–1480, 2022, doi: 10.1007/s11618-022-01122-y.","short":"M. Hagena, J. Bruns, H. Gasteiger, Zeitschrift für Erziehungswissenschaft 25 (2022) 1455–1480.","mla":"Hagena, Maike, et al. “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft.” Zeitschrift für Erziehungswissenschaft, vol. 25, no. 6, Springer Vieweg-springer Fachmedien Wiesbaden Gmbh, 2022, pp. 1455–1480, doi:10.1007/s11618-022-01122-y.","bibtex":"@article{Hagena_Bruns_Gasteiger_2022, title={Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft}, volume={25}, DOI={10.1007/s11618-022-01122-y}, number={6}, journal={Zeitschrift für Erziehungswissenschaft}, publisher={Springer Vieweg-springer Fachmedien Wiesbaden Gmbh}, author={Hagena, Maike and Bruns, Julia and Gasteiger, Hedwig}, year={2022}, pages={1455–1480} }","chicago":"Hagena, Maike, Julia Bruns, and Hedwig Gasteiger. “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft.” Zeitschrift für Erziehungswissenschaft 25, no. 6 (2022): 1455–1480. https://doi.org/10.1007/s11618-022-01122-y.","ama":"Hagena M, Bruns J, Gasteiger H. Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft. Zeitschrift für Erziehungswissenschaft. 2022;25(6):1455–1480. doi:10.1007/s11618-022-01122-y","apa":"Hagena, M., Bruns, J., & Gasteiger, H. (2022). Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft. Zeitschrift für Erziehungswissenschaft, 25(6), 1455–1480. https://doi.org/10.1007/s11618-022-01122-y"},"year":"2022","type":"journal_article","issue":"6","_id":"34819","intvolume":" 25","volume":25,"date_created":"2022-12-22T09:22:45Z","status":"public","publication":"Zeitschrift für Erziehungswissenschaft","keyword":["Facilitator professional development","Early childhood teachers","Teaching","experience","Early mathematics education"],"author":[{"first_name":"Maike","full_name":"Hagena, Maike","last_name":"Hagena"},{"last_name":"Bruns","id":"72183","first_name":"Julia","full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864"},{"last_name":"Gasteiger","first_name":"Hedwig","full_name":"Gasteiger, Hedwig"}],"quality_controlled":"1","publisher":"Springer Vieweg-springer Fachmedien Wiesbaden Gmbh","user_id":"49063","abstract":[{"text":"Teachers expect facilitators to have own teaching experience as a teacher in order to be able to carry out effective teacher professional development programs. As part of the project EmMa(M), it is investigated, to which extent the teaching experience of facilitators influences the development of early childhood teachers' (n = 83) mathematical pedagogical content knowledge (MPCK) and early childhood teachers' enjoyment of mathematics in the context of a teacher professional development program. It turns out that the teaching experience of the facilitators has no influence on the development of early childhood teachers' MPCK, but favors the development of early childhood teachers' enjoyment of mathematics. Controlling for this increased enjoyment an influence of teaching experience on the development of early childhood teachers' MPCK emerges, but in favor of the participating facilitators who have no teaching experience but have a university degree.","lang":"eng"}],"article_type":"original"},{"department":[{"_id":"97"},{"_id":"611"}],"publication":"Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik","publisher":"Springer Berlin Heidelberg","author":[{"first_name":"Dinah","full_name":"Reuter, Dinah","last_name":"Reuter"},{"first_name":"Julia","orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia","last_name":"Bruns","id":"72183"}],"quality_controlled":"1","date_created":"2023-01-12T14:51:59Z","status":"public","publication_identifier":{"isbn":["9783662632130","9783662632147"]},"publication_status":"published","place":"Berlin, Heidelberg","user_id":"49063","title":"Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich","language":[{"iso":"ger"}],"year":"2022","citation":{"short":"D. Reuter, J. Bruns, in: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2022.","ieee":"D. Reuter and J. Bruns, “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich,” in Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Berlin, Heidelberg: Springer Berlin Heidelberg, 2022.","ama":"Reuter D, Bruns J. Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich. In: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Springer Berlin Heidelberg; 2022. doi:10.1007/978-3-662-63214-7_3","apa":"Reuter, D., & Bruns, J. (2022). Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich. In Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-63214-7_3","chicago":"Reuter, Dinah, and Julia Bruns. “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich.” In Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. https://doi.org/10.1007/978-3-662-63214-7_3.","bibtex":"@inbook{Reuter_Bruns_2022, place={Berlin, Heidelberg}, title={Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich}, DOI={10.1007/978-3-662-63214-7_3}, booktitle={Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik}, publisher={Springer Berlin Heidelberg}, author={Reuter, Dinah and Bruns, Julia}, year={2022} }","mla":"Reuter, Dinah, and Julia Bruns. “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich.” Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Springer Berlin Heidelberg, 2022, doi:10.1007/978-3-662-63214-7_3."},"type":"book_chapter","_id":"36472","date_updated":"2023-06-20T19:10:24Z","doi":"10.1007/978-3-662-63214-7_3"},{"type":"journal_article","citation":{"bibtex":"@article{Schönherr_Schukajlow_Blomberg_Leopold_2022, title={Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy}, volume={36}, DOI={10.1002/acp.3930}, number={2}, journal={Applied Cognitive Psychology, ac3930}, author={Schönherr, Johanna and Schukajlow, S. and Blomberg, J. and Leopold, C.}, year={2022}, pages={402–417} }","mla":"Schönherr, Johanna, et al. “Effects of Drawing Instructions and Strategic Knowledge on Mathematical Modeling Performance: Mediated by the Use of the Drawing Strategy.” Applied Cognitive Psychology, Ac3930, vol. 36, no. 2, 2022, pp. 402–17, doi:10.1002/acp.3930.","ieee":"J. Schönherr, S. Schukajlow, J. Blomberg, and C. Leopold, “Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy,” Applied Cognitive Psychology, ac3930, vol. 36, no. 2, pp. 402–417, 2022, doi: 10.1002/acp.3930.","chicago":"Schönherr, Johanna, S. Schukajlow, J. Blomberg, and C. Leopold. “Effects of Drawing Instructions and Strategic Knowledge on Mathematical Modeling Performance: Mediated by the Use of the Drawing Strategy.” Applied Cognitive Psychology, Ac3930 36, no. 2 (2022): 402–17. https://doi.org/10.1002/acp.3930.","apa":"Schönherr, J., Schukajlow, S., Blomberg, J., & Leopold, C. (2022). Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy. Applied Cognitive Psychology, Ac3930, 36(2), 402–417. https://doi.org/10.1002/acp.3930","short":"J. Schönherr, S. Schukajlow, J. Blomberg, C. Leopold, Applied Cognitive Psychology, Ac3930 36 (2022) 402–417.","ama":"Schönherr J, Schukajlow S, Blomberg J, Leopold C. Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy. Applied Cognitive Psychology, ac3930. 2022;36(2):402-417. doi:10.1002/acp.3930"},"year":"2022","page":"402-417","language":[{"iso":"eng"}],"intvolume":" 36","_id":"45334","date_updated":"2023-06-20T19:23:52Z","doi":"10.1002/acp.3930","issue":"2","author":[{"first_name":"Johanna","full_name":"Schönherr, Johanna","last_name":"Schönherr","id":"99409"},{"last_name":"Schukajlow","full_name":"Schukajlow, S.","first_name":"S."},{"last_name":"Blomberg","full_name":"Blomberg, J.","first_name":"J."},{"first_name":"C.","full_name":"Leopold, C.","last_name":"Leopold"}],"publication":"Applied Cognitive Psychology, ac3930","department":[{"_id":"97"}],"volume":36,"publication_status":"published","status":"public","date_created":"2023-05-29T17:25:47Z","extern":"1","title":"Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy","user_id":"49063"},{"_id":"45339","intvolume":" 3","date_updated":"2023-06-20T19:27:24Z","language":[{"iso":"eng"}],"citation":{"ama":"Schönherr J, Schukajlow S, Leopold C. Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings. In: Proceedings of the 45th PME Conference. Vol 3. ; 2022:347–354.","apa":"Schönherr, J., Schukajlow, S., & Leopold, C. (2022). Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings. Proceedings of the 45th PME Conference, 3, 347–354.","chicago":"Schönherr, Johanna, S. Schukajlow, and C. Leopold. “Drawing Instructions, Strategic Knowledge, Strategy-Based Motivation, and Students’ Use of Drawings.” In Proceedings of the 45th PME Conference, 3:347–354, 2022.","bibtex":"@inproceedings{Schönherr_Schukajlow_Leopold_2022, title={Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings}, volume={3}, booktitle={Proceedings of the 45th PME Conference}, author={Schönherr, Johanna and Schukajlow, S. and Leopold, C.}, year={2022}, pages={347–354} }","mla":"Schönherr, Johanna, et al. “Drawing Instructions, Strategic Knowledge, Strategy-Based Motivation, and Students’ Use of Drawings.” Proceedings of the 45th PME Conference, vol. 3, 2022, pp. 347–354.","short":"J. Schönherr, S. Schukajlow, C. Leopold, in: Proceedings of the 45th PME Conference, 2022, pp. 347–354.","ieee":"J. Schönherr, S. Schukajlow, and C. Leopold, “Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings,” in Proceedings of the 45th PME Conference, 2022, vol. 3, pp. 347–354."},"year":"2022","type":"conference","page":"347–354","extern":"1","user_id":"49063","title":"Drawing instructions, strategic knowledge, strategy-based motivation, and students' use of drawings","author":[{"id":"99409","last_name":"Schönherr","full_name":"Schönherr, Johanna","first_name":"Johanna"},{"first_name":"S.","full_name":"Schukajlow, S.","last_name":"Schukajlow"},{"full_name":"Leopold, C.","first_name":"C.","last_name":"Leopold"}],"publication":"Proceedings of the 45th PME Conference","department":[{"_id":"97"}],"status":"public","date_created":"2023-05-29T17:34:03Z","volume":3,"publication_status":"published"},{"title":"Binary Hermitian Lattices over Number Fields","department":[{"_id":"102"}],"publication_identifier":{"issn":["1058-6458","1944-950X"]},"publication_status":"published","date_updated":"2023-07-04T08:29:22Z","doi":"10.1080/10586458.2019.1618756","language":[{"iso":"eng"}],"abstract":[{"text":"In a previous paper the authors developed an algorithm to classify certain quaternary quadratic lattices over totally real fields. The present article applies this algorithm to the classification of binary Hermitian lattices over totally imaginary fields. We use it in particular to classify the 48-dimensional extremal even unimodular lattices over the integers that admit a semilarge automorphism.","lang":"eng"}],"user_id":"93826","publication":"Experimental Mathematics","keyword":["General Mathematics"],"author":[{"first_name":"Markus","full_name":"Kirschmer, Markus","last_name":"Kirschmer","id":"82258"},{"last_name":"Nebe","full_name":"Nebe, Gabriele","first_name":"Gabriele"}],"publisher":"Informa UK Limited","date_created":"2023-07-04T08:28:04Z","status":"public","volume":31,"intvolume":" 31","_id":"45854","issue":"1","page":"280-301","citation":{"bibtex":"@article{Kirschmer_Nebe_2022, title={Binary Hermitian Lattices over Number Fields}, volume={31}, DOI={10.1080/10586458.2019.1618756}, number={1}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2022}, pages={280–301} }","mla":"Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics, vol. 31, no. 1, Informa UK Limited, 2022, pp. 280–301, doi:10.1080/10586458.2019.1618756.","chicago":"Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics 31, no. 1 (2022): 280–301. https://doi.org/10.1080/10586458.2019.1618756.","apa":"Kirschmer, M., & Nebe, G. (2022). Binary Hermitian Lattices over Number Fields. Experimental Mathematics, 31(1), 280–301. https://doi.org/10.1080/10586458.2019.1618756","ama":"Kirschmer M, Nebe G. Binary Hermitian Lattices over Number Fields. Experimental Mathematics. 2022;31(1):280-301. doi:10.1080/10586458.2019.1618756","ieee":"M. Kirschmer and G. Nebe, “Binary Hermitian Lattices over Number Fields,” Experimental Mathematics, vol. 31, no. 1, pp. 280–301, 2022, doi: 10.1080/10586458.2019.1618756.","short":"M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301."},"year":"2022","type":"journal_article"},{"user_id":"23686","author":[{"last_name":"Black","id":"23686","first_name":"Tobias","orcid":"0000-0001-9963-0800","full_name":"Black, Tobias"},{"last_name":"Wu","full_name":"Wu, Chunyan","first_name":"Chunyan"}],"publisher":"Springer Science and Business Media LLC","keyword":["Applied Mathematics","Analysis"],"publication":"Calculus of Variations and Partial Differential Equations","status":"public","date_created":"2022-12-21T09:50:59Z","volume":61,"_id":"34677","intvolume":" 61","issue":"3","article_number":"96","year":"2022","citation":{"apa":"Black, T., & Wu, C. (2022). Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations, 61(3), Article 96. https://doi.org/10.1007/s00526-022-02201-y","ama":"Black T, Wu C. Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations. 2022;61(3). doi:10.1007/s00526-022-02201-y","chicago":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations 61, no. 3 (2022). https://doi.org/10.1007/s00526-022-02201-y.","mla":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, 96, Springer Science and Business Media LLC, 2022, doi:10.1007/s00526-022-02201-y.","bibtex":"@article{Black_Wu_2022, title={Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}, volume={61}, DOI={10.1007/s00526-022-02201-y}, number={396}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2022} }","short":"T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022).","ieee":"T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, Art. no. 96, 2022, doi: 10.1007/s00526-022-02201-y."},"type":"journal_article","title":"Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication_identifier":{"issn":["0944-2669","1432-0835"]},"publication_status":"published","date_updated":"2023-07-10T11:37:27Z","doi":"10.1007/s00526-022-02201-y","language":[{"iso":"eng"}]},{"title":"Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies","user_id":"37888","status":"public","date_created":"2023-07-26T10:58:42Z","author":[{"full_name":"Kolbe, Tim","first_name":"Tim","last_name":"Kolbe"},{"first_name":"Lena","full_name":"Wessel, Lena","last_name":"Wessel","id":"85190"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication":"Fourth conference of the International Network for Didactic Research in University Mathematics","_id":"46163","date_updated":"2023-07-26T11:03:25Z","type":"conference","year":"2022","citation":{"apa":"Kolbe, T., & Wessel, L. (2022). Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies. Fourth Conference of the International Network for Didactic Research in University Mathematics.","ama":"Kolbe T, Wessel L. Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies. In: Fourth Conference of the International Network for Didactic Research in University Mathematics. ; 2022.","chicago":"Kolbe, Tim, and Lena Wessel. “Self-Regulated Learning in a Mathematics Course for Engineers in the First Semester: Insights into Students Reported Resource Management and Cognitive Strategies.” In Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022.","mla":"Kolbe, Tim, and Lena Wessel. “Self-Regulated Learning in a Mathematics Course for Engineers in the First Semester: Insights into Students Reported Resource Management and Cognitive Strategies.” Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022.","bibtex":"@inproceedings{Kolbe_Wessel_2022, title={Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies}, booktitle={Fourth conference of the International Network for Didactic Research in University Mathematics}, author={Kolbe, Tim and Wessel, Lena}, year={2022} }","short":"T. Kolbe, L. Wessel, in: Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022.","ieee":"T. Kolbe and L. Wessel, “Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies,” 2022."},"language":[{"iso":"eng"}]},{"title":"Backward error analysis for variational discretisations of partial differential equations","related_material":{"link":[{"url":"https://github.com/Christian-Offen/multisymplectic","relation":"software"}]},"external_id":{"arxiv":["2006.14172"]},"publication_status":"published","department":[{"_id":"636"}],"doi":"10.3934/jgm.2022014","oa":"1","date_updated":"2023-08-10T08:44:55Z","language":[{"iso":"eng"}],"ddc":["510"],"user_id":"85279","article_type":"original","abstract":[{"lang":"eng","text":"In backward error analysis, an approximate solution to an equation is compared to the exact solution to a nearby ‘modified’ equation. In numerical ordinary differential equations, the two agree up to any power of the step size. If the differential equation has a geometric property then the modified equation may share it. In this way, known properties of differential equations can be applied to the approximation. But for partial differential equations, the known modified equations are of higher order, limiting applicability of the theory. Therefore, we study symmetric solutions of discretized\r\npartial differential equations that arise from a discrete variational principle. These symmetric solutions obey infinite-dimensional functional equations. We show that these equations admit second-order modified equations which are Hamiltonian and also possess first-order Lagrangians in modified coordinates. The modified equation and its associated structures are computed explicitly for the case of rotating travelling waves in the nonlinear wave equation."}],"volume":14,"has_accepted_license":"1","status":"public","date_created":"2020-10-06T16:33:19Z","author":[{"first_name":"Robert I","full_name":"McLachlan, Robert I","last_name":"McLachlan"},{"orcid":"https://orcid.org/0000-0002-5940-8057","full_name":"Offen, Christian","first_name":"Christian","id":"85279","last_name":"Offen"}],"publisher":"AIMS","file_date_updated":"2022-06-13T09:11:38Z","publication":"Journal of Geometric Mechanics","file":[{"date_updated":"2022-06-13T09:11:38Z","content_type":"application/pdf","relation":"main_file","description":"In backward error analysis, an approximate solution to an equa-\ntion is compared to the exact solution to a nearby ‘modified’ equation. In\nnumerical ordinary differential equations, the two agree up to any power of\nthe step size. If the differential equation has a geometric property then the\nmodified equation may share it. In this way, known properties of differential\nequations can be applied to the approximation. But for partial differential\nequations, the known modified equations are of higher order, limiting appli-\ncability of the theory. Therefore, we study symmetric solutions of discretized\npartial differential equations that arise from a discrete variational principle.\nThese symmetric solutions obey infinite-dimensional functional equations. We\nshow that these equations admit second-order modified equations which are\nHamiltonian and also possess first-order Lagrangians in modified coordinates.\nThe modified equation and its associated structures are computed explicitly\nfor the case of rotating travelling waves in the nonlinear wave equation.","creator":"coffen","file_id":"31859","access_level":"open_access","file_name":"2_BlendedBEASymmPDE.pdf","date_created":"2022-06-13T09:11:38Z","file_size":1507248,"title":"Backward error analysis for variational discretisations of PDEs"}],"issue":"3","license":"https://creativecommons.org/licenses/by-sa/4.0/","_id":"19941","intvolume":" 14","year":"2022","type":"journal_article","citation":{"chicago":"McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.","apa":"McLachlan, R. I., & Offen, C. (2022). Backward error analysis for variational discretisations of partial differential equations. Journal of Geometric Mechanics, 14(3), 447–471. https://doi.org/10.3934/jgm.2022014","ama":"McLachlan RI, Offen C. Backward error analysis for variational discretisations of partial differential equations. Journal of Geometric Mechanics. 2022;14(3):447-471. doi:10.3934/jgm.2022014","mla":"McLachlan, Robert I., and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics, vol. 14, no. 3, AIMS, 2022, pp. 447–71, doi:10.3934/jgm.2022014.","bibtex":"@article{McLachlan_Offen_2022, title={Backward error analysis for variational discretisations of partial differential equations}, volume={14}, DOI={10.3934/jgm.2022014}, number={3}, journal={Journal of Geometric Mechanics}, publisher={AIMS}, author={McLachlan, Robert I and Offen, Christian}, year={2022}, pages={447–471} }","short":"R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.","ieee":"R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial differential equations,” Journal of Geometric Mechanics, vol. 14, no. 3, pp. 447–471, 2022, doi: 10.3934/jgm.2022014."},"page":"447 - 471"},{"_id":"23382","main_file_link":[{"url":"https://aip.scitation.org/doi/abs/10.1063/5.0065913","open_access":"1"}],"citation":{"bibtex":"@article{Offen_Ober-Blöbaum_2022, title={Symplectic integration of learned Hamiltonian systems}, volume={32(1)}, DOI={10.1063/5.0065913}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2022} }","mla":"Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), AIP, 2022, doi:10.1063/5.0065913.","chicago":"Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913.","apa":"Offen, C., & Ober-Blöbaum, S. (2022). Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(1). https://doi.org/10.1063/5.0065913","ama":"Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022;32(1). doi:10.1063/5.0065913","ieee":"C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi: 10.1063/5.0065913.","short":"C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022)."},"year":"2022","type":"journal_article","article_type":"original","abstract":[{"text":"Hamiltonian systems are differential equations which describe systems in classical mechanics, plasma physics, and sampling problems. They exhibit many structural properties, such as a lack of attractors and the presence of conservation laws. To predict Hamiltonian dynamics based on discrete trajectory observations, incorporation of prior knowledge about Hamiltonian structure greatly improves predictions. This is typically done by learning the system's Hamiltonian and then integrating the Hamiltonian vector field with a symplectic integrator. For this, however, Hamiltonian data needs to be approximated based on the trajectory observations. Moreover, the numerical integrator introduces an additional discretisation error. In this paper, we show that an inverse modified Hamiltonian structure adapted to the geometric integrator can be learned directly from observations. A separate approximation step for the Hamiltonian data avoided. The inverse modified data compensates for the discretisation error such that the discretisation error is eliminated. The technique is developed for Gaussian Processes.","lang":"eng"}],"ddc":["510"],"user_id":"85279","quality_controlled":"1","author":[{"last_name":"Offen","id":"85279","first_name":"Christian","orcid":"0000-0002-5940-8057","full_name":"Offen, Christian"},{"id":"16494","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"}],"publisher":"AIP","publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","file_date_updated":"2021-12-13T14:56:15Z","file":[{"date_created":"2021-12-13T14:56:15Z","file_name":"SymplecticShadowIntegration_AIP.pdf","access_level":"open_access","creator":"coffen","file_id":"28734","file_size":2285059,"relation":"main_file","content_type":"application/pdf","date_updated":"2021-12-13T14:56:15Z"}],"volume":"32(1)","has_accepted_license":"1","status":"public","date_created":"2021-08-11T08:24:02Z","date_updated":"2023-08-10T08:48:14Z","doi":"10.1063/5.0065913","oa":"1","language":[{"iso":"eng"}],"external_id":{"arxiv":["2108.02492"]},"title":"Symplectic integration of learned Hamiltonian systems","related_material":{"link":[{"description":"GitHub","relation":"software","url":"https://github.com/Christian-Offen/symplectic-shadow-integration"}]},"department":[{"_id":"636"}],"publication_status":"published"},{"user_id":"85820","title":"Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen","status":"public","date_created":"2023-01-27T19:00:01Z","author":[{"first_name":"Jennifer","full_name":"Dröse, Jennifer","last_name":"Dröse","id":"85820"}],"department":[{"_id":"98"}],"publication":"Beiträge zum Mathematikunterricht","_id":"40613","date_updated":"2023-08-15T06:04:03Z","language":[{"iso":"eng"}],"type":"conference","year":"2022","citation":{"ieee":"J. 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Schindler, 209–25, 2022. https://doi.org/10.1007/978-3-662-63214-7."}},{"date_created":"2023-05-31T06:27:51Z","status":"public","department":[{"_id":"98"}],"publication":"Journal of Mathematics Teacher Education","quality_controlled":"1","author":[{"last_name":"Prediger","full_name":"Prediger, S.","first_name":"S."},{"first_name":"Jennifer","full_name":"Dröse, Jennifer","last_name":"Dröse","id":"85820"},{"last_name":"Stahnke","full_name":"Stahnke, R.","first_name":"R."},{"last_name":"Ademmer","full_name":"Ademmer, C.","first_name":"C."}],"title":"Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth","user_id":"85820","year":"2022","type":"journal_article","citation":{"ieee":"S. Prediger, J. Dröse, R. Stahnke, and C. Ademmer, “Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth,” Journal of Mathematics Teacher Education, 2022, doi: https://doi.org/10.1007/s10857-022-09538-3.","short":"S. Prediger, J. Dröse, R. Stahnke, C. Ademmer, Journal of Mathematics Teacher Education (2022).","bibtex":"@article{Prediger_Dröse_Stahnke_Ademmer_2022, title={Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth}, DOI={https://doi.org/10.1007/s10857-022-09538-3}, journal={Journal of Mathematics Teacher Education}, author={Prediger, S. and Dröse, Jennifer and Stahnke, R. and Ademmer, C.}, year={2022} }","mla":"Prediger, S., et al. “Teacher Expertise for Fostering At-Risk Students’ Understanding of Basic Concepts: Conceptual Model and Evidence for Growth.” Journal of Mathematics Teacher Education, 2022, doi:https://doi.org/10.1007/s10857-022-09538-3.","apa":"Prediger, S., Dröse, J., Stahnke, R., & Ademmer, C. (2022). Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-022-09538-3","ama":"Prediger S, Dröse J, Stahnke R, Ademmer C. Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth. Journal of Mathematics Teacher Education. Published online 2022. doi:https://doi.org/10.1007/s10857-022-09538-3","chicago":"Prediger, S., Jennifer Dröse, R. Stahnke, and C. Ademmer. “Teacher Expertise for Fostering At-Risk Students’ Understanding of Basic Concepts: Conceptual Model and Evidence for Growth.” Journal of Mathematics Teacher Education, 2022. https://doi.org/10.1007/s10857-022-09538-3."},"language":[{"iso":"eng"}],"doi":"https://doi.org/10.1007/s10857-022-09538-3","date_updated":"2023-11-02T08:07:42Z","_id":"45374"},{"year":"2022","type":"conference","citation":{"chicago":"Dröse, Jennifer, B. Griese, and Lena Wessel. “Prosepctive Teachers‘ Diagnostic Judgements on Students’ under- Standing of Conditional Probabilities.” In Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). Bozen-Bolzano, Italy, 2022.","ama":"Dröse J, Griese B, Wessel L. Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities. In: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022.","apa":"Dröse, J., Griese, B., & Wessel, L. (2022). Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12).","bibtex":"@inproceedings{Dröse_Griese_Wessel_2022, place={Bozen-Bolzano, Italy}, title={Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities}, booktitle={Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Dröse, Jennifer and Griese, B. and Wessel, Lena}, year={2022} }","mla":"Dröse, Jennifer, et al. “Prosepctive Teachers‘ Diagnostic Judgements on Students’ under- Standing of Conditional Probabilities.” Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","short":"J. Dröse, B. Griese, L. Wessel, in: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.","ieee":"J. Dröse, B. Griese, and L. Wessel, “Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities,” 2022."},"language":[{"iso":"eng"}],"date_updated":"2023-11-02T08:05:43Z","_id":"45379","date_created":"2023-05-31T06:59:15Z","status":"public","publication":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","department":[{"_id":"98"}],"author":[{"last_name":"Dröse","id":"85820","first_name":"Jennifer","full_name":"Dröse, Jennifer"},{"last_name":"Griese","first_name":"B.","full_name":"Griese, B."},{"id":"85190","last_name":"Wessel","full_name":"Wessel, Lena","first_name":"Lena"}],"quality_controlled":"1","title":"Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities","user_id":"85820","place":"Bozen-Bolzano, Italy"},{"title":"Verification of safety critical control policies using kernel methods","ddc":["510"],"user_id":"15694","abstract":[{"lang":"eng","text":"Hamilton-Jacobi reachability methods for safety-critical control have been well studied, but the safety guarantees derived rely on the accuracy of the numerical computation. Thus, it is crucial to understand and account for any inaccuracies that occur due to uncertainty in the underlying dynamics and environment as well as the induced numerical errors. To this end, we propose a framework for modeling the error of the value function inherent in Hamilton-Jacobi reachability using a Gaussian process. The derived safety controller can be used in conjuncture with arbitrary controllers to provide a safe hybrid control law. The marginal likelihood of the Gaussian process then provides a confidence metric used to determine switches between a least restrictive controller and a safety controller. We test both the prediction as well as the correction capabilities of the presented method in a classical pursuit-evasion example."}],"date_created":"2022-03-31T11:14:13Z","status":"public","has_accepted_license":"1","department":[{"_id":"636"}],"author":[{"full_name":"Vertovec, Nikolaus","first_name":"Nikolaus","id":"93930","last_name":"Vertovec"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","id":"16494"},{"last_name":"Margellos","full_name":"Margellos, Kostas","first_name":"Kostas"}],"conference":{"end_date":"2022-07-15","location":"London","name":"2022 European Control Conference (ECC)","start_date":"2022-07-12"},"date_updated":"2023-11-29T10:00:18Z","_id":"30733","page":"1870-1875","year":"2022","citation":{"short":"N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: 2022, pp. 1870–1875.","ieee":"N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Verification of safety critical control policies using kernel methods,” London, 2022, pp. 1870–1875.","ama":"Vertovec N, Ober-Blöbaum S, Margellos K. Verification of safety critical control policies using kernel methods. In: ; 2022:1870-1875.","apa":"Vertovec, N., Ober-Blöbaum, S., & Margellos, K. (2022). Verification of safety critical control policies using kernel methods. 1870–1875.","chicago":"Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Verification of Safety Critical Control Policies Using Kernel Methods,” 1870–75, 2022.","bibtex":"@inproceedings{Vertovec_Ober-Blöbaum_Margellos_2022, title={Verification of safety critical control policies using kernel methods}, author={Vertovec, Nikolaus and Ober-Blöbaum, Sina and Margellos, Kostas}, year={2022}, pages={1870–1875} }","mla":"Vertovec, Nikolaus, et al. Verification of Safety Critical Control Policies Using Kernel Methods. 2022, pp. 1870–75."},"type":"conference","language":[{"iso":"eng"}]},{"user_id":"37888","title":"Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication":"Proceedings of INDRUM2022","author":[{"last_name":"Dellori","first_name":"Anna","full_name":"Dellori, Anna"},{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"}],"date_created":"2023-10-23T09:40:30Z","status":"public","editor":[{"first_name":"M.","full_name":"Trigueros, M.","last_name":"Trigueros"},{"last_name":"Barquero","full_name":"Barquero, B.","first_name":"B."},{"last_name":"Hochmuth","first_name":"R.","full_name":"Hochmuth, R."},{"first_name":"J.","full_name":"Peters, J.","last_name":"Peters"}],"_id":"48385","date_updated":"2023-10-23T09:43:48Z","language":[{"iso":"eng"}],"page":"572-573","type":"book_chapter","year":"2022","citation":{"mla":"Dellori, Anna, and Lena Wessel. “Design Principles for Intertwining Local and Nonlocal Mathematics - The Case of Relating Registers and Representations in Abstract Algebra.” Proceedings of INDRUM2022, edited by M. Trigueros et al., 2022, pp. 572–73.","bibtex":"@inbook{Dellori_Wessel_2022, title={Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra}, booktitle={Proceedings of INDRUM2022}, author={Dellori, Anna and Wessel, Lena}, editor={Trigueros, M. and Barquero, B. and Hochmuth, R. and Peters, J.}, year={2022}, pages={572–573} }","chicago":"Dellori, Anna, and Lena Wessel. “Design Principles for Intertwining Local and Nonlocal Mathematics - The Case of Relating Registers and Representations in Abstract Algebra.” In Proceedings of INDRUM2022, edited by M. Trigueros, B. Barquero, R. Hochmuth, and J. Peters, 572–73, 2022.","apa":"Dellori, A., & Wessel, L. (2022). Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra. In M. Trigueros, B. Barquero, R. Hochmuth, & J. Peters (Eds.), Proceedings of INDRUM2022 (pp. 572–573).","ama":"Dellori A, Wessel L. Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra. In: Trigueros M, Barquero B, Hochmuth R, Peters J, eds. Proceedings of INDRUM2022. ; 2022:572-573.","ieee":"A. Dellori and L. Wessel, “Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra,” in Proceedings of INDRUM2022, M. Trigueros, B. Barquero, R. Hochmuth, and J. Peters, Eds. 2022, pp. 572–573.","short":"A. Dellori, L. Wessel, in: M. Trigueros, B. Barquero, R. Hochmuth, J. Peters (Eds.), Proceedings of INDRUM2022, 2022, pp. 572–573."}},{"doi":"10.1007/s13138-022-00214-w","date_updated":"2023-11-02T08:05:14Z","_id":"40607","language":[{"iso":"eng"}],"citation":{"mla":"Dröse, Jennifer, and Susanne Prediger. “Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements.” Journal Für Mathematik-Didaktik, Springer Science and Business Media LLC, 2022, doi:10.1007/s13138-022-00214-w.","bibtex":"@article{Dröse_Prediger_2022, title={Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements}, DOI={10.1007/s13138-022-00214-w}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Dröse, Jennifer and Prediger, Susanne}, year={2022} }","chicago":"Dröse, Jennifer, and Susanne Prediger. “Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements.” Journal Für Mathematik-Didaktik, 2022. https://doi.org/10.1007/s13138-022-00214-w.","apa":"Dröse, J., & Prediger, S. (2022). Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements. Journal Für Mathematik-Didaktik. https://doi.org/10.1007/s13138-022-00214-w","ama":"Dröse J, Prediger S. Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements. Journal für Mathematik-Didaktik. Published online 2022. doi:10.1007/s13138-022-00214-w","ieee":"J. Dröse and S. Prediger, “Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements,” Journal für Mathematik-Didaktik, 2022, doi: 10.1007/s13138-022-00214-w.","short":"J. Dröse, S. Prediger, Journal Für Mathematik-Didaktik (2022)."},"type":"journal_article","year":"2022","user_id":"85820","title":"Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements","abstract":[{"lang":"eng","text":"AbstractTeachers’ in-depth diagnostic thinking has been shown to be crucial for student-centered teaching as they need to perceive and interpret students’ understanding for well-informed decision-making on adaptive teaching practices. The paper presents a content-related approach to analyzing diagnostic thinking processes with respect to the mathematical knowledge elements that prospective teachers identify as students’ resources and obstacles. Prospective teachers’ challenge is that some relevant knowledge elements first have to be unpacked, because compact concepts (such as the place value concept) or procedures (such as for multi-digit multiplication) comprise several smaller knowledge elements (such as the positional property) that have to be made explicit for students to foster their learning processes adequately. Our study examines what knowledge elements prospective teachers perceive and interpret in a transcript vignettes on multi-digit multiplication (of decimal and natural numbers) and its underlying basic arithmetic concepts (place value understanding and meaning of multiplication) in written diagnostic judgments on students’ resources and obstacles (N = 196). A comparative design within the vignette is used to investigate how far the process of perceiving can be supported by thematic cues. The analysis reveals that those knowledge elements cued in the vignette by being already unpacked and explicitly addressed are perceived and interpreted more often (but with lower correctness) than those that are uncued and therefore have to be unpacked by the prospective teachers themselves. This confirms the need to prepare prospective teachers for unpacking mathematical concepts themselves."}],"status":"public","date_created":"2023-01-27T18:47:24Z","publication_status":"published","publication_identifier":{"issn":["0173-5322","1869-2699"]},"quality_controlled":"1","author":[{"first_name":"Jennifer","full_name":"Dröse, Jennifer","last_name":"Dröse"},{"last_name":"Prediger","first_name":"Susanne","full_name":"Prediger, Susanne"}],"publisher":"Springer Science and Business Media LLC","keyword":["Education","General Mathematics"],"publication":"Journal für Mathematik-Didaktik","department":[{"_id":"98"}]},{"author":[{"last_name":"Dröse","id":"85820","first_name":"Jennifer","full_name":"Dröse, Jennifer"},{"last_name":"Griese","first_name":"Birgit","full_name":"Griese, Birgit"},{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"}],"quality_controlled":"1","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","status":"public","date_created":"2023-10-23T10:56:02Z","user_id":"85820","title":"Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities","main_file_link":[{"url":"https://hal.science/hal-03744585/"}],"language":[{"iso":"eng"}],"type":"conference","citation":{"ieee":"J. Dröse, B. Griese, and L. Wessel, “Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities,” presented at the TwelfthCongressoftheEuropeanSocietyforResearchin Mathematics Education(CERME12), Bozen-Bolzano,Italy, 2022.","short":"J. Dröse, B. Griese, L. Wessel, in: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","mla":"Dröse, Jennifer, et al. “Prospective Teachers’ Diagnostic Judgments on Students’ Understanding of Conditional Probabilities.” Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","bibtex":"@inproceedings{Dröse_Griese_Wessel_2022, title={Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities}, booktitle={Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Dröse, Jennifer and Griese, Birgit and Wessel, Lena}, year={2022} }","chicago":"Dröse, Jennifer, Birgit Griese, and Lena Wessel. “Prospective Teachers’ Diagnostic Judgments on Students’ Understanding of Conditional Probabilities.” In Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","apa":"Dröse, J., Griese, B., & Wessel, L. (2022). Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). TwelfthCongressoftheEuropeanSocietyforResearchin Mathematics Education(CERME12), Bozen-Bolzano,Italy.","ama":"Dröse J, Griese B, Wessel L. Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities. In: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022."},"year":"2022","date_updated":"2023-11-02T08:04:55Z","_id":"48389","conference":{"name":"TwelfthCongressoftheEuropeanSocietyforResearchin Mathematics Education(CERME12)","start_date":"Feb2022","location":"Bozen-Bolzano,Italy"}},{"user_id":"85820","title":"Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task","publication":"Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME","department":[{"_id":"98"}],"quality_controlled":"1","author":[{"last_name":"Dröse","id":"85820","first_name":"Jennifer","full_name":"Dröse, Jennifer"},{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"}],"date_created":"2023-05-31T06:54:24Z","status":"public","editor":[{"first_name":"C.","full_name":"Fernandez, C.","last_name":"Fernandez"},{"full_name":"Llinares, S.","first_name":"S.","last_name":"Llinares"},{"full_name":"Gutiérrez, A.","first_name":"A.","last_name":"Gutiérrez"},{"full_name":"Planas, N.","first_name":"N.","last_name":"Planas"}],"_id":"45378","date_updated":"2023-11-02T08:05:31Z","language":[{"iso":"eng"}],"citation":{"ieee":"J. Dröse and L. Wessel, “Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task,” in Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME, 2022.","short":"J. Dröse, L. Wessel, in: C. Fernandez, S. Llinares, A. Gutiérrez, N. Planas (Eds.), Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME, 2022.","mla":"Dröse, Jennifer, and Lena Wessel. “Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task.” Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME, edited by C. Fernandez et al., 2022.","bibtex":"@inproceedings{Dröse_Wessel_2022, title={Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task}, booktitle={Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME}, author={Dröse, Jennifer and Wessel, Lena}, editor={Fernandez, C. and Llinares, S. and Gutiérrez, A. and Planas, N.}, year={2022} }","ama":"Dröse J, Wessel L. Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task. In: Fernandez C, Llinares S, Gutiérrez A, Planas N, eds. Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME. ; 2022.","apa":"Dröse, J., & Wessel, L. (2022). Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task. In C. Fernandez, S. Llinares, A. Gutiérrez, & N. Planas (Eds.), Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME.","chicago":"Dröse, Jennifer, and Lena Wessel. “Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task.” In Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME, edited by C. Fernandez, S. Llinares, A. Gutiérrez, and N. Planas, 2022."},"year":"2022","type":"conference"},{"date_updated":"2024-02-06T20:40:45Z","doi":"10.1088/1751-8121/ac6d2b","language":[{"iso":"eng"}],"external_id":{"arxiv":["2201.04892"]},"title":"Semiclassical formulae For Wigner distributions","department":[{"_id":"623"},{"_id":"548"},{"_id":"10"}],"_id":"31057","intvolume":" 55","article_number":"244007","issue":"24","citation":{"bibtex":"@article{Barkhofen_Schütte_Weich_2022, title={Semiclassical formulae For Wigner distributions}, volume={55}, DOI={10.1088/1751-8121/ac6d2b}, number={24244007}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing Ltd}, author={Barkhofen, Sonja and Schütte, Philipp and Weich, Tobias}, year={2022} }","mla":"Barkhofen, Sonja, et al. “Semiclassical Formulae For Wigner Distributions.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 24, 244007, IOP Publishing Ltd, 2022, doi:10.1088/1751-8121/ac6d2b.","apa":"Barkhofen, S., Schütte, P., & Weich, T. (2022). Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical, 55(24), Article 244007. https://doi.org/10.1088/1751-8121/ac6d2b","ama":"Barkhofen S, Schütte P, Weich T. Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical. 2022;55(24). doi:10.1088/1751-8121/ac6d2b","chicago":"Barkhofen, Sonja, Philipp Schütte, and Tobias Weich. “Semiclassical Formulae For Wigner Distributions.” Journal of Physics A: Mathematical and Theoretical 55, no. 24 (2022). https://doi.org/10.1088/1751-8121/ac6d2b.","ieee":"S. Barkhofen, P. Schütte, and T. Weich, “Semiclassical formulae For Wigner distributions,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 24, Art. no. 244007, 2022, doi: 10.1088/1751-8121/ac6d2b.","short":"S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and Theoretical 55 (2022)."},"type":"journal_article","year":"2022","article_type":"review","abstract":[{"lang":"eng","text":"In this paper we give an overview over some aspects of the modern mathematical theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical systems and their implications in physics. First we recall recent developments in the mathematical theory of resonances, in particular how invariant Ruelle distributions arise as residues of weighted zeta functions. Then we derive a correspondence between weighted and semiclassical zeta functions in the setting of negatively curved surfaces. Combining this with results of Hilgert, Guillarmou and Weich yields a high frequency interpretation of invariant Ruelle distributions as quantum mechanical matrix coefficients in constant negative curvature. We finish by presenting numerical calculations of phase space distributions in the more physical setting of 3-disk scattering systems."}],"user_id":"49178","publisher":"IOP Publishing Ltd","author":[{"full_name":"Barkhofen, Sonja","first_name":"Sonja","id":"48188","last_name":"Barkhofen"},{"last_name":"Schütte","id":"50168","first_name":"Philipp","full_name":"Schütte, Philipp"},{"id":"49178","last_name":"Weich","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias"}],"publication":"Journal of Physics A: Mathematical and Theoretical","volume":55,"status":"public","date_created":"2022-05-04T12:23:11Z"},{"supervisor":[{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"},{"full_name":"Hilgert, Joachim","first_name":"Joachim","id":"220","last_name":"Hilgert"}],"language":[{"iso":"eng"}],"year":"2022","citation":{"mla":"Hoffmann, Max. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie Für Lehramtsstudierende. 2022, doi:10.17619/UNIPB/1-1313.","bibtex":"@book{Hoffmann_2022, title={Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende}, DOI={10.17619/UNIPB/1-1313}, author={Hoffmann, Max}, year={2022} }","ama":"Hoffmann M. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie Für Lehramtsstudierende.; 2022. doi:10.17619/UNIPB/1-1313","apa":"Hoffmann, M. (2022). Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende. https://doi.org/10.17619/UNIPB/1-1313","chicago":"Hoffmann, Max. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie Für Lehramtsstudierende, 2022. https://doi.org/10.17619/UNIPB/1-1313.","ieee":"M. Hoffmann, Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende. 2022.","short":"M. Hoffmann, Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie Für Lehramtsstudierende, 2022."},"type":"dissertation","page":"410","main_file_link":[{"url":"https://digital.ub.uni-paderborn.de/hs/content/titleinfo/6503170","open_access":"1"}],"oa":"1","doi":"10.17619/UNIPB/1-1313","_id":"31363","date_updated":"2024-02-19T06:28:58Z","status":"public","date_created":"2022-05-22T10:56:47Z","author":[{"last_name":"Hoffmann","id":"32202","first_name":"Max","full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123"}],"department":[{"_id":"97"}],"user_id":"49063","title":"Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende","abstract":[{"text":"Vorgestellt wird ein Entwicklungsforschungsprojekt zur Konzeption und Durchführung einer Veranstaltung \"Geometrie für Lehramtsstudierende\". Die Schwerpunkte des Projekts sind zum einen die inhaltliche Gestaltung der Veranstaltung und zum anderen die Umsetzung von Professionsorientierung. Bezogen auf den inhaltlichen Aufbau wird das auf metrischen Räumen aufbauende Axiomensystem der \"Saccheri-Ebene\" vorgestellt und mit alternativen axiomatischen Zugängen zur ebenen Geometrie verglichen. Die Frage nach der Umsetzung von Professionsorientierung in Fachveranstaltungen ist eng mit der Problematik der zweiten Diskontinuität verbunden. In der Arbeit wird dieses Problem auf Grundlage der Synthese von theoretischen Hintergründen zur Bedeutung von mathematischem Wissen und Können für professionelle Handlungskompetenz von Mathematiklehrkräften diskutiert und darauf aufbauend werden theoriebasierte Entwurfsprinzipien für professionsorientierte Fachveranstaltungen entworfen. Zentrale Elemente der methodischen Gestaltung sind die sogenannten \"Schnittstellenwochen\" zu den Themen Kongruenz und Symmetrie sowie das begleitende Schnittstellen-ePortfolio. Das zentrale Ergebnis der Arbeit ist ein theoretisch fundiertes und empirisch evaluiertes ganzheitliches Veranstaltungskonzept für eine professionsorientierte Geometrie-Veranstaltung für Lehramtsstudierende, dessen Konzeption auf andere Fachveranstaltungen übertragbar ist. Darüber hinaus ergeben sich im Rahmen der durchgeführten Entwicklungsforschung verschiedene neue Beiträge zur Geometriedidaktik in Schule- und Hochschule.","lang":"eng"},{"lang":"eng","text":"This thesis presents a design research project on the conception and implementation of a course \"Geometry for Student Teachers\". The focal points of the project are, on the one hand, the content structure of the course and, on the other hand, the implementation of professional orientation. With regard to the content structure, the axiom system of the \"Saccheri plane\", which is based on metric spaces, is presented and compared with alternative axiomatic approaches to plane geometry. The question of implementing professional orientation in mathematics courses is closely connected to the problem of the second discontinuity. In the paper, this problem is discussed on the basis of the synthesis of theoretical backgrounds on the importance of mathematical knowledge and skills for professional competence of mathematics teachers. Building on this, theory-based design principles for profession-oriented subject courses are developed. Central elements of the methodological design are the so-called \"interface weeks\" on the topics of congruence and symmetry and an accompanying interface ePortfolio. The central result of the thesis is a theoretically founded and empirically evaluated holistic course concept for a profession-oriented geometry course for student teachers, the conception of which is transferable to other subject events. In addition, various new contributions to the didactics of geometry in schools and universities result from the desing research."}]},{"intvolume":" 12","_id":"35322","issue":"2","page":"659-681","citation":{"mla":"Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory, vol. 12, no. 2, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 659–81, doi:10.4171/jst/414.","bibtex":"@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of bounded degree}, volume={12}, DOI={10.4171/jst/414}, number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2022}, pages={659–681} }","ama":"Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree. Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414","apa":"Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414","chicago":"Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022): 659–81. https://doi.org/10.4171/jst/414.","ieee":"K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi: 10.4171/jst/414.","short":"K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681."},"year":"2022","type":"journal_article","user_id":"49063","publication":"Journal of Spectral Theory","keyword":["Geometry and Topology","Mathematical Physics","Statistical and Nonlinear Physics"],"author":[{"full_name":"Bux, Kai-Uwe","first_name":"Kai-Uwe","last_name":"Bux"},{"last_name":"Hilgert","id":"220","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias","id":"49178","last_name":"Weich"}],"publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_created":"2023-01-06T08:49:06Z","status":"public","volume":12,"date_updated":"2024-02-19T06:28:12Z","doi":"10.4171/jst/414","language":[{"iso":"eng"}],"title":"Poisson transforms for trees of bounded degree","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"publication_identifier":{"issn":["1664-039X"]},"publication_status":"published"}]