[{"citation":{"ieee":"A. Ernst and K.-U. Schmidt, “Intersection theorems for finite general linear groups,” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 175, no. 1, pp. 129–160, 2023, doi: <a href=\"https://doi.org/10.1017/s0305004123000075\">10.1017/s0305004123000075</a>.","apa":"Ernst, A., &#38; Schmidt, K.-U. (2023). Intersection theorems for finite general linear groups. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, <i>175</i>(1), 129–160. <a href=\"https://doi.org/10.1017/s0305004123000075\">https://doi.org/10.1017/s0305004123000075</a>","chicago":"Ernst, Alena, and Kai-Uwe Schmidt. “Intersection Theorems for Finite General Linear Groups.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i> 175, no. 1 (2023): 129–60. <a href=\"https://doi.org/10.1017/s0305004123000075\">https://doi.org/10.1017/s0305004123000075</a>.","short":"A. Ernst, K.-U. Schmidt, Mathematical Proceedings of the Cambridge Philosophical Society 175 (2023) 129–160.","mla":"Ernst, Alena, and Kai-Uwe Schmidt. “Intersection Theorems for Finite General Linear Groups.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 175, no. 1, Cambridge University Press (CUP), 2023, pp. 129–60, doi:<a href=\"https://doi.org/10.1017/s0305004123000075\">10.1017/s0305004123000075</a>.","bibtex":"@article{Ernst_Schmidt_2023, title={Intersection theorems for finite general linear groups}, volume={175}, DOI={<a href=\"https://doi.org/10.1017/s0305004123000075\">10.1017/s0305004123000075</a>}, number={1}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Ernst, Alena and Schmidt, Kai-Uwe}, year={2023}, pages={129–160} }","ama":"Ernst A, Schmidt K-U. Intersection theorems for finite general linear groups. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. 2023;175(1):129-160. doi:<a href=\"https://doi.org/10.1017/s0305004123000075\">10.1017/s0305004123000075</a>"},"status":"public","user_id":"46953","volume":175,"page":"129-160","publisher":"Cambridge University Press (CUP)","_id":"53533","issue":"1","publication":"Mathematical Proceedings of the Cambridge Philosophical Society","type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"100"}],"date_created":"2024-04-17T12:23:18Z","date_updated":"2024-05-07T08:29:59Z","publication_status":"published","intvolume":"       175","year":"2023","title":"Intersection theorems for finite general linear groups","author":[{"id":"46953","first_name":"Alena","last_name":"Ernst","full_name":"Ernst, Alena"},{"full_name":"Schmidt, Kai-Uwe","last_name":"Schmidt","first_name":"Kai-Uwe"}],"publication_identifier":{"issn":["0305-0041","1469-8064"]},"doi":"10.1017/s0305004123000075","language":[{"iso":"eng"}]},{"publication":"Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)","date_created":"2022-06-12T11:07:34Z","file":[{"date_updated":"2023-03-25T10:01:03Z","relation":"main_file","access_level":"closed","file_size":201942,"file_name":"HoffmannBiehler2022_indrum_congruence.pdf","success":1,"content_type":"application/pdf","file_id":"43096","creator":"maxh","date_created":"2023-03-25T10:01:03Z"}],"department":[{"_id":"97"}],"type":"conference","keyword":["Teaching and learning of specific topics in university mathematics","Transition to","across and from university mathematics","Student Teachers","Geometry","Congruence","Double Discontinuity."],"author":[{"id":"32202","full_name":"Hoffmann, Max","last_name":"Hoffmann","first_name":"Max","orcid":"0000-0002-6964-7123"},{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf","id":"16274"}],"year":"2023","title":"Student Teachers ’ Knowledge of Congruence before a University Course on Geometry","publication_status":"published","date_updated":"2023-03-25T10:11:35Z","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://hal.univ-reims.fr/INDRUM2022/"}],"citation":{"apa":"Hoffmann, M., &#38; Biehler, R. (2023). Student Teachers ’ Knowledge of Congruence before a University Course on Geometry. In M. Trigueros, B. Barquero, R. Hochmuth, &#38; J. Peters (Eds.), <i>Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)</i>. University of Hannover and INDRUM.","ieee":"M. Hoffmann and R. Biehler, “Student Teachers ’ Knowledge of Congruence before a University Course on Geometry,” in <i>Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)</i>, 2023.","short":"M. Hoffmann, R. Biehler, in: M. Trigueros, B. Barquero, R. Hochmuth, J. Peters (Eds.), Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), University of Hannover and INDRUM., Hannover, 2023.","chicago":"Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence before a University Course on Geometry.” In <i>Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)</i>, edited by Marı́a Trigueros, Berta Barquero, Reinhard Hochmuth, and Jana Peters. Hannover: University of Hannover and INDRUM., 2023.","mla":"Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence before a University Course on Geometry.” <i>Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)</i>, edited by Marı́a Trigueros et al., University of Hannover and INDRUM., 2023.","ama":"Hoffmann M, Biehler R. Student Teachers ’ Knowledge of Congruence before a University Course on Geometry. In: Trigueros M, Barquero B, Hochmuth R, Peters J, eds. <i>Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)</i>. University of Hannover and INDRUM.; 2023.","bibtex":"@inproceedings{Hoffmann_Biehler_2023, place={Hannover}, title={Student Teachers ’ Knowledge of Congruence before a University Course on Geometry}, booktitle={Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)}, publisher={University of Hannover and INDRUM.}, author={Hoffmann, Max and Biehler, Rolf}, editor={Trigueros, Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023} }"},"file_date_updated":"2023-03-25T10:01:03Z","quality_controlled":"1","place":"Hannover","oa":"1","status":"public","has_accepted_license":"1","publisher":"University of Hannover and INDRUM.","_id":"31849","editor":[{"last_name":"Trigueros","first_name":"Marı́a","full_name":"Trigueros, Marı́a"},{"last_name":"Barquero","first_name":"Berta","full_name":"Barquero, Berta"},{"full_name":"Hochmuth, Reinhard","last_name":"Hochmuth","first_name":"Reinhard"},{"last_name":"Peters","first_name":"Jana","full_name":"Peters, Jana"}],"user_id":"32202","ddc":["370","510"]},{"author":[{"id":"23686","full_name":"Black, Tobias","last_name":"Black","first_name":"Tobias","orcid":"0000-0001-9963-0800"},{"full_name":"Fuest, Mario","first_name":"Mario","last_name":"Fuest"},{"full_name":"Lankeit, Johannes","first_name":"Johannes","last_name":"Lankeit"},{"last_name":"Mizukami","first_name":"Masaaki","full_name":"Mizukami, Masaaki"}],"publication_identifier":{"issn":["1468-1218"]},"year":"2023","title":"Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source","intvolume":"        73","date_updated":"2023-03-27T07:27:03Z","publication_status":"published","language":[{"iso":"eng"}],"article_number":"103868","doi":"10.1016/j.nonrwa.2023.103868","publication":"Nonlinear Analysis: Real World Applications","date_created":"2023-03-27T07:25:58Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Economics","Econometrics and Finance","General Engineering","General Medicine","Analysis"],"status":"public","publisher":"Elsevier BV","_id":"43105","volume":73,"user_id":"23686","citation":{"ama":"Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. <i>Nonlinear Analysis: Real World Applications</i>. 2023;73. doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2023.103868\">10.1016/j.nonrwa.2023.103868</a>","bibtex":"@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source}, volume={73}, DOI={<a href=\"https://doi.org/10.1016/j.nonrwa.2023.103868\">10.1016/j.nonrwa.2023.103868</a>}, number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami, Masaaki}, year={2023} }","mla":"Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” <i>Nonlinear Analysis: Real World Applications</i>, vol. 73, 103868, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2023.103868\">10.1016/j.nonrwa.2023.103868</a>.","short":"T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (2023).","chicago":"Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” <i>Nonlinear Analysis: Real World Applications</i> 73 (2023). <a href=\"https://doi.org/10.1016/j.nonrwa.2023.103868\">https://doi.org/10.1016/j.nonrwa.2023.103868</a>.","apa":"Black, T., Fuest, M., Lankeit, J., &#38; Mizukami, M. (2023). Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. <i>Nonlinear Analysis: Real World Applications</i>, <i>73</i>, Article 103868. <a href=\"https://doi.org/10.1016/j.nonrwa.2023.103868\">https://doi.org/10.1016/j.nonrwa.2023.103868</a>","ieee":"T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source,” <i>Nonlinear Analysis: Real World Applications</i>, vol. 73, Art. no. 103868, 2023, doi: <a href=\"https://doi.org/10.1016/j.nonrwa.2023.103868\">10.1016/j.nonrwa.2023.103868</a>."}},{"volume":51,"user_id":"88252","publisher":"Elsevier BV","_id":"44077","page":"220-225","status":"public","project":[{"name":"SFB 901: SFB 901","_id":"1"},{"name":"SFB 901 - C: SFB 901 - Project Area C","_id":"4"},{"_id":"16","name":"SFB 901 - C4: SFB 901 - Subproject C4"}],"citation":{"mla":"Maack, Marten. “Online Load Balancing on Uniform Machines with Limited Migration.” <i>Operations Research Letters</i>, vol. 51, no. 3, Elsevier BV, 2023, pp. 220–25, doi:<a href=\"https://doi.org/10.1016/j.orl.2023.02.013\">10.1016/j.orl.2023.02.013</a>.","ama":"Maack M. Online load balancing on uniform machines with limited migration. <i>Operations Research Letters</i>. 2023;51(3):220-225. doi:<a href=\"https://doi.org/10.1016/j.orl.2023.02.013\">10.1016/j.orl.2023.02.013</a>","bibtex":"@article{Maack_2023, title={Online load balancing on uniform machines with limited migration}, volume={51}, DOI={<a href=\"https://doi.org/10.1016/j.orl.2023.02.013\">10.1016/j.orl.2023.02.013</a>}, number={3}, journal={Operations Research Letters}, publisher={Elsevier BV}, author={Maack, Marten}, year={2023}, pages={220–225} }","apa":"Maack, M. (2023). Online load balancing on uniform machines with limited migration. <i>Operations Research Letters</i>, <i>51</i>(3), 220–225. <a href=\"https://doi.org/10.1016/j.orl.2023.02.013\">https://doi.org/10.1016/j.orl.2023.02.013</a>","ieee":"M. Maack, “Online load balancing on uniform machines with limited migration,” <i>Operations Research Letters</i>, vol. 51, no. 3, pp. 220–225, 2023, doi: <a href=\"https://doi.org/10.1016/j.orl.2023.02.013\">10.1016/j.orl.2023.02.013</a>.","chicago":"Maack, Marten. “Online Load Balancing on Uniform Machines with Limited Migration.” <i>Operations Research Letters</i> 51, no. 3 (2023): 220–25. <a href=\"https://doi.org/10.1016/j.orl.2023.02.013\">https://doi.org/10.1016/j.orl.2023.02.013</a>.","short":"M. Maack, Operations Research Letters 51 (2023) 220–225."},"doi":"10.1016/j.orl.2023.02.013","language":[{"iso":"eng"}],"intvolume":"        51","date_updated":"2023-04-21T07:53:42Z","author":[{"last_name":"Maack","first_name":"Marten","full_name":"Maack, Marten"}],"publication_identifier":{"issn":["0167-6377"]},"title":"Online load balancing on uniform machines with limited migration","year":"2023","department":[{"_id":"63"}],"type":"journal_article","keyword":["Applied Mathematics","Industrial and Manufacturing Engineering","Management Science and Operations Research","Software"],"date_created":"2023-04-20T08:59:14Z","publication":"Operations Research Letters","issue":"3"},{"quality_controlled":"1","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Three prominent low order implicit time integration schemes are the first order implicit Euler-method, the second order trapezoidal rule and the second order Ellsiepen method. Its advantages are stability and comparatively low computational cost, however, they require the solution of a nonlinear system of equations. This paper presents a general approach for the construction of third order Runge–Kutta methods by embedding the above mentioned implicit schemes into the class of ELDIRK-methods. These will be defined to have an <jats:italic>Explicit Last</jats:italic> stage in the general Butcher array of <jats:italic>Diagonal Implicit Runge–Kutta</jats:italic> (DIRK) methods, with the consequence, that no additional system of equations must be solved. The main results—valid also for non-linear ordinary differential equations—are as follows: Two extra function calculations are required in order to embed the implicit Euler-method and one extra function calculation is required for the trapezoidal-rule and the Ellsiepen method, in order to obtain the third order properties, respectively. Two numerical examples are concerned with a parachute with viscous damping and a two-dimensional laser beam simulation. Here, we verify the higher order convergence behaviours of the proposed new ELDIRK-methods, and its successful performances for asymptotically exact global error estimation of so-called reversed embedded RK-method are shown.\r\n</jats:p>","lang":"eng"}],"publication":"Computational Mechanics","citation":{"mla":"Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.” <i>Computational Mechanics</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s00466-023-02347-2\">10.1007/s00466-023-02347-2</a>.","ama":"Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation. <i>Computational Mechanics</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s00466-023-02347-2\">10.1007/s00466-023-02347-2</a>","bibtex":"@article{Mahnken_2023, title={Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation}, DOI={<a href=\"https://doi.org/10.1007/s00466-023-02347-2\">10.1007/s00466-023-02347-2</a>}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf}, year={2023} }","apa":"Mahnken, R. (2023). Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation. <i>Computational Mechanics</i>. <a href=\"https://doi.org/10.1007/s00466-023-02347-2\">https://doi.org/10.1007/s00466-023-02347-2</a>","ieee":"R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation,” <i>Computational Mechanics</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s00466-023-02347-2\">10.1007/s00466-023-02347-2</a>.","short":"R. Mahnken, Computational Mechanics (2023).","chicago":"Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.” <i>Computational Mechanics</i>, 2023. <a href=\"https://doi.org/10.1007/s00466-023-02347-2\">https://doi.org/10.1007/s00466-023-02347-2</a>."},"keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"type":"journal_article","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"date_created":"2023-06-23T06:47:36Z","publication_status":"published","date_updated":"2023-06-23T06:48:42Z","title":"Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation","year":"2023","status":"public","publication_identifier":{"issn":["0178-7675","1432-0924"]},"author":[{"id":"335","last_name":"Mahnken","first_name":"Rolf","full_name":"Mahnken, Rolf"}],"user_id":"335","doi":"10.1007/s00466-023-02347-2","publisher":"Springer Science and Business Media LLC","_id":"45757","language":[{"iso":"eng"}]},{"issue":"3","publication":"SIAM Journal on Discrete Mathematics","department":[{"_id":"542"}],"keyword":["General Mathematics"],"type":"journal_article","date_created":"2023-08-01T10:08:32Z","intvolume":"        37","date_updated":"2023-08-01T10:09:35Z","publication_status":"published","author":[{"id":"92748","last_name":"Ma","first_name":"Yulai","full_name":"Ma, Yulai"},{"full_name":"Mattiolo, Davide","first_name":"Davide","last_name":"Mattiolo"},{"id":"15548","last_name":"Steffen","first_name":"Eckhard","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard"},{"id":"88145","first_name":"Isaak Hieronymus","last_name":"Wolf","full_name":"Wolf, Isaak Hieronymus"}],"publication_identifier":{"issn":["0895-4801","1095-7146"]},"year":"2023","title":"Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs","doi":"10.1137/22m1500654","language":[{"iso":"eng"}],"citation":{"mla":"Ma, Yulai, et al. “Pairwise Disjoint Perfect Matchings in R-Edge-Connected r-Regular Graphs.” <i>SIAM Journal on Discrete Mathematics</i>, vol. 37, no. 3, Society for Industrial &#38; Applied Mathematics (SIAM), 2023, pp. 1548–65, doi:<a href=\"https://doi.org/10.1137/22m1500654\">10.1137/22m1500654</a>.","ama":"Ma Y, Mattiolo D, Steffen E, Wolf IH. Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs. <i>SIAM Journal on Discrete Mathematics</i>. 2023;37(3):1548-1565. doi:<a href=\"https://doi.org/10.1137/22m1500654\">10.1137/22m1500654</a>","bibtex":"@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs}, volume={37}, DOI={<a href=\"https://doi.org/10.1137/22m1500654\">10.1137/22m1500654</a>}, number={3}, journal={SIAM Journal on Discrete Mathematics}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={1548–1565} }","apa":"Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2023). Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs. <i>SIAM Journal on Discrete Mathematics</i>, <i>37</i>(3), 1548–1565. <a href=\"https://doi.org/10.1137/22m1500654\">https://doi.org/10.1137/22m1500654</a>","ieee":"Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs,” <i>SIAM Journal on Discrete Mathematics</i>, vol. 37, no. 3, pp. 1548–1565, 2023, doi: <a href=\"https://doi.org/10.1137/22m1500654\">10.1137/22m1500654</a>.","short":"Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, SIAM Journal on Discrete Mathematics 37 (2023) 1548–1565.","chicago":"Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf. “Pairwise Disjoint Perfect Matchings in R-Edge-Connected r-Regular Graphs.” <i>SIAM Journal on Discrete Mathematics</i> 37, no. 3 (2023): 1548–65. <a href=\"https://doi.org/10.1137/22m1500654\">https://doi.org/10.1137/22m1500654</a>."},"status":"public","volume":37,"user_id":"15540","publisher":"Society for Industrial & Applied Mathematics (SIAM)","_id":"46256","page":"1548-1565"},{"author":[{"full_name":"Dröse, Jennifer","first_name":"Jennifer","last_name":"Dröse"},{"full_name":"Prediger, Susanne","first_name":"Susanne","last_name":"Prediger"}],"publication_identifier":{"issn":["0173-5322","1869-2699"]},"status":"public","title":"Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements","year":"2023","date_updated":"2025-01-15T08:36:09Z","publication_status":"published","language":[{"iso":"eng"}],"_id":"40607","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s13138-022-00214-w","user_id":"85820","citation":{"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. <i>Journal für Mathematik-Didaktik</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s13138-022-00214-w\">10.1007/s13138-022-00214-w</a>","short":"J. Dröse, S. Prediger, Journal Für Mathematik-Didaktik (2023).","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.” <i>Journal Für Mathematik-Didaktik</i>, 2023. <a href=\"https://doi.org/10.1007/s13138-022-00214-w\">https://doi.org/10.1007/s13138-022-00214-w</a>.","bibtex":"@article{Dröse_Prediger_2023, title={Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements}, DOI={<a href=\"https://doi.org/10.1007/s13138-022-00214-w\">10.1007/s13138-022-00214-w</a>}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Dröse, Jennifer and Prediger, Susanne}, year={2023} }","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.” <i>Journal Für Mathematik-Didaktik</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s13138-022-00214-w\">10.1007/s13138-022-00214-w</a>.","apa":"Dröse, J., &#38; Prediger, S. (2023). Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements. <i>Journal Für Mathematik-Didaktik</i>. <a href=\"https://doi.org/10.1007/s13138-022-00214-w\">https://doi.org/10.1007/s13138-022-00214-w</a>","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,” <i>Journal für Mathematik-Didaktik</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s13138-022-00214-w\">10.1007/s13138-022-00214-w</a>."},"publication":"Journal für Mathematik-Didaktik","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Teachers’ 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 (<jats:italic>N</jats:italic> = 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.</jats:p>"}],"quality_controlled":"1","date_created":"2023-01-27T18:47:24Z","department":[{"_id":"98"}],"keyword":["Education","General Mathematics"],"type":"journal_article"},{"external_id":{"arxiv":["2205.09189"]},"oa":"1","citation":{"ama":"Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A sufficient condition. <i>Journal of Mathematical Analysis and Applications</i>. 2023;528(1). doi:<a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">10.1016/j.jmaa.2023.127558</a>","bibtex":"@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of exponentials: A sufficient condition}, volume={528}, DOI={<a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">10.1016/j.jmaa.2023.127558</a>}, number={1127558}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell, Jobst}, year={2023} }","mla":"Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 528, no. 1, 127558, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">10.1016/j.jmaa.2023.127558</a>.","chicago":"Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” <i>Journal of Mathematical Analysis and Applications</i> 528, no. 1 (2023). <a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">https://doi.org/10.1016/j.jmaa.2023.127558</a>.","short":"B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023).","apa":"Hinrichs, B., Janssen, D. W., &#38; Ziebell, J. (2023). Super-Gaussian decay of exponentials: A sufficient condition. <i>Journal of Mathematical Analysis and Applications</i>, <i>528</i>(1), Article 127558. <a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">https://doi.org/10.1016/j.jmaa.2023.127558</a>","ieee":"B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials: A sufficient condition,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 528, no. 1, Art. no. 127558, 2023, doi: <a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">10.1016/j.jmaa.2023.127558</a>."},"publisher":"Elsevier BV","_id":"46100","user_id":"99427","volume":528,"status":"public","date_created":"2023-07-20T05:08:49Z","type":"journal_article","keyword":["Applied Mathematics","Analysis"],"department":[{"_id":"799"}],"issue":"1","publication":"Journal of Mathematical Analysis and Applications","main_file_link":[{"open_access":"1"}],"article_number":"127558","language":[{"iso":"eng"}],"doi":"10.1016/j.jmaa.2023.127558","year":"2023","title":"Super-Gaussian decay of exponentials: A sufficient condition","author":[{"id":"99427","first_name":"Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin"},{"full_name":"Janssen, Daan W.","last_name":"Janssen","first_name":"Daan W."},{"full_name":"Ziebell, Jobst","last_name":"Ziebell","first_name":"Jobst"}],"publication_identifier":{"issn":["0022-247X"]},"date_updated":"2026-01-16T09:04:39Z","publication_status":"published","intvolume":"       528"},{"doi":"10.1103/prxquantum.4.020306","article_number":"020306","language":[{"iso":"eng"}],"date_updated":"2025-12-18T16:15:18Z","publication_status":"published","intvolume":"         4","year":"2023","title":"Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States","author":[{"id":"88242","full_name":"Serino, Laura","first_name":"Laura","last_name":"Serino"},{"last_name":"Gil López","first_name":"Jano","full_name":"Gil López, Jano","id":"51223"},{"id":"42777","first_name":"Michael","last_name":"Stefszky","full_name":"Stefszky, Michael"},{"full_name":"Ricken, Raimund","last_name":"Ricken","first_name":"Raimund"},{"id":"13244","orcid":"https://orcid.org/0000-0002-5693-3083","last_name":"Eigner","first_name":"Christof","full_name":"Eigner, Christof"},{"last_name":"Brecht","first_name":"Benjamin","orcid":"0000-0003-4140-0556 ","full_name":"Brecht, Benjamin","id":"27150"},{"full_name":"Silberhorn, Christine","first_name":"Christine","last_name":"Silberhorn","id":"26263"}],"publication_identifier":{"issn":["2691-3399"]},"keyword":["General Physics and Astronomy","Mathematical Physics","Applied Mathematics","Electronic","Optical and Magnetic Materials","Electrical and Electronic Engineering","General Computer Science"],"type":"journal_article","department":[{"_id":"288"},{"_id":"623"},{"_id":"15"}],"date_created":"2023-04-20T12:38:23Z","issue":"2","publication":"PRX Quantum","user_id":"27150","volume":4,"_id":"44081","publisher":"American Physical Society (APS)","status":"public","citation":{"short":"L. Serino, J. Gil López, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, C. Silberhorn, PRX Quantum 4 (2023).","chicago":"Serino, Laura, Jano Gil López, Michael Stefszky, Raimund Ricken, Christof Eigner, Benjamin Brecht, and Christine Silberhorn. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” <i>PRX Quantum</i> 4, no. 2 (2023). <a href=\"https://doi.org/10.1103/prxquantum.4.020306\">https://doi.org/10.1103/prxquantum.4.020306</a>.","ieee":"L. Serino <i>et al.</i>, “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States,” <i>PRX Quantum</i>, vol. 4, no. 2, Art. no. 020306, 2023, doi: <a href=\"https://doi.org/10.1103/prxquantum.4.020306\">10.1103/prxquantum.4.020306</a>.","apa":"Serino, L., Gil López, J., Stefszky, M., Ricken, R., Eigner, C., Brecht, B., &#38; Silberhorn, C. (2023). Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. <i>PRX Quantum</i>, <i>4</i>(2), Article 020306. <a href=\"https://doi.org/10.1103/prxquantum.4.020306\">https://doi.org/10.1103/prxquantum.4.020306</a>","bibtex":"@article{Serino_Gil López_Stefszky_Ricken_Eigner_Brecht_Silberhorn_2023, title={Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States}, volume={4}, DOI={<a href=\"https://doi.org/10.1103/prxquantum.4.020306\">10.1103/prxquantum.4.020306</a>}, number={2020306}, journal={PRX Quantum}, publisher={American Physical Society (APS)}, author={Serino, Laura and Gil López, Jano and Stefszky, Michael and Ricken, Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine}, year={2023} }","ama":"Serino L, Gil López J, Stefszky M, et al. Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. <i>PRX Quantum</i>. 2023;4(2). doi:<a href=\"https://doi.org/10.1103/prxquantum.4.020306\">10.1103/prxquantum.4.020306</a>","mla":"Serino, Laura, et al. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” <i>PRX Quantum</i>, vol. 4, no. 2, 020306, American Physical Society (APS), 2023, doi:<a href=\"https://doi.org/10.1103/prxquantum.4.020306\">10.1103/prxquantum.4.020306</a>."}},{"citation":{"ama":"Lankeit J, Winkler M. Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. <i>Studies in Applied Mathematics</i>. 2023;151(4):1197-1229. doi:<a href=\"https://doi.org/10.1111/sapm.12625\">10.1111/sapm.12625</a>","bibtex":"@article{Lankeit_Winkler_2023, title={Depleting the signal: Analysis of chemotaxis‐consumption models—A survey}, volume={151}, DOI={<a href=\"https://doi.org/10.1111/sapm.12625\">10.1111/sapm.12625</a>}, number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Lankeit, Johannes and Winkler, Michael}, year={2023}, pages={1197–1229} }","mla":"Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of Chemotaxis‐consumption Models—A Survey.” <i>Studies in Applied Mathematics</i>, vol. 151, no. 4, Wiley, 2023, pp. 1197–229, doi:<a href=\"https://doi.org/10.1111/sapm.12625\">10.1111/sapm.12625</a>.","chicago":"Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of Chemotaxis‐consumption Models—A Survey.” <i>Studies in Applied Mathematics</i> 151, no. 4 (2023): 1197–1229. <a href=\"https://doi.org/10.1111/sapm.12625\">https://doi.org/10.1111/sapm.12625</a>.","short":"J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.","apa":"Lankeit, J., &#38; Winkler, M. (2023). Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. <i>Studies in Applied Mathematics</i>, <i>151</i>(4), 1197–1229. <a href=\"https://doi.org/10.1111/sapm.12625\">https://doi.org/10.1111/sapm.12625</a>","ieee":"J. Lankeit and M. Winkler, “Depleting the signal: Analysis of chemotaxis‐consumption models—A survey,” <i>Studies in Applied Mathematics</i>, vol. 151, no. 4, pp. 1197–1229, 2023, doi: <a href=\"https://doi.org/10.1111/sapm.12625\">10.1111/sapm.12625</a>."},"page":"1197-1229","_id":"53338","publisher":"Wiley","user_id":"31496","volume":151,"status":"public","date_created":"2024-04-07T12:50:45Z","keyword":["Applied Mathematics"],"type":"journal_article","publication":"Studies in Applied Mathematics","issue":"4","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We give an overview of analytical results concerned with chemotaxis systems where the signal is absorbed. We recall results on existence and properties of solutions for the prototypical chemotaxis‐consumption model and various variants and review more recent findings on its ability to support the emergence of spatial structures.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1111/sapm.12625","year":"2023","title":"Depleting the signal: Analysis of chemotaxis‐consumption models—A survey","author":[{"last_name":"Lankeit","first_name":"Johannes","full_name":"Lankeit, Johannes"},{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0022-2526","1467-9590"]},"publication_status":"published","date_updated":"2025-12-18T20:16:04Z","intvolume":"       151"},{"status":"public","page":"1009-1038","_id":"50271","publisher":"Society for Industrial & Applied Mathematics (SIAM)","user_id":"71541","volume":52,"citation":{"chicago":"Gharibian, Sevag, and François Le Gall. “Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture.” <i>SIAM Journal on Computing</i> 52, no. 4 (2023): 1009–38. <a href=\"https://doi.org/10.1137/22m1513721\">https://doi.org/10.1137/22m1513721</a>.","short":"S. Gharibian, F. Le Gall, SIAM Journal on Computing 52 (2023) 1009–1038.","ieee":"S. Gharibian and F. Le Gall, “Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture,” <i>SIAM Journal on Computing</i>, vol. 52, no. 4, pp. 1009–1038, 2023, doi: <a href=\"https://doi.org/10.1137/22m1513721\">10.1137/22m1513721</a>.","apa":"Gharibian, S., &#38; Le Gall, F. (2023). Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture. <i>SIAM Journal on Computing</i>, <i>52</i>(4), 1009–1038. <a href=\"https://doi.org/10.1137/22m1513721\">https://doi.org/10.1137/22m1513721</a>","bibtex":"@article{Gharibian_Le Gall_2023, title={Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture}, volume={52}, DOI={<a href=\"https://doi.org/10.1137/22m1513721\">10.1137/22m1513721</a>}, number={4}, journal={SIAM Journal on Computing}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Gharibian, Sevag and Le Gall, François}, year={2023}, pages={1009–1038} }","ama":"Gharibian S, Le Gall F. Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture. <i>SIAM Journal on Computing</i>. 2023;52(4):1009-1038. doi:<a href=\"https://doi.org/10.1137/22m1513721\">10.1137/22m1513721</a>","mla":"Gharibian, Sevag, and François Le Gall. “Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture.” <i>SIAM Journal on Computing</i>, vol. 52, no. 4, Society for Industrial &#38; Applied Mathematics (SIAM), 2023, pp. 1009–38, doi:<a href=\"https://doi.org/10.1137/22m1513721\">10.1137/22m1513721</a>."},"title":"Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture","year":"2023","publication_identifier":{"issn":["0097-5397","1095-7111"]},"author":[{"full_name":"Gharibian, Sevag","orcid":"0000-0002-9992-3379","first_name":"Sevag","last_name":"Gharibian","id":"71541"},{"full_name":"Le Gall, François","first_name":"François","last_name":"Le Gall"}],"publication_status":"published","date_updated":"2026-05-15T08:42:17Z","intvolume":"        52","language":[{"iso":"eng"}],"doi":"10.1137/22m1513721","issue":"4","publication":"SIAM Journal on Computing","date_created":"2024-01-07T18:19:42Z","type":"journal_article","keyword":["General Mathematics","General Computer Science"],"department":[{"_id":"7"},{"_id":"623"}]},{"doi":"10.1007/s41808-023-00250-8","user_id":"100325","_id":"53539","publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}],"date_updated":"2026-07-03T12:36:17Z","publication_status":"published","year":"2023","title":"Asymptotics for the infinite Brownian loop on noncompact symmetric spaces","status":"public","publication_identifier":{"issn":["2296-9020","2296-9039"]},"author":[{"first_name":"Efthymia","last_name":"Papageorgiou","full_name":"Papageorgiou, Efthymia","id":"100325"}],"type":"journal_article","keyword":["Applied Mathematics","Numerical Analysis","Analysis"],"department":[{"_id":"555"}],"date_created":"2024-04-17T13:16:39Z","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length <jats:italic>T</jats:italic> around a fixed origin when <jats:inline-formula><jats:alternatives><jats:tex-math>$$T \\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>T</mml:mi>\r\n                  <mml:mo>→</mml:mo>\r\n                  <mml:mo>+</mml:mo>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>. The aim of this note is to study its long-time asymptotics on Riemannian symmetric spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic> of noncompact type and of general rank. This amounts to the behavior of solutions to the heat equation subject to the Doob transform induced by the ground spherical function. Unlike the standard Brownian motion, we observe in this case phenomena which are similar to the Euclidean setting, namely <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> asymptotic convergence without requiring bi-<jats:italic>K</jats:italic>-invariance for initial data, and strong <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^{\\infty }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> convergence.</jats:p>","lang":"eng"}],"publication":"Journal of Elliptic and Parabolic Equations","citation":{"chicago":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, 2023. <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">https://doi.org/10.1007/s41808-023-00250-8</a>.","short":"E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).","ieee":"E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact symmetric spaces,” <i>Journal of Elliptic and Parabolic Equations</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>.","apa":"Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">https://doi.org/10.1007/s41808-023-00250-8</a>","bibtex":"@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian loop on noncompact symmetric spaces}, DOI={<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }","ama":"Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>","mla":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>."}},{"department":[{"_id":"63"}],"keyword":["Computational Theory and Mathematics","Computer Science Applications","Information Systems","Theoretical Computer Science"],"type":"journal_article","date_created":"2022-02-15T07:38:28Z","project":[{"name":"Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme","_id":"106"}],"citation":{"bibtex":"@article{Castenow_Kling_Knollmann_Meyer auf der Heide_2022, title={A Discrete and Continuous Study of the Max-Chain-Formation Problem}, DOI={<a href=\"https://doi.org/10.1016/j.ic.2022.104877\">10.1016/j.ic.2022.104877</a>}, number={104877}, journal={Information and Computation}, publisher={Elsevier BV}, author={Castenow, Jannik and Kling, Peter and Knollmann, Till and Meyer auf der Heide, Friedhelm}, year={2022} }","short":"J. Castenow, P. Kling, T. Knollmann, F. Meyer auf der Heide, Information and Computation (2022).","ama":"Castenow J, Kling P, Knollmann T, Meyer auf der Heide F. A Discrete and Continuous Study of the Max-Chain-Formation Problem. <i>Information and Computation</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1016/j.ic.2022.104877\">10.1016/j.ic.2022.104877</a>","chicago":"Castenow, Jannik, Peter Kling, Till Knollmann, and Friedhelm Meyer auf der Heide. “A Discrete and Continuous Study of the Max-Chain-Formation Problem.” <i>Information and Computation</i>, 2022. <a href=\"https://doi.org/10.1016/j.ic.2022.104877\">https://doi.org/10.1016/j.ic.2022.104877</a>.","ieee":"J. Castenow, P. Kling, T. Knollmann, and F. Meyer auf der Heide, “A Discrete and Continuous Study of the Max-Chain-Formation Problem,” <i>Information and Computation</i>, Art. no. 104877, 2022, doi: <a href=\"https://doi.org/10.1016/j.ic.2022.104877\">10.1016/j.ic.2022.104877</a>.","apa":"Castenow, J., Kling, P., Knollmann, T., &#38; Meyer auf der Heide, F. (2022). A Discrete and Continuous Study of the Max-Chain-Formation Problem. <i>Information and Computation</i>, Article 104877. <a href=\"https://doi.org/10.1016/j.ic.2022.104877\">https://doi.org/10.1016/j.ic.2022.104877</a>","mla":"Castenow, Jannik, et al. “A Discrete and Continuous Study of the Max-Chain-Formation Problem.” <i>Information and Computation</i>, 104877, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.ic.2022.104877\">10.1016/j.ic.2022.104877</a>."},"publication":"Information and Computation","user_id":"38705","doi":"10.1016/j.ic.2022.104877","_id":"29843","language":[{"iso":"eng"}],"publisher":"Elsevier BV","article_number":"104877","publication_status":"published","date_updated":"2022-02-15T07:41:00Z","author":[{"id":"38705","full_name":"Castenow, Jannik","first_name":"Jannik","last_name":"Castenow"},{"full_name":"Kling, Peter","first_name":"Peter","last_name":"Kling"},{"id":"39241","first_name":"Till","last_name":"Knollmann","orcid":"0000-0003-2014-4696","full_name":"Knollmann, Till"},{"id":"15523","full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm","last_name":"Meyer auf der Heide"}],"publication_identifier":{"issn":["0890-5401"]},"status":"public","year":"2022","title":"A Discrete and Continuous Study of the Max-Chain-Formation Problem"},{"doi":"10.1007/s10957-022-02023-0","user_id":"87909","language":[{"iso":"eng"}],"_id":"30861","publisher":"Springer Science and Business Media LLC","date_updated":"2022-04-08T18:23:02Z","publication_status":"published","title":"Turnpike Property in Optimal Microbial Metabolite Production","year":"2022","status":"public","author":[{"last_name":"Caillau","first_name":"Jean-Baptiste","full_name":"Caillau, Jean-Baptiste"},{"full_name":"Djema, Walid","last_name":"Djema","first_name":"Walid"},{"full_name":"Gouzé, Jean-Luc","first_name":"Jean-Luc","last_name":"Gouzé"},{"id":"87909","full_name":"Maslovskaya, Sofya","first_name":"Sofya","last_name":"Maslovskaya"},{"full_name":"Pomet, Jean-Baptiste","first_name":"Jean-Baptiste","last_name":"Pomet"}],"publication_identifier":{"issn":["0022-3239","1573-2878"]},"type":"journal_article","keyword":["Applied Mathematics","Management Science and Operations Research","Control and Optimization"],"department":[{"_id":"636"}],"date_created":"2022-04-08T17:23:13Z","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We consider the problem of maximization of metabolite production in bacterial cells formulated as a dynamical optimal control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions are concatenations of singular and bang arcs and exhibit the chattering or <jats:italic>Fuller</jats:italic> phenomenon, which is problematic for applications. To avoid chattering, we introduce a reduced model which is still biologically relevant and retains the important structural features of the original problem. Using a combination of analytical and numerical methods, we show that the singular arc is dominant in the studied DOCPs and exhibits the <jats:italic>turnpike</jats:italic> property. This property is further used in order to design simple and realistic suboptimal control strategies.</jats:p>","lang":"eng"}],"publication":"Journal of Optimization Theory and Applications","citation":{"mla":"Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite Production.” <i>Journal of Optimization Theory and Applications</i>, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s10957-022-02023-0\">10.1007/s10957-022-02023-0</a>.","bibtex":"@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property in Optimal Microbial Metabolite Production}, DOI={<a href=\"https://doi.org/10.1007/s10957-022-02023-0\">10.1007/s10957-022-02023-0</a>}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022} }","ama":"Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property in Optimal Microbial Metabolite Production. <i>Journal of Optimization Theory and Applications</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1007/s10957-022-02023-0\">10.1007/s10957-022-02023-0</a>","ieee":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,” <i>Journal of Optimization Theory and Applications</i>, 2022, doi: <a href=\"https://doi.org/10.1007/s10957-022-02023-0\">10.1007/s10957-022-02023-0</a>.","apa":"Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., &#38; Pomet, J.-B. (2022). Turnpike Property in Optimal Microbial Metabolite Production. <i>Journal of Optimization Theory and Applications</i>. <a href=\"https://doi.org/10.1007/s10957-022-02023-0\">https://doi.org/10.1007/s10957-022-02023-0</a>","chicago":"Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya, and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.” <i>Journal of Optimization Theory and Applications</i>, 2022. <a href=\"https://doi.org/10.1007/s10957-022-02023-0\">https://doi.org/10.1007/s10957-022-02023-0</a>.","short":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022)."}},{"citation":{"mla":"Cekić, Mihajlo, et al. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” <i>Inventiones Mathematicae</i>, vol. 229, no. 1, Springer Science and Business Media LLC, 2022, pp. 303–94, doi:<a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>.","bibtex":"@article{Cekić_Delarue_Dyatlov_Paternain_2022, title={The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds}, volume={229}, DOI={<a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>}, number={1}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Cekić, Mihajlo and Delarue, Benjamin and Dyatlov, Semyon and Paternain, Gabriel P.}, year={2022}, pages={303–394} }","ama":"Cekić M, Delarue B, Dyatlov S, Paternain GP. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. <i>Inventiones mathematicae</i>. 2022;229(1):303-394. doi:<a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>","ieee":"M. Cekić, B. Delarue, S. Dyatlov, and G. P. Paternain, “The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds,” <i>Inventiones mathematicae</i>, vol. 229, no. 1, pp. 303–394, 2022, doi: <a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>.","apa":"Cekić, M., Delarue, B., Dyatlov, S., &#38; Paternain, G. P. (2022). The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. <i>Inventiones Mathematicae</i>, <i>229</i>(1), 303–394. <a href=\"https://doi.org/10.1007/s00222-022-01108-x\">https://doi.org/10.1007/s00222-022-01108-x</a>","short":"M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae 229 (2022) 303–394.","chicago":"Cekić, Mihajlo, Benjamin Delarue, Semyon Dyatlov, and Gabriel P. Paternain. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” <i>Inventiones Mathematicae</i> 229, no. 1 (2022): 303–94. <a href=\"https://doi.org/10.1007/s00222-022-01108-x\">https://doi.org/10.1007/s00222-022-01108-x</a>."},"_id":"31982","publisher":"Springer Science and Business Media LLC","page":"303-394","volume":229,"user_id":"70575","status":"public","date_created":"2022-06-20T08:24:17Z","department":[{"_id":"548"}],"keyword":["General Mathematics"],"type":"journal_article","issue":"1","publication":"Inventiones mathematicae","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We show that for a generic conformal metric perturbation of a compact hyperbolic 3-manifold <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Sigma $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>Σ</mml:mi>\r\n                </mml:math></jats:alternatives></jats:inline-formula> with Betti number <jats:inline-formula><jats:alternatives><jats:tex-math>$$b_1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msub>\r\n                    <mml:mi>b</mml:mi>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:msub>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, the order of vanishing of the Ruelle zeta function at zero equals <jats:inline-formula><jats:alternatives><jats:tex-math>$$4-b_1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mn>4</mml:mn>\r\n                    <mml:mo>-</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>b</mml:mi>\r\n                      <mml:mn>1</mml:mn>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, while in the hyperbolic case it is equal to <jats:inline-formula><jats:alternatives><jats:tex-math>$$4-2b_1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mn>4</mml:mn>\r\n                    <mml:mo>-</mml:mo>\r\n                    <mml:mn>2</mml:mn>\r\n                    <mml:msub>\r\n                      <mml:mi>b</mml:mi>\r\n                      <mml:mn>1</mml:mn>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>. This is in contrast to the 2-dimensional case where the order of vanishing is a topological invariant. The proof uses the microlocal approach to dynamical zeta functions, giving a geometric description of generalized Pollicott–Ruelle resonant differential forms at 0 in the hyperbolic case and using first variation for the perturbation. To show that the first variation is generically nonzero we introduce a new identity relating pushforwards of products of resonant and coresonant 2-forms on the sphere bundle <jats:inline-formula><jats:alternatives><jats:tex-math>$$S\\Sigma $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>S</mml:mi>\r\n                    <mml:mi>Σ</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> with harmonic 1-forms on <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Sigma $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>Σ</mml:mi>\r\n                </mml:math></jats:alternatives></jats:inline-formula>.</jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1007/s00222-022-01108-x","author":[{"first_name":"Mihajlo","last_name":"Cekić","full_name":"Cekić, Mihajlo"},{"id":"70575","full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin"},{"last_name":"Dyatlov","first_name":"Semyon","full_name":"Dyatlov, Semyon"},{"first_name":"Gabriel P.","last_name":"Paternain","full_name":"Paternain, Gabriel P."}],"publication_identifier":{"issn":["0020-9910","1432-1297"]},"title":"The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds","year":"2022","intvolume":"       229","date_updated":"2022-06-21T11:55:15Z","publication_status":"published"},{"author":[{"first_name":"Surender","last_name":"Baswana","full_name":"Baswana, Surender"},{"first_name":"Shiv","last_name":"Gupta","full_name":"Gupta, Shiv"},{"full_name":"Knollmann, Till","orcid":"0000-0003-2014-4696","first_name":"Till","last_name":"Knollmann","id":"39241"}],"publication_identifier":{"issn":["0178-4617","1432-0541"]},"title":"Mincut Sensitivity Data Structures for the Insertion of an Edge","year":"2022","status":"public","date_updated":"2022-05-27T10:14:27Z","publication_status":"published","_id":"31479","publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}],"genbank":["tillk"],"doi":"10.1007/s00453-022-00978-0","user_id":"39241","citation":{"mla":"Baswana, Surender, et al. “Mincut Sensitivity Data Structures for the Insertion of an Edge.” <i>Algorithmica</i>, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s00453-022-00978-0\">10.1007/s00453-022-00978-0</a>.","bibtex":"@article{Baswana_Gupta_Knollmann_2022, title={Mincut Sensitivity Data Structures for the Insertion of an Edge}, DOI={<a href=\"https://doi.org/10.1007/s00453-022-00978-0\">10.1007/s00453-022-00978-0</a>}, journal={Algorithmica}, publisher={Springer Science and Business Media LLC}, author={Baswana, Surender and Gupta, Shiv and Knollmann, Till}, year={2022} }","ama":"Baswana S, Gupta S, Knollmann T. Mincut Sensitivity Data Structures for the Insertion of an Edge. <i>Algorithmica</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1007/s00453-022-00978-0\">10.1007/s00453-022-00978-0</a>","ieee":"S. Baswana, S. Gupta, and T. Knollmann, “Mincut Sensitivity Data Structures for the Insertion of an Edge,” <i>Algorithmica</i>, 2022, doi: <a href=\"https://doi.org/10.1007/s00453-022-00978-0\">10.1007/s00453-022-00978-0</a>.","apa":"Baswana, S., Gupta, S., &#38; Knollmann, T. (2022). Mincut Sensitivity Data Structures for the Insertion of an Edge. <i>Algorithmica</i>. <a href=\"https://doi.org/10.1007/s00453-022-00978-0\">https://doi.org/10.1007/s00453-022-00978-0</a>","chicago":"Baswana, Surender, Shiv Gupta, and Till Knollmann. “Mincut Sensitivity Data Structures for the Insertion of an Edge.” <i>Algorithmica</i>, 2022. <a href=\"https://doi.org/10.1007/s00453-022-00978-0\">https://doi.org/10.1007/s00453-022-00978-0</a>.","short":"S. Baswana, S. Gupta, T. Knollmann, Algorithmica (2022)."},"publication":"Algorithmica","project":[{"_id":"1","name":"SFB 901: SFB 901"},{"_id":"2","name":"SFB 901 - A: SFB 901 - Project Area A"},{"name":"SFB 901 - A1: SFB 901 - Subproject A1","_id":"5"}],"date_created":"2022-05-27T10:09:24Z","department":[{"_id":"63"}],"type":"journal_article","keyword":["Applied Mathematics","Computer Science Applications","General Computer Science"]},{"citation":{"ama":"von der Gracht S, Nijholt E, Rink B. Amplified steady state bifurcations in feedforward networks. <i>Nonlinearity</i>. 2022;35(4):2073-2120. doi:<a href=\"https://doi.org/10.1088/1361-6544/ac5463\">10.1088/1361-6544/ac5463</a>","bibtex":"@article{von der Gracht_Nijholt_Rink_2022, title={Amplified steady state bifurcations in feedforward networks}, volume={35}, DOI={<a href=\"https://doi.org/10.1088/1361-6544/ac5463\">10.1088/1361-6544/ac5463</a>}, number={4}, journal={Nonlinearity}, publisher={IOP Publishing}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2022}, pages={2073–2120} }","mla":"von der Gracht, Sören, et al. “Amplified Steady State Bifurcations in Feedforward Networks.” <i>Nonlinearity</i>, vol. 35, no. 4, IOP Publishing, 2022, pp. 2073–120, doi:<a href=\"https://doi.org/10.1088/1361-6544/ac5463\">10.1088/1361-6544/ac5463</a>.","short":"S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Amplified Steady State Bifurcations in Feedforward Networks.” <i>Nonlinearity</i> 35, no. 4 (2022): 2073–2120. <a href=\"https://doi.org/10.1088/1361-6544/ac5463\">https://doi.org/10.1088/1361-6544/ac5463</a>.","apa":"von der Gracht, S., Nijholt, E., &#38; Rink, B. (2022). Amplified steady state bifurcations in feedforward networks. <i>Nonlinearity</i>, <i>35</i>(4), 2073–2120. <a href=\"https://doi.org/10.1088/1361-6544/ac5463\">https://doi.org/10.1088/1361-6544/ac5463</a>","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Amplified steady state bifurcations in feedforward networks,” <i>Nonlinearity</i>, vol. 35, no. 4, pp. 2073–2120, 2022, doi: <a href=\"https://doi.org/10.1088/1361-6544/ac5463\">10.1088/1361-6544/ac5463</a>."},"external_id":{"arxiv":["2105.02547"]},"status":"public","_id":"33264","publisher":"IOP Publishing","page":"2073-2120","volume":35,"user_id":"97359","issue":"4","publication":"Nonlinearity","extern":"1","abstract":[{"lang":"eng","text":"We investigate bifurcations in feedforward coupled cell networks. Feedforward structure (the absence of feedback) can be defined by a partial order on the cells. We use this property to study generic one-parameter steady state bifurcations for such networks. Branching solutions and their asymptotics are described in terms of Taylor coefficients of the internal dynamics. They can be determined via an algorithm that only exploits the network structure. Similar to previous results on feedforward chains, we observe amplifications of the growth rates of steady state branches induced by the feedforward structure. However, contrary to these earlier results, as the interaction scenarios can be more complicated in general feedforward networks, different branching patterns and different amplifications can occur for different regions in the space of Taylor coefficients."}],"date_created":"2022-09-06T11:38:15Z","type":"journal_article","keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"author":[{"last_name":"von der Gracht","orcid":"0000-0002-8054-2058","first_name":"Sören","full_name":"von der Gracht, Sören","id":"97359"},{"first_name":"Eddie","last_name":"Nijholt","full_name":"Nijholt, Eddie"},{"full_name":"Rink, Bob","first_name":"Bob","last_name":"Rink"}],"publication_identifier":{"issn":["0951-7715","1361-6544"]},"year":"2022","title":"Amplified steady state bifurcations in feedforward networks","intvolume":"        35","publication_status":"published","date_updated":"2022-09-07T08:36:46Z","language":[{"iso":"eng"}],"doi":"10.1088/1361-6544/ac5463"},{"article_number":"2200049","_id":"33332","publisher":"Wiley","language":[{"iso":"eng"}],"doi":"10.1002/qute.202200049","user_id":"42514","year":"2022","title":"Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic Control of Coupling","status":"public","author":[{"first_name":"Frederik","last_name":"Bopp","full_name":"Bopp, Frederik"},{"full_name":"Rojas, Jonathan","last_name":"Rojas","first_name":"Jonathan"},{"last_name":"Revenga","first_name":"Natalia","full_name":"Revenga, Natalia"},{"full_name":"Riedl, Hubert","last_name":"Riedl","first_name":"Hubert"},{"full_name":"Sbresny, Friedrich","first_name":"Friedrich","last_name":"Sbresny"},{"last_name":"Boos","first_name":"Katarina","full_name":"Boos, Katarina"},{"full_name":"Simmet, Tobias","first_name":"Tobias","last_name":"Simmet"},{"full_name":"Ahmadi, Arash","last_name":"Ahmadi","first_name":"Arash"},{"full_name":"Gershoni, David","last_name":"Gershoni","first_name":"David"},{"last_name":"Kasprzak","first_name":"Jacek","full_name":"Kasprzak, Jacek"},{"full_name":"Ludwig, Arne","last_name":"Ludwig","first_name":"Arne"},{"first_name":"Stephan","last_name":"Reitzenstein","full_name":"Reitzenstein, Stephan"},{"full_name":"Wieck, Andreas","last_name":"Wieck","first_name":"Andreas"},{"id":"37763","first_name":"Dirk","last_name":"Reuter","full_name":"Reuter, Dirk"},{"full_name":"Müller, Kai","last_name":"Müller","first_name":"Kai"},{"full_name":"Finley, Jonathan J.","last_name":"Finley","first_name":"Jonathan J."}],"publication_identifier":{"issn":["2511-9044","2511-9044"]},"date_updated":"2022-09-12T07:18:06Z","publication_status":"published","date_created":"2022-09-12T07:17:26Z","keyword":["Electrical and Electronic Engineering","Computational Theory and Mathematics","Condensed Matter Physics","Mathematical Physics","Nuclear and High Energy Physics","Electronic","Optical and Magnetic Materials","Statistical and Nonlinear Physics"],"type":"journal_article","department":[{"_id":"15"},{"_id":"230"}],"publication":"Advanced Quantum Technologies","citation":{"mla":"Bopp, Frederik, et al. “Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic Control of Coupling.” <i>Advanced Quantum Technologies</i>, 2200049, Wiley, 2022, doi:<a href=\"https://doi.org/10.1002/qute.202200049\">10.1002/qute.202200049</a>.","apa":"Bopp, F., Rojas, J., Revenga, N., Riedl, H., Sbresny, F., Boos, K., Simmet, T., Ahmadi, A., Gershoni, D., Kasprzak, J., Ludwig, A., Reitzenstein, S., Wieck, A., Reuter, D., Müller, K., &#38; Finley, J. J. (2022). Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic Control of Coupling. <i>Advanced Quantum Technologies</i>, Article 2200049. <a href=\"https://doi.org/10.1002/qute.202200049\">https://doi.org/10.1002/qute.202200049</a>","ieee":"F. Bopp <i>et al.</i>, “Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic Control of Coupling,” <i>Advanced Quantum Technologies</i>, Art. no. 2200049, 2022, doi: <a href=\"https://doi.org/10.1002/qute.202200049\">10.1002/qute.202200049</a>.","short":"F. Bopp, J. Rojas, N. Revenga, H. Riedl, F. Sbresny, K. Boos, T. Simmet, A. Ahmadi, D. Gershoni, J. Kasprzak, A. Ludwig, S. Reitzenstein, A. Wieck, D. Reuter, K. Müller, J.J. Finley, Advanced Quantum Technologies (2022).","ama":"Bopp F, Rojas J, Revenga N, et al. Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic Control of Coupling. <i>Advanced Quantum Technologies</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1002/qute.202200049\">10.1002/qute.202200049</a>","chicago":"Bopp, Frederik, Jonathan Rojas, Natalia Revenga, Hubert Riedl, Friedrich Sbresny, Katarina Boos, Tobias Simmet, et al. “Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic Control of Coupling.” <i>Advanced Quantum Technologies</i>, 2022. <a href=\"https://doi.org/10.1002/qute.202200049\">https://doi.org/10.1002/qute.202200049</a>.","bibtex":"@article{Bopp_Rojas_Revenga_Riedl_Sbresny_Boos_Simmet_Ahmadi_Gershoni_Kasprzak_et al._2022, title={Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic Control of Coupling}, DOI={<a href=\"https://doi.org/10.1002/qute.202200049\">10.1002/qute.202200049</a>}, number={2200049}, journal={Advanced Quantum Technologies}, publisher={Wiley}, author={Bopp, Frederik and Rojas, Jonathan and Revenga, Natalia and Riedl, Hubert and Sbresny, Friedrich and Boos, Katarina and Simmet, Tobias and Ahmadi, Arash and Gershoni, David and Kasprzak, Jacek and et al.}, year={2022} }"}},{"user_id":"14931","page":"1-6","publisher":"Informa UK Limited","_id":"34261","status":"public","project":[{"name":"TRR 285: TRR 285","grant_number":"418701707","_id":"130"},{"name":"TRR 285 - B: TRR 285 - Project Area B","_id":"132"},{"name":"TRR 285 – B03: TRR 285 - Subproject B03","_id":"142"}],"citation":{"ama":"Harzheim S, Hofmann M, Wallmersperger T. Numerical fatigue life prediction of corroded and non-corroded clinched joints. <i>Mechanics of Advanced Materials and Structures</i>. Published online 2022:1-6. doi:<a href=\"https://doi.org/10.1080/15376494.2022.2140233\">10.1080/15376494.2022.2140233</a>","bibtex":"@article{Harzheim_Hofmann_Wallmersperger_2022, title={Numerical fatigue life prediction of corroded and non-corroded clinched joints}, DOI={<a href=\"https://doi.org/10.1080/15376494.2022.2140233\">10.1080/15376494.2022.2140233</a>}, journal={Mechanics of Advanced Materials and Structures}, publisher={Informa UK Limited}, author={Harzheim, Sven and Hofmann, Martin and Wallmersperger, Thomas}, year={2022}, pages={1–6} }","mla":"Harzheim, Sven, et al. “Numerical Fatigue Life Prediction of Corroded and Non-Corroded Clinched Joints.” <i>Mechanics of Advanced Materials and Structures</i>, Informa UK Limited, 2022, pp. 1–6, doi:<a href=\"https://doi.org/10.1080/15376494.2022.2140233\">10.1080/15376494.2022.2140233</a>.","short":"S. Harzheim, M. Hofmann, T. Wallmersperger, Mechanics of Advanced Materials and Structures (2022) 1–6.","chicago":"Harzheim, Sven, Martin Hofmann, and Thomas Wallmersperger. “Numerical Fatigue Life Prediction of Corroded and Non-Corroded Clinched Joints.” <i>Mechanics of Advanced Materials and Structures</i>, 2022, 1–6. <a href=\"https://doi.org/10.1080/15376494.2022.2140233\">https://doi.org/10.1080/15376494.2022.2140233</a>.","apa":"Harzheim, S., Hofmann, M., &#38; Wallmersperger, T. (2022). Numerical fatigue life prediction of corroded and non-corroded clinched joints. <i>Mechanics of Advanced Materials and Structures</i>, 1–6. <a href=\"https://doi.org/10.1080/15376494.2022.2140233\">https://doi.org/10.1080/15376494.2022.2140233</a>","ieee":"S. Harzheim, M. Hofmann, and T. Wallmersperger, “Numerical fatigue life prediction of corroded and non-corroded clinched joints,” <i>Mechanics of Advanced Materials and Structures</i>, pp. 1–6, 2022, doi: <a href=\"https://doi.org/10.1080/15376494.2022.2140233\">10.1080/15376494.2022.2140233</a>."},"doi":"10.1080/15376494.2022.2140233","language":[{"iso":"eng"}],"date_updated":"2023-01-02T11:10:49Z","publication_status":"published","title":"Numerical fatigue life prediction of corroded and non-corroded clinched joints","year":"2022","author":[{"last_name":"Harzheim","first_name":"Sven","full_name":"Harzheim, Sven"},{"first_name":"Martin","last_name":"Hofmann","full_name":"Hofmann, Martin"},{"full_name":"Wallmersperger, Thomas","first_name":"Thomas","last_name":"Wallmersperger"}],"publication_identifier":{"issn":["1537-6494","1537-6532"]},"type":"journal_article","keyword":["Mechanical Engineering","Mechanics of Materials","General Materials Science","General Mathematics","Civil and Structural Engineering"],"department":[{"_id":"630"}],"date_created":"2022-12-07T10:03:17Z","abstract":[{"text":"Mechanical clinching is used to create lightweight hybrid structures. In order to estimate the service life of clinched components, its fatigue properties need to be known under different mechanical loading conditions. In addition to fatigue, corrosion is another factor that affects the fatigue life of clinched joints. In the literature, many corrosion and high-cycle fatigue damage models exist. However, little is known about how both phenomena interact in clinched joints. In this article, the influence of galvanic corrosion on clinched EN AW-6014/HCT590X + Z sheets on the fatigue life is investigated by means of numerical simulations and experimental results. An accurate prediction of the Wöhler lines of non-corroded and pre-corroded clinched specimens is shown.","lang":"eng"}],"publication":"Mechanics of Advanced Materials and Structures"},{"citation":{"chicago":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” <i>Journal of the European Mathematical Society</i> 24, no. 3 (2022): 851–923. <a href=\"https://doi.org/10.4171/jems/1103\">https://doi.org/10.4171/jems/1103</a>.","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,” <i>Journal of the European Mathematical Society</i>, vol. 24, no. 3, pp. 851–923, 2022, doi: <a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>.","apa":"Guedes Bonthonneau, Y., &#38; Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. <i>Journal of the European Mathematical Society</i>, <i>24</i>(3), 851–923. <a href=\"https://doi.org/10.4171/jems/1103\">https://doi.org/10.4171/jems/1103</a>","bibtex":"@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances for manifolds with hyperbolic cusps}, volume={24}, DOI={<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>}, 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} }","ama":"Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. <i>Journal of the European Mathematical Society</i>. 2022;24(3):851-923. doi:<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>","mla":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” <i>Journal of the European Mathematical Society</i>, vol. 24, no. 3, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 851–923, doi:<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>."},"page":"851-923","_id":"35306","publisher":"European Mathematical Society - EMS - Publishing House GmbH","user_id":"49178","volume":24,"status":"public","date_created":"2023-01-05T16:23:34Z","keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"issue":"3","publication":"Journal of the European Mathematical Society","language":[{"iso":"eng"}],"doi":"10.4171/jems/1103","year":"2022","title":"Ruelle–Pollicott resonances for manifolds with hyperbolic cusps","author":[{"full_name":"Guedes Bonthonneau, Yannick","last_name":"Guedes Bonthonneau","first_name":"Yannick"},{"full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","first_name":"Tobias","id":"49178"}],"publication_identifier":{"issn":["1435-9855"]},"publication_status":"published","date_updated":"2023-01-06T08:47:35Z","intvolume":"        24"}]