[{"user_id":"113768","_id":"63394","language":[{"iso":"eng"}],"date_updated":"2025-12-22T08:37:35Z","year":"2025","status":"public","title":"Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices","author":[{"full_name":"Byun, Sung-Soo","last_name":"Byun","first_name":"Sung-Soo"},{"orcid":"0000-0001-9624-2685","first_name":"Jonas","last_name":"Jalowy","full_name":"Jalowy, Jonas","id":"113768"},{"first_name":"Yong-Woo","last_name":"Lee","full_name":"Lee, Yong-Woo"},{"full_name":"Schehr, Grégory","first_name":"Grégory","last_name":"Schehr"}],"type":"preprint","department":[{"_id":"94"}],"external_id":{"arxiv":["2511.09191"]},"date_created":"2025-12-22T08:37:02Z","abstract":[{"text":"We study the statistics of the number of real eigenvalues in the elliptic deformation of the real Ginibre ensemble. As the matrix dimension grows, the law of large numbers and the central limit theorem for the number of real eigenvalues are well understood, but the probabilities of rare events remain largely unexplored. Large deviation type results have been obtained only in extreme cases, when either a vanishingly small proportion of eigenvalues are real or almost all eigenvalues are real. Here, in both the strong and weak asymmetry regimes, we derive the probabilities of rare events in the moderate-to-large deviation regime, thereby providing a natural connection between the previously known regime of Gaussian fluctuations and the large deviation regime. Our results are new even for the classical real Ginibre ensemble.","lang":"eng"}],"publication":"arXiv:2511.09191","citation":{"mla":"Byun, Sung-Soo, et al. “Moderate-to-Large Deviation Asymptotics for Real Eigenvalues of the Elliptic Ginibre Matrices.” <i>ArXiv:2511.09191</i>, 2025.","bibtex":"@article{Byun_Jalowy_Lee_Schehr_2025, title={Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices}, journal={arXiv:2511.09191}, author={Byun, Sung-Soo and Jalowy, Jonas and Lee, Yong-Woo and Schehr, Grégory}, year={2025} }","ama":"Byun S-S, Jalowy J, Lee Y-W, Schehr G. Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices. <i>arXiv:251109191</i>. Published online 2025.","ieee":"S.-S. Byun, J. Jalowy, Y.-W. Lee, and G. Schehr, “Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices,” <i>arXiv:2511.09191</i>. 2025.","apa":"Byun, S.-S., Jalowy, J., Lee, Y.-W., &#38; Schehr, G. (2025). Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices. In <i>arXiv:2511.09191</i>.","chicago":"Byun, Sung-Soo, Jonas Jalowy, Yong-Woo Lee, and Grégory Schehr. “Moderate-to-Large Deviation Asymptotics for Real Eigenvalues of the Elliptic Ginibre Matrices.” <i>ArXiv:2511.09191</i>, 2025.","short":"S.-S. Byun, J. Jalowy, Y.-W. Lee, G. Schehr, ArXiv:2511.09191 (2025)."}},{"citation":{"mla":"Höfert, Antonia, et al. “Zeros of Polynomial Powers under the Heat Flow.” <i>ArXiv:2512.17808</i>, 2025.","bibtex":"@article{Höfert_Jalowy_Kabluchko_2025, title={Zeros of polynomial powers under the heat flow}, journal={arXiv:2512.17808}, author={Höfert, Antonia and Jalowy, Jonas and Kabluchko, Zakhar}, year={2025} }","ama":"Höfert A, Jalowy J, Kabluchko Z. Zeros of polynomial powers under the heat flow. <i>arXiv:251217808</i>. Published online 2025.","ieee":"A. Höfert, J. Jalowy, and Z. Kabluchko, “Zeros of polynomial powers under the heat flow,” <i>arXiv:2512.17808</i>. 2025.","apa":"Höfert, A., Jalowy, J., &#38; Kabluchko, Z. (2025). Zeros of polynomial powers under the heat flow. In <i>arXiv:2512.17808</i>.","short":"A. Höfert, J. Jalowy, Z. Kabluchko, ArXiv:2512.17808 (2025).","chicago":"Höfert, Antonia, Jonas Jalowy, and Zakhar Kabluchko. “Zeros of Polynomial Powers under the Heat Flow.” <i>ArXiv:2512.17808</i>, 2025."},"publication":"arXiv:2512.17808","abstract":[{"lang":"eng","text":"We study the evolution of zeros of high polynomial powers under the heat flow. For any fixed polynomial $P(z)$, we prove that the empirical zero distribution of its heat-evolved $n$-th power converges to a distribution on the complex plane as $n$ tends to infinity. We describe this limit distribution $μ_t$ as a function of the time parameter $t$ of the heat evolution: For small time, zeros start to spread out in approximately semicircular distributions, then intricate curves start to form and merge, until for large time, the zero distribution approaches a widespread semicircle law through the initial center of mass. The Stieltjes transform of the limit distribution $μ_t$ satisfies a self-consistent equation and a Burgers' equation. The present paper deals with general complex-rooted polynomials for which, in contrast to the real-rooted case, no free-probabilistic representation for $μ_t$ is available."}],"date_created":"2025-12-22T08:36:24Z","external_id":{"arxiv":["2512.17808"]},"department":[{"_id":"94"}],"type":"preprint","author":[{"full_name":"Höfert, Antonia","last_name":"Höfert","first_name":"Antonia"},{"id":"113768","full_name":"Jalowy, Jonas","first_name":"Jonas","last_name":"Jalowy","orcid":"0000-0001-9624-2685"},{"full_name":"Kabluchko, Zakhar","first_name":"Zakhar","last_name":"Kabluchko"}],"title":"Zeros of polynomial powers under the heat flow","year":"2025","status":"public","date_updated":"2025-12-22T08:36:46Z","language":[{"iso":"eng"}],"_id":"63393","user_id":"113768"},{"date_updated":"2026-01-04T21:29:36Z","author":[{"full_name":"Hoffmann, Max","first_name":"Max","last_name":"Hoffmann"}],"status":"public","title":"Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry","year":"2025","editor":[{"full_name":"Bosch, Marianna","first_name":"Marianna","last_name":"Bosch"},{"full_name":"Bolondi, Giorgio","last_name":"Bolondi","first_name":"Giorgio"},{"last_name":"Carreira","first_name":"Susana","full_name":"Carreira, Susana"},{"last_name":"Michael","first_name":"Gaidoschik","full_name":"Michael, Gaidoschik"},{"first_name":"Spagnolo","last_name":"Camilla","full_name":"Camilla, Spagnolo"}],"user_id":"32202","_id":"63434","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://hal.science/CERME14/hal-05237875v1"}],"quality_controlled":"1","citation":{"bibtex":"@inproceedings{Hoffmann_2025, title={Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry}, booktitle={Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)}, author={Hoffmann, Max}, editor={Bosch, Marianna and Bolondi, Giorgio and Carreira, Susana and Michael, Gaidoschik and Camilla, Spagnolo}, year={2025} }","chicago":"Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks: Exemplary Analyses in the Context of Symmetry.” In <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, edited by Marianna Bosch, Giorgio Bolondi, Susana Carreira, Gaidoschik Michael, and Spagnolo Camilla, 2025.","short":"M. Hoffmann, in: M. Bosch, G. Bolondi, S. Carreira, G. Michael, S. Camilla (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), 2025.","ama":"Hoffmann M. Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry. In: Bosch M, Bolondi G, Carreira S, Michael G, Camilla S, eds. <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>. ; 2025.","ieee":"M. Hoffmann, “Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry,” in <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, 2025.","mla":"Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks: Exemplary Analyses in the Context of Symmetry.” <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, edited by Marianna Bosch et al., 2025.","apa":"Hoffmann, M. (2025). Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry. In M. Bosch, G. Bolondi, S. Carreira, G. Michael, &#38; S. Camilla (Eds.), <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>."},"publication":"Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)","oa":"1","department":[{"_id":"97"},{"_id":"643"}],"type":"conference","keyword":["hoffmann","reviewed","proceedings"],"date_created":"2026-01-04T21:26:04Z"},{"citation":{"bibtex":"@article{Hoffmann_2025, title={Digitale Perspektiven auf das Heron-Verfahren}, DOI={<a href=\"https://doi.org/10.5555/ml-253-2025_07\">https://doi.org/10.5555/ml-253-2025_07</a>}, number={253}, journal={mathematik lehren}, author={Hoffmann, Max}, year={2025}, pages={39–44} }","ama":"Hoffmann M. Digitale Perspektiven auf das Heron-Verfahren. <i>mathematik lehren</i>. 2025;(253):39-44. doi:<a href=\"https://doi.org/10.5555/ml-253-2025_07\">https://doi.org/10.5555/ml-253-2025_07</a>","mla":"Hoffmann, Max. “Digitale Perspektiven auf das Heron-Verfahren.” <i>mathematik lehren</i>, no. 253, 2025, pp. 39–44, doi:<a href=\"https://doi.org/10.5555/ml-253-2025_07\">https://doi.org/10.5555/ml-253-2025_07</a>.","chicago":"Hoffmann, Max. “Digitale Perspektiven auf das Heron-Verfahren.” <i>mathematik lehren</i>, no. 253 (2025): 39–44. <a href=\"https://doi.org/10.5555/ml-253-2025_07\">https://doi.org/10.5555/ml-253-2025_07</a>.","short":"M. Hoffmann, mathematik lehren (2025) 39–44.","ieee":"M. Hoffmann, “Digitale Perspektiven auf das Heron-Verfahren,” <i>mathematik lehren</i>, no. 253, pp. 39–44, 2025, doi: <a href=\"https://doi.org/10.5555/ml-253-2025_07\">https://doi.org/10.5555/ml-253-2025_07</a>.","apa":"Hoffmann, M. (2025). Digitale Perspektiven auf das Heron-Verfahren. <i>mathematik lehren</i>, <i>253</i>, 39–44. <a href=\"https://doi.org/10.5555/ml-253-2025_07\">https://doi.org/10.5555/ml-253-2025_07</a>"},"popular_science":"1","publication":"mathematik lehren","issue":"253","department":[{"_id":"97"},{"_id":"643"}],"type":"journal_article","date_created":"2026-01-04T17:37:54Z","article_type":"original","publication_status":"published","date_updated":"2026-01-04T17:38:00Z","author":[{"last_name":"Hoffmann","orcid":"0000-0002-6964-7123","first_name":"Max","full_name":"Hoffmann, Max","id":"32202"}],"status":"public","title":"Digitale Perspektiven auf das Heron-Verfahren","year":"2025","user_id":"32202","doi":"https://doi.org/10.5555/ml-253-2025_07","_id":"63433","language":[{"iso":"ger"}],"page":"39-44"},{"oa":"1","external_id":{"arxiv":["2411.14900"]},"project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"citation":{"apa":"Claes, L., Lankeit, J., &#38; Winkler, M. (2025). A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>35</i>(11), 2465–2512. <a href=\"https://doi.org/10.1142/s0218202525500447\">https://doi.org/10.1142/s0218202525500447</a>","ieee":"L. Claes, J. Lankeit, and M. Winkler, “A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 35, no. 11, pp. 2465–2512, 2025, doi: <a href=\"https://doi.org/10.1142/s0218202525500447\">10.1142/s0218202525500447</a>.","short":"L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 2465–2512.","chicago":"Claes, Leander, Johannes Lankeit, and Michael Winkler. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” <i>Mathematical Models and Methods in Applied Sciences</i> 35, no. 11 (2025): 2465–2512. <a href=\"https://doi.org/10.1142/s0218202525500447\">https://doi.org/10.1142/s0218202525500447</a>.","mla":"Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025, pp. 2465–512, doi:<a href=\"https://doi.org/10.1142/s0218202525500447\">10.1142/s0218202525500447</a>.","ama":"Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. <i>Mathematical Models and Methods in Applied Sciences</i>. 2025;35(11):2465-2512. doi:<a href=\"https://doi.org/10.1142/s0218202525500447\">10.1142/s0218202525500447</a>","bibtex":"@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35}, DOI={<a href=\"https://doi.org/10.1142/s0218202525500447\">10.1142/s0218202525500447</a>}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler, Michael}, year={2025}, pages={2465–2512} }"},"user_id":"11829","volume":35,"page":"2465-2512","publisher":"World Scientific Pub Co Pte Ltd","_id":"54837","status":"public","type":"journal_article","department":[{"_id":"90"},{"_id":"49"}],"date_created":"2024-06-20T13:43:42Z","publication":"Mathematical Models and Methods in Applied Sciences","issue":"11","doi":"10.1142/s0218202525500447","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2411.14900"}],"language":[{"iso":"eng"}],"date_updated":"2026-01-05T07:59:41Z","intvolume":"        35","title":"A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions","year":"2025","author":[{"id":"11829","first_name":"Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","full_name":"Claes, Leander"},{"full_name":"Lankeit, Johannes","last_name":"Lankeit","first_name":"Johannes"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"publication_identifier":{"issn":["1793-6314"]}},{"citation":{"mla":"Konopik, Michael, et al. “Second Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems.” <i>ArXiv:2507.06024</i>, 2025.","ama":"Konopik M, Leyendecker S, Maslovskaya S, Sina Ober-Blöbaum SO-B, Almagro RTSM de. Second order optimality conditions in a new Lagrangian formulation for optimal control problems. <i>arXiv:250706024</i>. Published online 2025.","bibtex":"@article{Konopik_Leyendecker_Maslovskaya_Sina Ober-Blöbaum_Almagro_2025, title={Second order optimality conditions in a new Lagrangian formulation for optimal control problems}, journal={arXiv:2507.06024}, author={Konopik, Michael and Leyendecker, Sigrid and Maslovskaya, Sofya and Sina Ober-Blöbaum, Sina Ober-Blöbaum and Almagro, Rodrigo T. Sato Martín de}, year={2025} }","apa":"Konopik, M., Leyendecker, S., Maslovskaya, S., Sina Ober-Blöbaum, S. O.-B., &#38; Almagro, R. T. S. M. de. (2025). Second order optimality conditions in a new Lagrangian formulation for optimal control problems. In <i>arXiv:2507.06024</i>.","ieee":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. O.-B. Sina Ober-Blöbaum, and R. T. S. M. de Almagro, “Second order optimality conditions in a new Lagrangian formulation for optimal control problems,” <i>arXiv:2507.06024</i>. 2025.","short":"M. Konopik, S. Leyendecker, S. Maslovskaya, S.O.-B. Sina Ober-Blöbaum, R.T.S.M. de Almagro, ArXiv:2507.06024 (2025).","chicago":"Konopik, Michael, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum Sina Ober-Blöbaum, and Rodrigo T. Sato Martín de Almagro. “Second Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems.” <i>ArXiv:2507.06024</i>, 2025."},"publication":"arXiv:2507.06024","abstract":[{"text":"It has been shown recently that optimal control problems with the dynamical constraint given by a second order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach. In this paper we extend the first order necessary optimality conditions obtained previously to second order optimality conditions. This results in a complete characterization of the optimality conditions in a new Lagrangian form.","lang":"eng"}],"date_created":"2026-01-06T18:28:18Z","external_id":{"arxiv":["2507.06024"]},"department":[{"_id":"636"}],"type":"preprint","author":[{"full_name":"Konopik, Michael","last_name":"Konopik","first_name":"Michael"},{"first_name":"Sigrid","last_name":"Leyendecker","full_name":"Leyendecker, Sigrid"},{"first_name":"Sofya","last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya"},{"full_name":"Sina Ober-Blöbaum, Sina Ober-Blöbaum","first_name":"Sina Ober-Blöbaum","last_name":"Sina Ober-Blöbaum"},{"last_name":"Almagro","first_name":"Rodrigo T. Sato Martín de","full_name":"Almagro, Rodrigo T. Sato Martín de"}],"year":"2025","status":"public","title":"Second order optimality conditions in a new Lagrangian formulation for optimal control problems","date_updated":"2026-01-06T18:29:15Z","_id":"63510","language":[{"iso":"eng"}],"user_id":"87909"},{"publication":"Journal of Nonlinear Science","issue":"11","citation":{"ieee":"M. Konopik, R. T. Sato Martín de Almagro, S. Maslovskaya, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term,” <i>Journal of Nonlinear Science</i>, vol. 36, no. 11, 2025, doi: <a href=\"https://doi.org/10.1007/s00332-025-10229-5\">10.1007/s00332-025-10229-5</a>.","apa":"Konopik, M., T. Sato Martín de Almagro, R., Maslovskaya, S., Ober-Blöbaum, S., &#38; Leyendecker, S. (2025). Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Nonlinear Science</i>, <i>36</i>(11). <a href=\"https://doi.org/10.1007/s00332-025-10229-5\">https://doi.org/10.1007/s00332-025-10229-5</a>","mla":"Konopik, Michael, et al. “Variational Integrators for a New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Nonlinear Science</i>, vol. 36, no. 11, 2025, doi:<a href=\"https://doi.org/10.1007/s00332-025-10229-5\">10.1007/s00332-025-10229-5</a>.","bibtex":"@article{Konopik_T. Sato Martín de Almagro_Maslovskaya_Ober-Blöbaum_Leyendecker_2025, title={Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term}, volume={36}, DOI={<a href=\"https://doi.org/10.1007/s00332-025-10229-5\">10.1007/s00332-025-10229-5</a>}, number={11}, journal={Journal of Nonlinear Science}, author={Konopik, Michael and T. Sato Martín de Almagro, Rodrigo and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Leyendecker, Sigrid}, year={2025} }","chicago":"Konopik, Michael, Rodrigo T. Sato Martín de Almagro, Sofya Maslovskaya, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Variational Integrators for a New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Nonlinear Science</i> 36, no. 11 (2025). <a href=\"https://doi.org/10.1007/s00332-025-10229-5\">https://doi.org/10.1007/s00332-025-10229-5</a>.","short":"M. Konopik, R. T. Sato Martín de Almagro, S. Maslovskaya, S. Ober-Blöbaum, S. Leyendecker, Journal of Nonlinear Science 36 (2025).","ama":"Konopik M, T. Sato Martín de Almagro R, Maslovskaya S, Ober-Blöbaum S, Leyendecker S. Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Nonlinear Science</i>. 2025;36(11). doi:<a href=\"https://doi.org/10.1007/s00332-025-10229-5\">10.1007/s00332-025-10229-5</a>"},"date_created":"2025-05-05T09:35:31Z","type":"journal_article","department":[{"_id":"636"}],"status":"public","title":"Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term","year":"2025","author":[{"full_name":"Konopik, Michael","first_name":"Michael","last_name":"Konopik"},{"full_name":"T. Sato Martín de Almagro, Rodrigo","last_name":"T. Sato Martín de Almagro","first_name":"Rodrigo"},{"id":"87909","full_name":"Maslovskaya, Sofya","last_name":"Maslovskaya","first_name":"Sofya"},{"full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina","id":"16494"},{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"}],"date_updated":"2026-01-06T18:26:57Z","intvolume":"        36","_id":"59797","language":[{"iso":"eng"}],"doi":"10.1007/s00332-025-10229-5","user_id":"87909","volume":36},{"issue":"11","publication":"Nonlinearity","citation":{"ieee":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, and R. T. Sato Martín de Almagro, “A new Lagrangian approach to optimal control of second-order systems,” <i>Nonlinearity</i>, vol. 38, no. 11, 2025, doi: <a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">10.1088/1361-6544/ae1d08</a>.","apa":"Konopik, M., Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., &#38; T. Sato Martín de Almagro, R. (2025). A new Lagrangian approach to optimal control of second-order systems. <i>Nonlinearity</i>, <i>38</i>(11). <a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">https://doi.org/10.1088/1361-6544/ae1d08</a>","mla":"Konopik, Michael, et al. “A New Lagrangian Approach to Optimal Control of Second-Order Systems.” <i>Nonlinearity</i>, vol. 38, no. 11, 2025, doi:<a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">10.1088/1361-6544/ae1d08</a>.","bibtex":"@article{Konopik_Leyendecker_Maslovskaya_Ober-Blöbaum_T. Sato Martín de Almagro_2025, title={A new Lagrangian approach to optimal control of second-order systems}, volume={38}, DOI={<a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">10.1088/1361-6544/ae1d08</a>}, number={11}, journal={Nonlinearity}, author={Konopik, Michael and Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and T. Sato Martín de Almagro, Rodrigo}, year={2025} }","ama":"Konopik M, Leyendecker S, Maslovskaya S, Ober-Blöbaum S, T. Sato Martín de Almagro R. A new Lagrangian approach to optimal control of second-order systems. <i>Nonlinearity</i>. 2025;38(11). doi:<a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">10.1088/1361-6544/ae1d08</a>","short":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. Sato Martín de Almagro, Nonlinearity 38 (2025).","chicago":"Konopik, Michael, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum, and Rodrigo T. Sato Martín de Almagro. “A New Lagrangian Approach to Optimal Control of Second-Order Systems.” <i>Nonlinearity</i> 38, no. 11 (2025). <a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">https://doi.org/10.1088/1361-6544/ae1d08</a>."},"type":"journal_article","department":[{"_id":"636"}],"date_created":"2025-05-05T09:37:50Z","date_updated":"2026-01-06T18:24:40Z","intvolume":"        38","status":"public","title":"A new Lagrangian approach to optimal control of second-order systems","year":"2025","author":[{"first_name":"Michael","last_name":"Konopik","full_name":"Konopik, Michael"},{"full_name":"Leyendecker, Sigrid","first_name":"Sigrid","last_name":"Leyendecker"},{"id":"87909","last_name":"Maslovskaya","first_name":"Sofya","full_name":"Maslovskaya, Sofya"},{"last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"full_name":"T. Sato Martín de Almagro, Rodrigo","first_name":"Rodrigo","last_name":"T. Sato Martín de Almagro"}],"doi":"10.1088/1361-6544/ae1d08","user_id":"87909","volume":38,"language":[{"iso":"eng"}],"_id":"59799"},{"user_id":"70575","doi":"10.1007/s00039-025-00712-2","volume":35,"page":"673–735","_id":"53414","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-01-09T09:25:45Z","article_type":"original","intvolume":"        35","year":"2025","status":"public","title":"Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing","author":[{"id":"70575","full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin"},{"full_name":"Monclair, Daniel","last_name":"Monclair","first_name":"Daniel"},{"full_name":"Sanders, Andrew","last_name":"Sanders","first_name":"Andrew"}],"type":"journal_article","department":[{"_id":"548"}],"date_created":"2024-04-11T12:31:34Z","abstract":[{"text":"By constructing a non-empty domain of discontinuity in a suitable homogeneous\r\nspace, we prove that every torsion-free projective Anosov subgroup is the\r\nmonodromy group of a locally homogeneous contact Axiom A dynamical system with\r\na unique basic hyperbolic set on which the flow is conjugate to the refraction\r\nflow of Sambarino. Under the assumption of irreducibility, we utilize the work\r\nof Stoyanov to establish spectral estimates for the associated complex Ruelle\r\ntransfer operators, and by way of corollary: exponential mixing, exponentially\r\ndecaying error term in the prime orbit theorem, and a spectral gap for the\r\nRuelle zeta function. With no irreducibility assumption, results of\r\nDyatlov-Guillarmou imply the global meromorphic continuation of zeta functions\r\nwith smooth weights, as well as the existence of a discrete spectrum of\r\nRuelle-Pollicott resonances and (co)-resonant states. We apply our results to\r\nspace-like geodesic flows for the convex cocompact pseudo-Riemannian manifolds\r\nof Danciger-Gu\\'eritaud-Kassel, and the Benoist-Hilbert geodesic flow for\r\nstrictly convex real projective manifolds.","lang":"eng"}],"publication":"Geometric and Functional Analysis (GAFA)","citation":{"mla":"Delarue, Benjamin, et al. “Locally Homogeneous Axiom A Flows I: Projective Anosov Subgroups and Exponential Mixing.” <i>Geometric and Functional Analysis (GAFA)</i>, vol. 35, 2025, pp. 673–735, doi:<a href=\"https://doi.org/10.1007/s00039-025-00712-2\">10.1007/s00039-025-00712-2</a>.","bibtex":"@article{Delarue_Monclair_Sanders_2025, title={Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing}, volume={35}, DOI={<a href=\"https://doi.org/10.1007/s00039-025-00712-2\">10.1007/s00039-025-00712-2</a>}, journal={Geometric and Functional Analysis (GAFA)}, author={Delarue, Benjamin and Monclair, Daniel and Sanders, Andrew}, year={2025}, pages={673–735} }","ama":"Delarue B, Monclair D, Sanders A. Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing. <i>Geometric and Functional Analysis (GAFA)</i>. 2025;35:673–735. doi:<a href=\"https://doi.org/10.1007/s00039-025-00712-2\">10.1007/s00039-025-00712-2</a>","ieee":"B. Delarue, D. Monclair, and A. Sanders, “Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing,” <i>Geometric and Functional Analysis (GAFA)</i>, vol. 35, pp. 673–735, 2025, doi: <a href=\"https://doi.org/10.1007/s00039-025-00712-2\">10.1007/s00039-025-00712-2</a>.","apa":"Delarue, B., Monclair, D., &#38; Sanders, A. (2025). Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing. <i>Geometric and Functional Analysis (GAFA)</i>, <i>35</i>, 673–735. <a href=\"https://doi.org/10.1007/s00039-025-00712-2\">https://doi.org/10.1007/s00039-025-00712-2</a>","short":"B. Delarue, D. Monclair, A. Sanders, Geometric and Functional Analysis (GAFA) 35 (2025) 673–735.","chicago":"Delarue, Benjamin, Daniel Monclair, and Andrew Sanders. “Locally Homogeneous Axiom A Flows I: Projective Anosov Subgroups and Exponential Mixing.” <i>Geometric and Functional Analysis (GAFA)</i> 35 (2025): 673–735. <a href=\"https://doi.org/10.1007/s00039-025-00712-2\">https://doi.org/10.1007/s00039-025-00712-2</a>."}},{"author":[{"id":"70575","first_name":"Benjamin","last_name":"Delarue","full_name":"Delarue, Benjamin"},{"full_name":"Ramacher, Pablo","last_name":"Ramacher","first_name":"Pablo"},{"first_name":"Maximilian","last_name":"Schmitt","full_name":"Schmitt, Maximilian"}],"status":"public","title":"Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity","year":"2025","article_type":"original","publication_status":"epub_ahead","date_updated":"2026-01-09T09:27:08Z","_id":"53412","language":[{"iso":"eng"}],"user_id":"70575","doi":"10.1007/s00031-025-09924-0","citation":{"chicago":"Delarue, Benjamin, Pablo Ramacher, and Maximilian Schmitt. “Singular Cohomology of Symplectic Quotients by Circle Actions and Kirwan  Surjectivity.” <i>Transformation Groups</i>, 2025. <a href=\"https://doi.org/10.1007/s00031-025-09924-0\">https://doi.org/10.1007/s00031-025-09924-0</a>.","short":"B. Delarue, P. Ramacher, M. Schmitt, Transformation Groups (2025).","apa":"Delarue, B., Ramacher, P., &#38; Schmitt, M. (2025). Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity. <i>Transformation Groups</i>. <a href=\"https://doi.org/10.1007/s00031-025-09924-0\">https://doi.org/10.1007/s00031-025-09924-0</a>","ieee":"B. Delarue, P. Ramacher, and M. Schmitt, “Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity,” <i>Transformation Groups</i>, 2025, doi: <a href=\"https://doi.org/10.1007/s00031-025-09924-0\">10.1007/s00031-025-09924-0</a>.","ama":"Delarue B, Ramacher P, Schmitt M. Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity. <i>Transformation Groups</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1007/s00031-025-09924-0\">10.1007/s00031-025-09924-0</a>","bibtex":"@article{Delarue_Ramacher_Schmitt_2025, title={Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity}, DOI={<a href=\"https://doi.org/10.1007/s00031-025-09924-0\">10.1007/s00031-025-09924-0</a>}, journal={Transformation Groups}, author={Delarue, Benjamin and Ramacher, Pablo and Schmitt, Maximilian}, year={2025} }","mla":"Delarue, Benjamin, et al. “Singular Cohomology of Symplectic Quotients by Circle Actions and Kirwan  Surjectivity.” <i>Transformation Groups</i>, 2025, doi:<a href=\"https://doi.org/10.1007/s00031-025-09924-0\">10.1007/s00031-025-09924-0</a>."},"publication":"Transformation Groups","abstract":[{"text":"Let $M$ be a symplectic manifold carrying a Hamiltonian $S^1$-action with\r\nmomentum map $J:M \\rightarrow \\mathbb{R}$ and consider the corresponding\r\nsymplectic quotient $\\mathcal{M}_0:=J^{-1}(0)/S^1$. We extend Sjamaar's complex\r\nof differential forms on $\\mathcal{M}_0$, whose cohomology is isomorphic to the\r\nsingular cohomology $H(\\mathcal{M}_0;\\mathbb{R})$ of $\\mathcal{M}_0$ with real\r\ncoefficients, to a complex of differential forms on $\\mathcal{M}_0$ associated\r\nwith a partial desingularization $\\widetilde{\\mathcal{M}}_0$, which we call\r\nresolution differential forms. The cohomology of that complex turns out to be\r\nisomorphic to the de Rham cohomology $H(\\widetilde{ \\mathcal{M}}_0)$ of\r\n$\\widetilde{\\mathcal{M}}_0$. Based on this, we derive a long exact sequence\r\ninvolving both $H(\\mathcal{M}_0;\\mathbb{R})$ and $H(\\widetilde{\r\n\\mathcal{M}}_0)$ and give conditions for its splitting. We then define a Kirwan\r\nmap $\\mathcal{K}:H_{S^1}(M) \\rightarrow H(\\widetilde{\\mathcal{M}}_0)$ from the\r\nequivariant cohomology $H_{S^1}(M)$ of $M$ to $H(\\widetilde{\\mathcal{M}}_0)$\r\nand show that its image contains the image of $H(\\mathcal{M}_0;\\mathbb{R})$ in\r\n$H(\\widetilde{\\mathcal{M}}_0)$ under the natural inclusion. Combining both\r\nresults in the case that all fixed point components of $M$ have vanishing odd\r\ncohomology we obtain a surjection $\\check \\kappa:H^\\textrm{ev}_{S^1}(M)\r\n\\rightarrow H^\\textrm{ev}(\\mathcal{M}_0;\\mathbb{R})$ in even degrees, while\r\nalready simple examples show that a similar surjection in odd degrees does not\r\nexist in general. As an interesting class of examples we study abelian polygon\r\nspaces.","lang":"eng"}],"date_created":"2024-04-11T12:30:59Z","department":[{"_id":"548"}],"type":"journal_article"},{"intvolume":"        48","date_updated":"2026-01-12T11:26:40Z","author":[{"id":"16274","first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"},{"last_name":"Engel","first_name":"Joachim","full_name":"Engel, Joachim"},{"last_name":"Frischemeier","first_name":"Daniel","full_name":"Frischemeier, Daniel"},{"full_name":"Podworny, Susanne","last_name":"Podworny","first_name":"Susanne"}],"status":"public","year":"2025","title":"Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels","volume":48,"user_id":"37888","doi":"10.18716/ojs/md/2025.2297","language":[{"iso":"ger"}],"_id":"63556","main_file_link":[{"url":"https://journals.ub.uni-koeln.de/index.php/mathematica_didactica/article/view/2297","open_access":"1"}],"citation":{"ieee":"R. Biehler, J. Engel, D. Frischemeier, and S. Podworny, “Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels,” <i>mathematica didactica</i>, vol. 48, no. 2, 2025, doi: <a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">10.18716/ojs/md/2025.2297</a>.","mla":"Biehler, Rolf, et al. “Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels.” <i>mathematica didactica</i>, vol. 48, no. 2, 2025, doi:<a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">10.18716/ojs/md/2025.2297</a>.","apa":"Biehler, R., Engel, J., Frischemeier, D., &#38; Podworny, S. (2025). Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels. <i>mathematica didactica</i>, <i>48</i>(2). <a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">https://doi.org/10.18716/ojs/md/2025.2297</a>","bibtex":"@article{Biehler_Engel_Frischemeier_Podworny_2025, title={Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels}, volume={48}, DOI={<a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">10.18716/ojs/md/2025.2297</a>}, number={2}, journal={mathematica didactica}, author={Biehler, Rolf and Engel, Joachim and Frischemeier, Daniel and Podworny, Susanne}, year={2025} }","short":"R. Biehler, J. Engel, D. Frischemeier, S. Podworny, mathematica didactica 48 (2025).","ama":"Biehler R, Engel J, Frischemeier D, Podworny S. Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels. <i>mathematica didactica</i>. 2025;48(2). doi:<a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">10.18716/ojs/md/2025.2297</a>","chicago":"Biehler, Rolf, Joachim Engel, Daniel Frischemeier, and Susanne Podworny. “Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels.” <i>mathematica didactica</i> 48, no. 2 (2025). <a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">https://doi.org/10.18716/ojs/md/2025.2297</a>."},"publication":"mathematica didactica","issue":"2","department":[{"_id":"363"}],"oa":"1","type":"journal_article","date_created":"2026-01-12T11:23:57Z"},{"language":[{"iso":"eng"}],"_id":"63569","user_id":"106729","title":"Describing the nub in maximal Kac-Moody groups","year":"2025","status":"public","author":[{"full_name":"Bischof, Sebastian","first_name":"Sebastian","last_name":"Bischof","id":"106729"},{"last_name":"Marquis","first_name":"Timothée","full_name":"Marquis, Timothée"}],"date_updated":"2026-01-12T14:33:08Z","external_id":{"arxiv":["arXiv:2508.15506"]},"date_created":"2026-01-12T14:12:09Z","type":"preprint","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"citation":{"mla":"Bischof, Sebastian, and Timothée Marquis. <i>Describing the Nub in Maximal Kac-Moody Groups</i>. 2025.","ama":"Bischof S, Marquis T. Describing the nub in maximal Kac-Moody groups. Published online 2025.","bibtex":"@article{Bischof_Marquis_2025, title={Describing the nub in maximal Kac-Moody groups}, author={Bischof, Sebastian and Marquis, Timothée}, year={2025} }","apa":"Bischof, S., &#38; Marquis, T. (2025). <i>Describing the nub in maximal Kac-Moody groups</i>.","ieee":"S. Bischof and T. Marquis, “Describing the nub in maximal Kac-Moody groups.” 2025.","chicago":"Bischof, Sebastian, and Timothée Marquis. “Describing the Nub in Maximal Kac-Moody Groups,” 2025.","short":"S. Bischof, T. Marquis, (2025)."},"abstract":[{"text":"Let $G$ be a totally disconnected locally compact (tdlc) group. The contraction group $\\mathrm{con}(g)$ of an element $g\\in G$ is the set of all $h\\in G$ such that $g^n h g^{-n} \\to 1_G$ as $n \\to \\infty$. The nub of $g$ can then be characterized as the intersection $\\mathrm{nub}(g)$ of the closures of $\\mathrm{con}(g)$ and $\\mathrm{con}(g^{-1})$.\r\n Contraction groups and nubs provide important tools in the study of the structure of tdlc groups, as already evidenced in the work of G. Willis. It is known that $\\mathrm{nub}(g) = \\{1\\}$ if and only if $\\mathrm{con}(g)$ is closed. In general, contraction groups are not closed and computing the nub is typically a challenging problem.\r\n Maximal Kac-Moody groups over finite fields form a prominent family of non-discrete compactly generated simple tdlc groups. In this paper we give a complete description of the nub of any element in these groups.","lang":"eng"}]},{"_id":"63568","language":[{"iso":"eng"}],"user_id":"106729","author":[{"id":"106729","full_name":"Bischof, Sebastian","first_name":"Sebastian","last_name":"Bischof"}],"year":"2025","status":"public","title":"On flat groups in affine buildings","date_updated":"2026-01-12T14:32:33Z","date_created":"2026-01-12T14:11:47Z","external_id":{"arxiv":["arXiv:2512.16548"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint","citation":{"mla":"Bischof, Sebastian. <i>On Flat Groups in Affine Buildings</i>. 2025.","ama":"Bischof S. On flat groups in affine buildings. Published online 2025.","bibtex":"@article{Bischof_2025, title={On flat groups in affine buildings}, author={Bischof, Sebastian}, year={2025} }","apa":"Bischof, S. (2025). <i>On flat groups in affine buildings</i>.","ieee":"S. Bischof, “On flat groups in affine buildings.” 2025.","short":"S. Bischof, (2025).","chicago":"Bischof, Sebastian. “On Flat Groups in Affine Buildings,” 2025."},"abstract":[{"text":"In this article we work out the details of flat groups of the automorphism group of locally finite Bruhat-Tits buildings.","lang":"eng"}]},{"abstract":[{"lang":"ger","text":"Prüfungen sind ein wesentlicher Bestandteil des Mathematikunterrichts. Mündliche Prüfungsformate sind insbesondere in Abschlussprüfungen üblich, wurden aber bislang kaum untersucht. Dieses Projekt widmet sich dem Vorkommen und der Bedeutung verschiedener Wissensarten in mündlichen Prüfungen. Dazu soll auf Grundlage videografierter Prüfungsgespräche eine Taxonomie für abgefragte Wissensarten entwickelt werden. Der Vortrag präsentiert die Konzeption sowie erste Ergebnisse einer Vorstudie, die als Basis für eine vertiefte Analyse realer Prüfungen dient."}],"publication":"Beiträge zum Mathematikunterricht 2025","citation":{"apa":"Hellmund, J. (2025). Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt? In L. Schick, M. Platz, &#38; A. Lambert (Eds.), <i>Beiträge zum Mathematikunterricht 2025</i> (p. 1417). WTM. <a href=\"https://doi.org/10.17877/DE290R-25900\">https://doi.org/10.17877/DE290R-25900</a>","ieee":"J. Hellmund, “Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?,” in <i>Beiträge zum Mathematikunterricht 2025</i>, Saarbrücken, 2025, p. 1417, doi: <a href=\"https://doi.org/10.17877/DE290R-25900\">10.17877/DE290R-25900</a>.","chicago":"Hellmund, Johannes. “Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?” In <i>Beiträge zum Mathematikunterricht 2025</i>, edited by L. Schick, M. Platz, and A. Lambert, 1417. WTM, 2025. <a href=\"https://doi.org/10.17877/DE290R-25900\">https://doi.org/10.17877/DE290R-25900</a>.","short":"J. Hellmund, in: L. Schick, M. Platz, A. Lambert (Eds.), Beiträge zum Mathematikunterricht 2025, WTM, 2025, p. 1417.","mla":"Hellmund, Johannes. “Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?” <i>Beiträge zum Mathematikunterricht 2025</i>, edited by L. Schick et al., WTM, 2025, p. 1417, doi:<a href=\"https://doi.org/10.17877/DE290R-25900\">10.17877/DE290R-25900</a>.","ama":"Hellmund J. Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt? In: Schick L, Platz M, Lambert A, eds. <i>Beiträge zum Mathematikunterricht 2025</i>. WTM; 2025:1417. doi:<a href=\"https://doi.org/10.17877/DE290R-25900\">10.17877/DE290R-25900</a>","bibtex":"@inproceedings{Hellmund_2025, title={Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?}, DOI={<a href=\"https://doi.org/10.17877/DE290R-25900\">10.17877/DE290R-25900</a>}, booktitle={Beiträge zum Mathematikunterricht 2025}, publisher={WTM}, author={Hellmund, Johannes}, editor={Schick, L. and Platz, M. and Lambert, A.}, year={2025}, pages={1417} }"},"type":"conference","department":[{"_id":"979"},{"_id":"983"}],"date_created":"2026-01-12T17:16:19Z","date_updated":"2026-01-12T17:18:39Z","title":"Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?","status":"public","year":"2025","author":[{"id":"111364","full_name":"Hellmund, Johannes","last_name":"Hellmund","first_name":"Johannes"}],"conference":{"start_date":"2025-03-03","name":"58. Jahrestagung der Gesellschaft für Didaktik der Mathematik","location":"Saarbrücken","end_date":"2025-03-07"},"user_id":"111364","doi":"10.17877/DE290R-25900","editor":[{"full_name":"Schick, L.","first_name":"L.","last_name":"Schick"},{"full_name":"Platz, M.","first_name":"M.","last_name":"Platz"},{"last_name":"Lambert","first_name":"A.","full_name":"Lambert, A."}],"page":"1417","language":[{"iso":"ger"}],"_id":"63571","publisher":"WTM"},{"status":"public","year":"2025","title":"Lie groups of real analytic diffeomorphisms are L^1-regular","author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"}],"date_updated":"2024-12-24T16:58:38Z","intvolume":"       252","article_number":"113690","language":[{"iso":"eng"}],"_id":"34807","doi":"10.1016/j.na.2024.113690","user_id":"178","volume":252,"publication":"Nonlinear Analysis","citation":{"short":"H. Glöckner, Nonlinear Analysis 252 (2025).","ama":"Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>. 2025;252. doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>","chicago":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i> 252 (2025). <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>.","bibtex":"@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms are L^1-regular}, volume={252}, DOI={<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>}, number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025} }","mla":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i>, vol. 252, 113690, 2025, doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","apa":"Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>, <i>252</i>, Article 113690. <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>","ieee":"H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” <i>Nonlinear Analysis</i>, vol. 252, Art. no. 113690, 2025, doi: <a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>."},"quality_controlled":"1","abstract":[{"text":"Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of all\r\nreal-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space\r\n${\\mathfrak g}$ of real-analytic vector fields on $M$. We study flows of\r\ntime-dependent real-analytic vector fields on $M$ which are integrable\r\nfunctions in time, and their dependence on the time-dependent vector field.\r\nNotably, we show that the Lie group $G$ is $L^1$-regular in the sense that each\r\n$[\\gamma]$ in $L^1([0,1],{\\mathfrak g})$ has an evolution which is an\r\nabsolutely continuous $G$-valued function on $[0,1]$ and smooth in $[\\gamma]$.\r\nAs tools for the proof, we develop several new results concerning\r\n$L^p$-regularity of infinite-dimensional Lie groups, for $1\\leq p\\leq \\infty$,\r\nwhich will be useful also for the discussion of other classes of groups.\r\nMoreover, we obtain new results concerning the continuity and complex\r\nanalyticity of non-linear mappings on open subsets of locally convex direct\r\nlimits.","lang":"eng"}],"date_created":"2022-12-22T07:49:32Z","type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}]},{"author":[{"id":"32655","last_name":"Gerlach","orcid":"0009-0002-4750-2051","first_name":"Raphael","full_name":"Gerlach, Raphael"},{"full_name":"von der Gracht, Sören","orcid":"0000-0002-8054-2058","first_name":"Sören","last_name":"von der Gracht","id":"97359"},{"first_name":"Christopher","last_name":"Hahn","full_name":"Hahn, Christopher"},{"last_name":"Harbig","first_name":"Jonas","full_name":"Harbig, Jonas","id":"47213"},{"last_name":"Kling","first_name":"Peter","full_name":"Kling, Peter"}],"publication_identifier":{"issn":["1868-8969"],"isbn":["978-3-95977-360-7"]},"year":"2025","title":"Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility","intvolume":"       324","publication_status":"published","date_updated":"2025-01-09T11:39:19Z","series_title":"Leibniz International Proceedings in Informatics (LIPIcs)","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2409.19277","open_access":"1"}],"doi":"10.4230/LIPIcs.OPODIS.2024.13","publication":"28th International Conference on Principles of Distributed Systems (OPODIS 2024)","abstract":[{"lang":"eng","text":"In the general pattern formation (GPF) problem, a swarm of simple autonomous,\r\ndisoriented robots must form a given pattern. The robots' simplicity imply a\r\nstrong limitation: When the initial configuration is rotationally symmetric,\r\nonly patterns with a similar symmetry can be formed [Yamashita, Suzyuki; TCS\r\n2010]. The only known algorithm to form large patterns with limited visibility\r\nand without memory requires the robots to start in a near-gathering (a swarm of\r\nconstant diameter) [Hahn et al.; SAND 2024]. However, not only do we not know\r\nany near-gathering algorithm guaranteed to preserve symmetry but most natural\r\ngathering strategies trivially increase symmetries [Castenow et al.; OPODIS\r\n2022].\r\n  Thus, we study near-gathering without changing the swarm's rotational\r\nsymmetry for disoriented, oblivious robots with limited visibility (the\r\nOBLOT-model, see [Flocchini et al.; 2019]). We introduce a technique based on\r\nthe theory of dynamical systems to analyze how a given algorithm affects\r\nsymmetry and provide sufficient conditions for symmetry preservation. Until\r\nnow, it was unknown whether the considered OBLOT-model allows for any\r\nnon-trivial algorithm that always preserves symmetry. Our first result shows\r\nthat a variant of Go-to-the-Average always preserves symmetry but may sometimes\r\nlead to multiple, unconnected near-gathering clusters. Our second result is a\r\nsymmetry-preserving near-gathering algorithm that works on swarms with a convex\r\nboundary (the outer boundary of the unit disc graph) and without holes (circles\r\nof diameter 1 inside the boundary without any robots)."}],"date_created":"2024-10-01T13:29:43Z","department":[{"_id":"101"}],"keyword":["Swarm Algorithm","Swarm Robots","Distributed Algorithm","Pattern Formation","Limited Visibility","Oblivious"],"type":"conference","conference":{"name":"28th International Conference on Principles of Distributed Systems (OPODIS 2024)","start_date":"2024-12-11","location":"Lucca, Italy","end_date":"2024-12-13"},"status":"public","_id":"56298","publisher":"Schloss Dagstuhl -- Leibniz-Zentrum für Informatik","volume":324,"editor":[{"last_name":"Bonomi","first_name":"Silvia","full_name":"Bonomi, Silvia"},{"first_name":"Letterio","last_name":"Galletta","full_name":"Galletta, Letterio"},{"full_name":"Rivière,  Etienne","first_name":" Etienne","last_name":"Rivière"},{"full_name":"Schiavoni,  Valerio","first_name":" Valerio","last_name":"Schiavoni"}],"user_id":"97359","citation":{"apa":"Gerlach, R., von der Gracht, S., Hahn, C., Harbig, J., &#38; Kling, P. (2025). Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In S. Bonomi, L. Galletta,  Etienne Rivière, &#38;  Valerio Schiavoni (Eds.), <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i> (Vol. 324). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">https://doi.org/10.4230/LIPIcs.OPODIS.2024.13</a>","ieee":"R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility,” in <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i>, Lucca, Italy, 2025, vol. 324, doi: <a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">10.4230/LIPIcs.OPODIS.2024.13</a>.","short":"R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi, L. Galletta,  Etienne Rivière,  Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.","chicago":"Gerlach, Raphael, Sören von der Gracht, Christopher Hahn, Jonas Harbig, and Peter Kling. “Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility.” In <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i>, edited by Silvia Bonomi, Letterio Galletta,  Etienne Rivière, and  Valerio Schiavoni, Vol. 324. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025. <a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">https://doi.org/10.4230/LIPIcs.OPODIS.2024.13</a>.","mla":"Gerlach, Raphael, et al. “Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility.” <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i>, edited by Silvia Bonomi et al., vol. 324, Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025, doi:<a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">10.4230/LIPIcs.OPODIS.2024.13</a>.","ama":"Gerlach R, von der Gracht S, Hahn C, Harbig J, Kling P. Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In: Bonomi S, Galletta L, Rivière  Etienne, Schiavoni  Valerio, eds. <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i>. Vol 324. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik; 2025. doi:<a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">10.4230/LIPIcs.OPODIS.2024.13</a>","bibtex":"@inproceedings{Gerlach_von der Gracht_Hahn_Harbig_Kling_2025, series={Leibniz International Proceedings in Informatics (LIPIcs)}, title={Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility}, volume={324}, DOI={<a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">10.4230/LIPIcs.OPODIS.2024.13</a>}, booktitle={28th International Conference on Principles of Distributed Systems (OPODIS 2024)}, publisher={Schloss Dagstuhl -- Leibniz-Zentrum für Informatik}, author={Gerlach, Raphael and von der Gracht, Sören and Hahn, Christopher and Harbig, Jonas and Kling, Peter}, editor={Bonomi, Silvia and Galletta, Letterio and Rivière,  Etienne and Schiavoni,  Valerio}, year={2025}, collection={Leibniz International Proceedings in Informatics (LIPIcs)} }"},"project":[{"name":"Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme","grant_number":"453112019","_id":"106"}],"external_id":{"arxiv":["2409.19277"]},"oa":"1"},{"date_created":"2025-02-07T08:27:10Z","department":[{"_id":"841"}],"type":"journal_article","citation":{"mla":"Bullerjahn, Nils. “Error Estimates for Full Discretization by an Almost Mass Conservation Technique for Cahn--Hilliard Systems with Dynamic Boundary Conditions.” <i>ArXiv</i>, 2025, doi:<a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">10.48550/ARXIV.2502.03847</a>.","apa":"Bullerjahn, N. (2025). Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions. <i>ArXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">https://doi.org/10.48550/ARXIV.2502.03847</a>","ieee":"N. Bullerjahn, “Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions,” <i>arXiv</i>, 2025, doi: <a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">10.48550/ARXIV.2502.03847</a>.","short":"N. Bullerjahn, ArXiv (2025).","ama":"Bullerjahn N. Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions. <i>arXiv</i>. Published online 2025. doi:<a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">10.48550/ARXIV.2502.03847</a>","chicago":"Bullerjahn, Nils. “Error Estimates for Full Discretization by an Almost Mass Conservation Technique for Cahn--Hilliard Systems with Dynamic Boundary Conditions.” <i>ArXiv</i>, 2025. <a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">https://doi.org/10.48550/ARXIV.2502.03847</a>.","bibtex":"@article{Bullerjahn_2025, title={Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">10.48550/ARXIV.2502.03847</a>}, journal={arXiv}, author={Bullerjahn, Nils}, year={2025} }"},"publication":"arXiv","language":[{"iso":"eng"}],"_id":"58532","user_id":"103797","doi":"10.48550/ARXIV.2502.03847","author":[{"id":"103797","last_name":"Bullerjahn","orcid":"https://orcid.org/0009-0003-8460-1574","first_name":"Nils","full_name":"Bullerjahn, Nils"}],"year":"2025","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","status":"public","date_updated":"2025-02-07T08:28:48Z"},{"year":"2025","status":"public","title":"Multiphoton, multimode state classification for nonlinear optical circuits ","author":[{"id":"98502","last_name":"Kopylov","first_name":"Denis","full_name":"Kopylov, Denis"},{"id":"85279","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","first_name":"Christian","last_name":"Offen"},{"last_name":"Ares","first_name":"Laura","full_name":"Ares, Laura"},{"id":"95394","last_name":"Wembe Moafo","first_name":"Boris Edgar","full_name":"Wembe Moafo, Boris Edgar"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"id":"344","full_name":"Meier, Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten"},{"first_name":"Polina","last_name":"Sharapova","full_name":"Sharapova, Polina","id":"60286"},{"id":"75127","full_name":"Sperling, Jan","last_name":"Sperling","orcid":"0000-0002-5844-3205","first_name":"Jan"}],"publication_status":"submitted","date_updated":"2025-02-10T08:36:12Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2502.05123","open_access":"1"}],"_id":"58544","language":[{"iso":"eng"}],"user_id":"85279","citation":{"mla":"Kopylov, Denis, et al. <i>Multiphoton, Multimode State Classification for Nonlinear Optical Circuits </i>.","ama":"Kopylov D, Offen C, Ares L, et al. Multiphoton, multimode state classification for nonlinear optical circuits .","bibtex":"@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling, title={Multiphoton, multimode state classification for nonlinear optical circuits }, author={Kopylov, Denis and Offen, Christian and Ares, Laura and Wembe Moafo, Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova, Polina and Sperling, Jan} }","apa":"Kopylov, D., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier, T., Sharapova, P., &#38; Sperling, J. (n.d.). <i>Multiphoton, multimode state classification for nonlinear optical circuits </i>.","ieee":"D. Kopylov <i>et al.</i>, “Multiphoton, multimode state classification for nonlinear optical circuits .” .","short":"D. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier, P. Sharapova, J. Sperling, (n.d.).","chicago":"Kopylov, Denis, Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina Ober-Blöbaum, Torsten Meier, Polina Sharapova, and Jan Sperling. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits ,” n.d."},"abstract":[{"text":"We introduce a new classification of multimode states with a fixed number of photons. This classification is based on the factorizability of homogeneous multivariate polynomials and is invariant under unitary transformations. The classes physically correspond to field excitations in terms of single and multiple photons, each of which being in an arbitrary irreducible superposition of quantized modes. We further show how the transitions between classes are rendered possible by photon addition, photon subtraction, and photon-projection nonlinearities. We explicitly put forward a design for a multilayer interferometer in which the states for different classes can be generated with state-of-the-art experimental techniques. Limitations of the proposed designs are analyzed using the introduced classification, providing a benchmark for the robustness of certain states and classes. ","lang":"eng"}],"external_id":{"arxiv":["2502.05123"]},"date_created":"2025-02-10T08:26:45Z","type":"preprint","department":[{"_id":"623"},{"_id":"15"},{"_id":"636"}],"oa":"1"},{"intvolume":"        79","publication_status":"published","date_updated":"2025-03-10T10:54:03Z","author":[{"first_name":"Katja","last_name":"Krüger","full_name":"Krüger, Katja"},{"id":"578","full_name":"Werth, Gerda","first_name":"Gerda","last_name":"Werth"}],"publication_identifier":{"issn":["0732-3123"]},"title":"Mathematics education for girls in Prussia 1890–1925","year":"2025","status":"public","volume":79,"user_id":"578","doi":"10.1016/j.jmathb.2025.101242","language":[{"iso":"eng"}],"_id":"58947","publisher":"Elsevier BV","article_number":"101242","citation":{"mla":"Krüger, Katja, and Gerda Werth. “Mathematics Education for Girls in Prussia 1890–1925.” <i>The Journal of Mathematical Behavior</i>, vol. 79, 101242, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">10.1016/j.jmathb.2025.101242</a>.","apa":"Krüger, K., &#38; Werth, G. (2025). Mathematics education for girls in Prussia 1890–1925. <i>The Journal of Mathematical Behavior</i>, <i>79</i>, Article 101242. <a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">https://doi.org/10.1016/j.jmathb.2025.101242</a>","ieee":"K. Krüger and G. Werth, “Mathematics education for girls in Prussia 1890–1925,” <i>The Journal of Mathematical Behavior</i>, vol. 79, Art. no. 101242, 2025, doi: <a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">10.1016/j.jmathb.2025.101242</a>.","short":"K. Krüger, G. Werth, The Journal of Mathematical Behavior 79 (2025).","ama":"Krüger K, Werth G. Mathematics education for girls in Prussia 1890–1925. <i>The Journal of Mathematical Behavior</i>. 2025;79. doi:<a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">10.1016/j.jmathb.2025.101242</a>","chicago":"Krüger, Katja, and Gerda Werth. “Mathematics Education for Girls in Prussia 1890–1925.” <i>The Journal of Mathematical Behavior</i> 79 (2025). <a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">https://doi.org/10.1016/j.jmathb.2025.101242</a>.","bibtex":"@article{Krüger_Werth_2025, title={Mathematics education for girls in Prussia 1890–1925}, volume={79}, DOI={<a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">10.1016/j.jmathb.2025.101242</a>}, number={101242}, journal={The Journal of Mathematical Behavior}, publisher={Elsevier BV}, author={Krüger, Katja and Werth, Gerda}, year={2025} }"},"publication":"The Journal of Mathematical Behavior","department":[{"_id":"34"},{"_id":"10"},{"_id":"98"},{"_id":"360"}],"type":"journal_article","date_created":"2025-03-10T10:46:07Z"},{"language":[{"iso":"eng"}],"date_updated":"2025-03-11T08:53:02Z","year":"2025","title":"Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems","author":[{"id":"32655","full_name":"Gerlach, Raphael","orcid":"0009-0002-4750-2051","first_name":"Raphael","last_name":"Gerlach"},{"id":"97359","first_name":"Sören","last_name":"von der Gracht","orcid":"0000-0002-8054-2058","full_name":"von der Gracht, Sören"}],"keyword":["dynamical systems","coupled systems","distributed computing","robot swarms","autonomous mobile robots","symmetry","equivariant dynamics"],"type":"preprint","department":[{"_id":"101"}],"file":[{"creator":"svdg","date_created":"2025-03-11T08:27:32Z","file_name":"Analyzing_Symmetries_of_Swarms_of_Mobile_Robots_Using_Equivariant_Dynamical_Systems.pdf","file_size":812198,"access_level":"open_access","relation":"main_file","date_updated":"2025-03-11T08:27:32Z","file_id":"58954","content_type":"application/pdf"}],"date_created":"2025-03-11T08:21:05Z","abstract":[{"text":"In this article, we investigate symmetry properties of distributed systems of mobile robots. We consider a swarm of n robots in the OBLOT model and analyze their collective Fsync dynamics using of equivariant dynamical systems theory. To this end, we show that the corresponding evolution function commutes with rotational and reflective transformations of R^2. These form a group that is isomorphic to O(2) x S_n, the product group of the orthogonal group and the permutation on n elements. The theory of equivariant dynamical systems is used to deduce a hierarchy along which symmetries of a robot swarm can potentially increase following an arbitrary protocol. By decoupling the Look phase from the Compute and Move phases in the mathematical description of an LCM cycle, this hierarchy can be characterized in terms of automorphisms of connectivity graphs. In particular, we find all possible types of symmetry increase, if the decoupled Compute and Move phase is invertible. Finally, we apply our results to protocols which induce state-dependent linear dynamics, where the reduced system consisting of only the Compute and Move phase is linear.","lang":"eng"}],"publication":"arXiv:2503.07576","ddc":["004"],"user_id":"97359","page":"23","_id":"58953","has_accepted_license":"1","status":"public","oa":"1","external_id":{"arxiv":["2503.07576"]},"project":[{"name":"Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme","grant_number":"453112019","_id":"106"}],"file_date_updated":"2025-03-11T08:27:32Z","citation":{"apa":"Gerlach, R., &#38; von der Gracht, S. (2025). Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems. In <i>arXiv:2503.07576</i>.","mla":"Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems.” <i>ArXiv:2503.07576</i>, 2025.","ieee":"R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems,” <i>arXiv:2503.07576</i>. 2025.","ama":"Gerlach R, von der Gracht S. Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems. <i>arXiv:250307576</i>. Published online 2025.","short":"R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).","chicago":"Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems.” <i>ArXiv:2503.07576</i>, 2025.","bibtex":"@article{Gerlach_von der Gracht_2025, title={Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems}, journal={arXiv:2503.07576}, author={Gerlach, Raphael and von der Gracht, Sören}, year={2025} }"}}]