[{"article_number":"033062","language":[{"iso":"eng"}],"doi":"10.1103/sv6z-v1gk","year":"2025","title":"Multiphoton, multimode state classification for nonlinear optical circuits","author":[{"full_name":"Kopylov, Denis A.","first_name":"Denis A.","last_name":"Kopylov"},{"id":"85279","full_name":"Offen, Christian","first_name":"Christian","orcid":"0000-0002-5940-8057","last_name":"Offen"},{"first_name":"Laura","last_name":"Ares","full_name":"Ares, Laura"},{"first_name":"Boris Edgar","last_name":"Wembe Moafo","full_name":"Wembe Moafo, Boris Edgar","id":"95394"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"id":"344","orcid":"0000-0001-8864-2072","first_name":"Torsten","last_name":"Meier","full_name":"Meier, Torsten"},{"id":"60286","full_name":"Sharapova, Polina R.","last_name":"Sharapova","first_name":"Polina R."},{"full_name":"Sperling, Jan","orcid":"0000-0002-5844-3205","first_name":"Jan","last_name":"Sperling","id":"75127"}],"publication_identifier":{"issn":["2643-1564"]},"date_updated":"2025-12-09T09:10:01Z","publication_status":"published","intvolume":"         7","date_created":"2025-12-09T09:08:39Z","type":"journal_article","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"706"},{"_id":"636"},{"_id":"35"},{"_id":"230"},{"_id":"429"},{"_id":"623"}],"issue":"3","publication":"Physical Review Research","abstract":[{"text":"<jats:p>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 is 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.</jats:p>","lang":"eng"}],"publisher":"American Physical Society (APS)","_id":"62980","user_id":"16199","volume":7,"status":"public","citation":{"ama":"Kopylov DA, Offen C, Ares L, et al. Multiphoton, multimode state classification for nonlinear optical circuits. <i>Physical Review Research</i>. 2025;7(3). doi:<a href=\"https://doi.org/10.1103/sv6z-v1gk\">10.1103/sv6z-v1gk</a>","bibtex":"@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling_2025, title={Multiphoton, multimode state classification for nonlinear optical circuits}, volume={7}, DOI={<a href=\"https://doi.org/10.1103/sv6z-v1gk\">10.1103/sv6z-v1gk</a>}, number={3033062}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Kopylov, Denis A. and Offen, Christian and Ares, Laura and Wembe Moafo, Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova, Polina R. and Sperling, Jan}, year={2025} }","mla":"Kopylov, Denis A., et al. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits.” <i>Physical Review Research</i>, vol. 7, no. 3, 033062, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/sv6z-v1gk\">10.1103/sv6z-v1gk</a>.","chicago":"Kopylov, Denis A., Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina Ober-Blöbaum, Torsten Meier, Polina R. Sharapova, and Jan Sperling. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits.” <i>Physical Review Research</i> 7, no. 3 (2025). <a href=\"https://doi.org/10.1103/sv6z-v1gk\">https://doi.org/10.1103/sv6z-v1gk</a>.","short":"D.A. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier, P.R. Sharapova, J. Sperling, Physical Review Research 7 (2025).","apa":"Kopylov, D. A., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier, T., Sharapova, P. R., &#38; Sperling, J. (2025). Multiphoton, multimode state classification for nonlinear optical circuits. <i>Physical Review Research</i>, <i>7</i>(3), Article 033062. <a href=\"https://doi.org/10.1103/sv6z-v1gk\">https://doi.org/10.1103/sv6z-v1gk</a>","ieee":"D. A. Kopylov <i>et al.</i>, “Multiphoton, multimode state classification for nonlinear optical circuits,” <i>Physical Review Research</i>, vol. 7, no. 3, Art. no. 033062, 2025, doi: <a href=\"https://doi.org/10.1103/sv6z-v1gk\">10.1103/sv6z-v1gk</a>."},"project":[{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"_id":"56","name":"TRR 142 - Project Area C"},{"name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse","_id":"174"},{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}]},{"publication":"Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development.","type":"conference","department":[{"_id":"360"}],"file":[{"date_created":"2025-12-11T15:39:27Z","creator":"srezat","success":1,"content_type":"application/pdf","file_id":"63037","access_level":"closed","file_size":724455,"file_name":"Proceedings ICMT5 december 2026 Seiten 85-104.pdf","date_updated":"2025-12-11T15:39:27Z","relation":"main_file"}],"date_created":"2025-12-11T15:36:37Z","date_updated":"2025-12-12T10:15:57Z","publication_status":"published","title":"The quality of print and digital mathematics curriculum resources","year":"2025","publication_identifier":{"isbn":["978-82-691902-2-9"]},"author":[{"id":"31132","full_name":"Rezat, Sebastian","last_name":"Rezat","first_name":"Sebastian"},{"full_name":"Glasnović Gracin, Dubravka","first_name":"Dubravka","last_name":"Glasnović Gracin"},{"last_name":"Van Steenbrugge","first_name":"Hendrik","full_name":"Van Steenbrugge, Hendrik"},{"full_name":"Sievert, Henning","last_name":"Sievert","first_name":"Henning"}],"language":[{"iso":"eng"}],"file_date_updated":"2025-12-11T15:39:27Z","citation":{"short":"S. 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Norwegian University of Science and Technology.","bibtex":"@inproceedings{Rezat_Glasnović Gracin_Van Steenbrugge_Sievert_2025, title={The quality of print and digital mathematics curriculum resources}, booktitle={Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development.}, publisher={Norwegian University of Science and Technology.}, author={Rezat, Sebastian and Glasnović Gracin, Dubravka and Van Steenbrugge, Hendrik and Sievert, Henning}, editor={Pepin, Birgit and Kohanová, Iveta and Langfeldt, Marit Buset}, year={2025}, pages={72–91} }","ama":"Rezat S, Glasnović Gracin D, Van Steenbrugge H, Sievert H. The quality of print and digital mathematics curriculum resources. 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Students’ use of different material resources for specific purposes in the process of learning mathematics. In: Pepin B, Kohanová I, Langfeldt MB, eds. <i>Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development</i>. Norwegian University of Science and Technology; 2025.","bibtex":"@inproceedings{Stallmeister_Rezat_2025, title={Students’ use of different material resources for specific purposes in the process of learning mathematics}, booktitle={Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development}, publisher={Norwegian University of Science and Technology}, author={Stallmeister, Lea and Rezat, Sebastian}, editor={Pepin, Birgit and Kohanová, Iveta and Langfeldt, Marit Buset}, year={2025} }","apa":"Stallmeister, L., &#38; Rezat, S. (2025). Students’ use of different material resources for specific purposes in the process of learning mathematics. In B. Pepin, I. Kohanová, &#38; M. B. Langfeldt (Eds.), <i>Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development</i>. Norwegian University of Science and Technology.","ieee":"L. Stallmeister and S. Rezat, “Students’ use of different material resources for specific purposes in the process of learning mathematics,” in <i>Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development</i>, Trondheim, Norway, 2025.","short":"L. Stallmeister, S. Rezat, in: B. Pepin, I. Kohanová, M.B. Langfeldt (Eds.), Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development, Norwegian University of Science and Technology, 2025.","chicago":"Stallmeister, Lea, and Sebastian Rezat. “Students’ Use of Different Material Resources for Specific Purposes in the Process of Learning Mathematics.” In <i>Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development</i>, edited by Birgit Pepin, Iveta Kohanová, and Marit Buset Langfeldt. Norwegian University of Science and Technology, 2025."}},{"date_created":"2025-06-12T14:21:07Z","file":[{"date_created":"2025-06-12T14:23:07Z","creator":"srezat","file_id":"60197","success":1,"content_type":"application/pdf","relation":"main_file","date_updated":"2025-06-12T14:23:07Z","file_name":"s11858-025-01708-w.pdf","file_size":1296774,"access_level":"closed"}],"department":[{"_id":"360"}],"keyword":["governance","digital curriculum resources","digital textbooks","digital curriculum materials","quality"],"type":"journal_article","publication":"ZDM – Mathematics Education","abstract":[{"lang":"eng","text":"This paper examines the governance and quality control of digital curriculum resources (DCR) for K-12 mathematics education in Germany. It focuses on approval processes and criteria set by the 16 federal states, arguing that these have the potential to influence the development of DCR. Using qualitative content analysis, the study explores three research questions: which DCR require official approval, the criteria applied for approval, and the extent to which these criteria are mathematics-specific. Findings indicate that 10 federal states maintain official approval systems, covering digital equivalents of printed textbooks and selected supplemental materials. However, most DCR fall outside these regulated processes, leaving their evaluation largely to individual schools and teachers. The study identifies 17 categories of quality criteria, but reveals a lack of detailed, mathematics-specific requirements. Instead, many criteria are broad references to didactical principles and educational goals, leaving the interpretation and application of these quality standards open-ended. Subject-specific criteria are included but remain limited in specificity. The study underscores the need for research-informed, mathematics-specific quality standards to guide DCR development and approval, emphasizing their importance amidst challenges like artificial intelligence. Policymakers are urged to adopt clearer criteria to ensure high-quality DCR to be used in schools."}],"language":[{"iso":"eng"}],"doi":"10.1007/s11858-025-01708-w","author":[{"id":"31132","full_name":"Rezat, Sebastian","first_name":"Sebastian","last_name":"Rezat"}],"publication_identifier":{"issn":["1863-9690","1863-9704"]},"title":"The quality of digital curriculum resources for mathematics in German educational policy","year":"2025","intvolume":"        57","article_type":"original","date_updated":"2025-12-16T14:32:27Z","publication_status":"published","citation":{"ama":"Rezat S. The quality of digital curriculum resources for mathematics in German educational policy. <i>ZDM – Mathematics Education</i>. 2025;57:891–904. doi:<a href=\"https://doi.org/10.1007/s11858-025-01708-w\">10.1007/s11858-025-01708-w</a>","bibtex":"@article{Rezat_2025, title={The quality of digital curriculum resources for mathematics in German educational policy}, volume={57}, DOI={<a href=\"https://doi.org/10.1007/s11858-025-01708-w\">10.1007/s11858-025-01708-w</a>}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Rezat, Sebastian}, year={2025}, pages={891–904} }","mla":"Rezat, Sebastian. “The Quality of Digital Curriculum Resources for Mathematics in German Educational Policy.” <i>ZDM – Mathematics Education</i>, vol. 57, Springer Science and Business Media LLC, 2025, pp. 891–904, doi:<a href=\"https://doi.org/10.1007/s11858-025-01708-w\">10.1007/s11858-025-01708-w</a>.","chicago":"Rezat, Sebastian. “The Quality of Digital Curriculum Resources for Mathematics in German Educational Policy.” <i>ZDM – Mathematics Education</i> 57 (2025): 891–904. <a href=\"https://doi.org/10.1007/s11858-025-01708-w\">https://doi.org/10.1007/s11858-025-01708-w</a>.","short":"S. 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Rezat, “The quality of digital curriculum resources for mathematics in German educational policy,” <i>ZDM – Mathematics Education</i>, vol. 57, pp. 891–904, 2025, doi: <a href=\"https://doi.org/10.1007/s11858-025-01708-w\">10.1007/s11858-025-01708-w</a>."},"file_date_updated":"2025-06-12T14:23:07Z","quality_controlled":"1","_id":"60196","publisher":"Springer Science and Business Media LLC","page":" 891–904","volume":57,"ddc":["370"],"user_id":"31132","status":"public","has_accepted_license":"1"},{"status":"public","title":"An equivalence linking CM-types $A_\\infty$ and $D_\\infty$","year":"2025","author":[{"full_name":"Cummings, Charley","first_name":"Charley","last_name":"Cummings"},{"full_name":"Gratz, Sira","last_name":"Gratz","first_name":"Sira"},{"first_name":"Ellen","last_name":"Kirkman","full_name":"Kirkman, Ellen"},{"full_name":"Letz, Janina Carmen","orcid":"0000-0002-5497-8296","first_name":"Janina Carmen","last_name":"Letz","id":"121953"},{"last_name":"Rock","first_name":"J. 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Comput. Appl. Math","citation":{"bibtex":"@article{Wembe Moafo_Offen_Maslovskaya_Ober-Blöbaum_Singh, title={Commutator-free Cayley methods}, volume={477}, DOI={<a href=\"https://doi.org/10.1016/j.cam.2025.117184\">10.1016/j.cam.2025.117184</a>}, number={15}, journal={J. Comput. Appl. Math}, author={Wembe Moafo, Boris Edgar and Offen, Cristian  and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Singh, Pranav} }","ama":"Wembe Moafo BE, Offen C, Maslovskaya S, Ober-Blöbaum S, Singh P. Commutator-free Cayley methods. <i>J Comput Appl Math</i>. 477(15). doi:<a href=\"https://doi.org/10.1016/j.cam.2025.117184\">10.1016/j.cam.2025.117184</a>","mla":"Wembe Moafo, Boris Edgar, et al. “Commutator-Free Cayley Methods.” <i>J. Comput. Appl. Math</i>, vol. 477, no. 15, doi:<a href=\"https://doi.org/10.1016/j.cam.2025.117184\">10.1016/j.cam.2025.117184</a>.","chicago":"Wembe Moafo, Boris Edgar, Cristian  Offen, Sofya Maslovskaya, Sina Ober-Blöbaum, and Pranav Singh. “Commutator-Free Cayley Methods.” <i>J. Comput. Appl. Math</i> 477, no. 15 (n.d.). <a href=\"https://doi.org/10.1016/j.cam.2025.117184\">https://doi.org/10.1016/j.cam.2025.117184</a>.","short":"B.E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, P. Singh, J. Comput. Appl. Math 477 (n.d.).","ieee":"B. E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, and P. Singh, “Commutator-free Cayley methods,” <i>J. Comput. Appl. Math</i>, vol. 477, no. 15, doi: <a href=\"https://doi.org/10.1016/j.cam.2025.117184\">10.1016/j.cam.2025.117184</a>.","apa":"Wembe Moafo, B. E., Offen, C., Maslovskaya, S., Ober-Blöbaum, S., &#38; Singh, P. (n.d.). Commutator-free Cayley methods. <i>J. Comput. Appl. Math</i>, <i>477</i>(15). <a href=\"https://doi.org/10.1016/j.cam.2025.117184\">https://doi.org/10.1016/j.cam.2025.117184</a>"},"abstract":[{"lang":"eng","text":"Differential equations posed on quadratic matrix Lie groups arise in the context of classical mechanics and quantum dynamical systems. Lie group numerical integrators preserve the constants of motions defining the Lie group. Thus, they respect important physical laws of the dynamical system, such as unitarity and energy conservation in the context of quantum dynamical systems, for instance. In this article we develop a high-order commutator free Lie group integrator for non-autonomous differential equations evolving on quadratic Lie groups. Instead of matrix exponentials, which are expensive to evaluate and need to be approximated by appropriate rational functions in order to preserve the Lie group structure, the proposed method is obtained as a composition of Cayley transforms which naturally respect the structure of quadratic Lie groups while being computationally efficient to evaluate. Unlike Cayley-Magnus methods the method is also free from nested matrix commutators."}]},{"user_id":"15540","_id":"63187","language":[{"iso":"eng"}],"date_updated":"2025-12-18T13:17:18Z","author":[{"last_name":"Kidner","first_name":"Arnott Jeffery Joel","full_name":"Kidner, Arnott Jeffery Joel","id":"111755"},{"id":"15548","first_name":"Eckhard","orcid":"0000-0002-9808-7401","last_name":"Steffen","full_name":"Steffen, Eckhard"},{"id":"117508","last_name":"Yu","first_name":"Weiqiang","full_name":"Yu, Weiqiang"}],"status":"public","year":"2025","title":"Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor","department":[{"_id":"542"}],"type":"preprint","date_created":"2025-12-17T14:40:23Z","external_id":{"arxiv":["2512.14285"]},"citation":{"mla":"Kidner, Arnott Jeffery Joel, et al. “Edge-Coloring 4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” <i>ArXiv:2512.14285</i>, 2025.","ama":"Kidner AJJ, Steffen E, Yu W. Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor. <i>arXiv:251214285</i>. Published online 2025.","bibtex":"@article{Kidner_Steffen_Yu_2025, title={Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor}, journal={arXiv:2512.14285}, author={Kidner, Arnott Jeffery Joel and Steffen, Eckhard and Yu, Weiqiang}, year={2025} }","apa":"Kidner, A. J. J., Steffen, E., &#38; Yu, W. (2025). Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor. In <i>arXiv:2512.14285</i>.","ieee":"A. J. J. Kidner, E. Steffen, and W. Yu, “Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor,” <i>arXiv:2512.14285</i>. 2025.","short":"A.J.J. Kidner, E. Steffen, W. Yu, ArXiv:2512.14285 (2025).","chicago":"Kidner, Arnott Jeffery Joel, Eckhard Steffen, and Weiqiang Yu. “Edge-Coloring 4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” <i>ArXiv:2512.14285</i>, 2025."},"publication":"arXiv:2512.14285"},{"title":"Linear dimension of group actions","year":"2025","status":"public","author":[{"full_name":"Devillers, Alice","last_name":"Devillers","first_name":"Alice"},{"last_name":"Giudici","first_name":"Michael","full_name":"Giudici, Michael"},{"full_name":"Hawtin, Daniel R.","last_name":"Hawtin","first_name":"Daniel R."},{"id":"91965","full_name":"Klawuhn, Lukas-André Dominik","orcid":"0009-0009-7736-4885","first_name":"Lukas-André Dominik","last_name":"Klawuhn"},{"full_name":"Morgan, Luke","first_name":"Luke","last_name":"Morgan"}],"date_updated":"2025-12-19T11:23:41Z","_id":"63384","language":[{"iso":"eng"}],"user_id":"91965","citation":{"ama":"Devillers A, Giudici M, Hawtin DR, Klawuhn L-AD, Morgan L. Linear dimension of group actions. Published online 2025.","bibtex":"@article{Devillers_Giudici_Hawtin_Klawuhn_Morgan_2025, title={Linear dimension of group actions}, author={Devillers, Alice and Giudici, Michael and Hawtin, Daniel R. and Klawuhn, Lukas-André Dominik and Morgan, Luke}, year={2025} }","mla":"Devillers, Alice, et al. <i>Linear Dimension of Group Actions</i>. 2025.","short":"A. Devillers, M. Giudici, D.R. Hawtin, L.-A.D. Klawuhn, L. Morgan, (2025).","chicago":"Devillers, Alice, Michael Giudici, Daniel R. Hawtin, Lukas-André Dominik Klawuhn, and Luke Morgan. “Linear Dimension of Group Actions,” 2025.","apa":"Devillers, A., Giudici, M., Hawtin, D. R., Klawuhn, L.-A. D., &#38; Morgan, L. (2025). <i>Linear dimension of group actions</i>.","ieee":"A. Devillers, M. Giudici, D. R. Hawtin, L.-A. D. Klawuhn, and L. Morgan, “Linear dimension of group actions.” 2025."},"abstract":[{"text":"Two fundamental ways to represent a group are as permutations and as matrices. In this paper, we study linear representations of groups that intertwine with a permutation representation. Recently, D'Alconzo and Di Scala investigated how small the matrices in such a linear representation can be. The minimal dimension of such a representation is the \\emph{linear dimension of the group action} and this has applications in cryptography and cryptosystems.\r\n\r\nWe develop the idea of linear dimension from an algebraic point of view by using the theory of permutation modules. We give structural results about representations of minimal dimension and investigate the implications of faithfulness, transitivity and primitivity on the linear dimension. Furthermore, we compute the linear dimension of several classes of finite primitive permutation groups. We also study wreath products, allowing us to determine the linear dimension of imprimitive group actions. Finally, we give the linear dimension of almost simple finite $2$-transitive groups, some of which may be used for further applications in cryptography. Our results also open up many new questions about linear representations of group actions.","lang":"eng"}],"external_id":{"arxiv":["2512.16079"]},"date_created":"2025-12-19T11:20:46Z","type":"preprint","department":[{"_id":"100"}]},{"user_id":"113768","language":[{"iso":"eng"}],"_id":"63394","date_updated":"2025-12-22T08:37:35Z","author":[{"full_name":"Byun, Sung-Soo","first_name":"Sung-Soo","last_name":"Byun"},{"id":"113768","full_name":"Jalowy, Jonas","orcid":"0000-0001-9624-2685","first_name":"Jonas","last_name":"Jalowy"},{"last_name":"Lee","first_name":"Yong-Woo","full_name":"Lee, Yong-Woo"},{"full_name":"Schehr, Grégory","last_name":"Schehr","first_name":"Grégory"}],"title":"Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices","status":"public","year":"2025","department":[{"_id":"94"}],"type":"preprint","date_created":"2025-12-22T08:37:02Z","external_id":{"arxiv":["2511.09191"]},"abstract":[{"lang":"eng","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."}],"citation":{"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.","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.","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).","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>."},"publication":"arXiv:2511.09191"},{"language":[{"iso":"eng"}],"_id":"63393","user_id":"113768","author":[{"full_name":"Höfert, Antonia","last_name":"Höfert","first_name":"Antonia"},{"id":"113768","orcid":"0000-0001-9624-2685","first_name":"Jonas","last_name":"Jalowy","full_name":"Jalowy, Jonas"},{"first_name":"Zakhar","last_name":"Kabluchko","full_name":"Kabluchko, Zakhar"}],"title":"Zeros of polynomial powers under the heat flow","year":"2025","status":"public","date_updated":"2025-12-22T08:36:46Z","date_created":"2025-12-22T08:36:24Z","external_id":{"arxiv":["2512.17808"]},"department":[{"_id":"94"}],"type":"preprint","citation":{"apa":"Höfert, A., Jalowy, J., &#38; Kabluchko, Z. (2025). Zeros of polynomial powers under the heat flow. In <i>arXiv:2512.17808</i>.","ieee":"A. Höfert, J. Jalowy, and Z. Kabluchko, “Zeros of polynomial powers under the heat flow,” <i>arXiv:2512.17808</i>. 2025.","chicago":"Höfert, Antonia, Jonas Jalowy, and Zakhar Kabluchko. “Zeros of Polynomial Powers under the Heat Flow.” <i>ArXiv:2512.17808</i>, 2025.","short":"A. Höfert, J. Jalowy, Z. Kabluchko, ArXiv:2512.17808 (2025).","mla":"Höfert, Antonia, et al. “Zeros of Polynomial Powers under the Heat Flow.” <i>ArXiv:2512.17808</i>, 2025.","ama":"Höfert A, Jalowy J, Kabluchko Z. Zeros of polynomial powers under the heat flow. <i>arXiv:251217808</i>. Published online 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} }"},"publication":"arXiv:2512.17808","abstract":[{"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.","lang":"eng"}]},{"user_id":"32202","editor":[{"full_name":"Bosch, Marianna","first_name":"Marianna","last_name":"Bosch"},{"full_name":"Bolondi, Giorgio","first_name":"Giorgio","last_name":"Bolondi"},{"full_name":"Carreira, Susana","last_name":"Carreira","first_name":"Susana"},{"full_name":"Michael, Gaidoschik","last_name":"Michael","first_name":"Gaidoschik"},{"last_name":"Camilla","first_name":"Spagnolo","full_name":"Camilla, Spagnolo"}],"main_file_link":[{"url":"https://hal.science/CERME14/hal-05237875v1","open_access":"1"}],"language":[{"iso":"eng"}],"_id":"63434","date_updated":"2026-01-04T21:29:36Z","status":"public","title":"Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry","year":"2025","author":[{"last_name":"Hoffmann","first_name":"Max","full_name":"Hoffmann, Max"}],"type":"conference","keyword":["hoffmann","reviewed","proceedings"],"oa":"1","department":[{"_id":"97"},{"_id":"643"}],"date_created":"2026-01-04T21:26:04Z","quality_controlled":"1","publication":"Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)","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} }","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.","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.","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.","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.","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>.","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."}},{"page":"39-44","_id":"63433","language":[{"iso":"ger"}],"user_id":"32202","doi":"https://doi.org/10.5555/ml-253-2025_07","title":"Digitale Perspektiven auf das Heron-Verfahren","status":"public","year":"2025","author":[{"id":"32202","last_name":"Hoffmann","orcid":"0000-0002-6964-7123","first_name":"Max","full_name":"Hoffmann, Max"}],"publication_status":"published","date_updated":"2026-01-04T17:38:00Z","article_type":"original","date_created":"2026-01-04T17:37:54Z","type":"journal_article","department":[{"_id":"97"},{"_id":"643"}],"popular_science":"1","publication":"mathematik lehren","issue":"253","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>"}},{"project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"citation":{"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} }","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>.","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>.","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>."},"oa":"1","external_id":{"arxiv":["2411.14900"]},"status":"public","volume":35,"user_id":"11829","_id":"54837","publisher":"World Scientific Pub Co Pte Ltd","page":"2465-2512","publication":"Mathematical Models and Methods in Applied Sciences","issue":"11","department":[{"_id":"90"},{"_id":"49"}],"type":"journal_article","date_created":"2024-06-20T13:43:42Z","intvolume":"        35","date_updated":"2026-01-05T07:59:41Z","author":[{"last_name":"Claes","orcid":"0000-0002-4393-268X","first_name":"Leander","full_name":"Claes, Leander","id":"11829"},{"last_name":"Lankeit","first_name":"Johannes","full_name":"Lankeit, Johannes"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"publication_identifier":{"issn":["1793-6314"]},"title":"A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions","year":"2025","doi":"10.1142/s0218202525500447","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/pdf/2411.14900","open_access":"1"}]},{"user_id":"87909","language":[{"iso":"eng"}],"_id":"63510","date_updated":"2026-01-06T18:29:15Z","status":"public","year":"2025","title":"Second order optimality conditions in a new Lagrangian formulation for optimal control problems","author":[{"full_name":"Konopik, Michael","first_name":"Michael","last_name":"Konopik"},{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"},{"full_name":"Maslovskaya, Sofya","first_name":"Sofya","last_name":"Maslovskaya"},{"full_name":"Sina Ober-Blöbaum, Sina Ober-Blöbaum","first_name":"Sina Ober-Blöbaum","last_name":"Sina Ober-Blöbaum"},{"first_name":"Rodrigo T. Sato Martín de","last_name":"Almagro","full_name":"Almagro, Rodrigo T. Sato Martín de"}],"type":"preprint","department":[{"_id":"636"}],"external_id":{"arxiv":["2507.06024"]},"date_created":"2026-01-06T18:28:18Z","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"}],"publication":"arXiv:2507.06024","citation":{"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} }","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.","mla":"Konopik, Michael, et al. “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.","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.","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>."}},{"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","first_name":"Sofya","last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"first_name":"Sigrid","last_name":"Leyendecker","full_name":"Leyendecker, Sigrid"}],"title":"Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term","status":"public","year":"2025","intvolume":"        36","date_updated":"2026-01-06T18:26:57Z","_id":"59797","language":[{"iso":"eng"}],"volume":36,"user_id":"87909","doi":"10.1007/s00332-025-10229-5","citation":{"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} }","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>","short":"M. Konopik, R. T. Sato Martín de Almagro, S. Maslovskaya, S. Ober-Blöbaum, S. Leyendecker, Journal of Nonlinear Science 36 (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>.","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>.","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>.","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>"},"issue":"11","publication":"Journal of Nonlinear Science","date_created":"2025-05-05T09:35:31Z","department":[{"_id":"636"}],"type":"journal_article"},{"citation":{"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>.","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>.","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>.","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} }"},"publication":"Nonlinearity","issue":"11","date_created":"2025-05-05T09:37:50Z","department":[{"_id":"636"}],"type":"journal_article","author":[{"first_name":"Michael","last_name":"Konopik","full_name":"Konopik, Michael"},{"last_name":"Leyendecker","first_name":"Sigrid","full_name":"Leyendecker, Sigrid"},{"full_name":"Maslovskaya, Sofya","last_name":"Maslovskaya","first_name":"Sofya","id":"87909"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum"},{"last_name":"T. Sato Martín de Almagro","first_name":"Rodrigo","full_name":"T. Sato Martín de Almagro, Rodrigo"}],"title":"A new Lagrangian approach to optimal control of second-order systems","status":"public","year":"2025","intvolume":"        38","date_updated":"2026-01-06T18:24:40Z","_id":"59799","language":[{"iso":"eng"}],"volume":38,"user_id":"87909","doi":"10.1088/1361-6544/ae1d08"},{"type":"journal_article","department":[{"_id":"548"}],"date_created":"2024-04-11T12:31:34Z","abstract":[{"lang":"eng","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."}],"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>.","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>","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} }","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>","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>.","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>.","short":"B. Delarue, D. Monclair, A. Sanders, Geometric and Functional Analysis (GAFA) 35 (2025) 673–735."},"doi":"10.1007/s00039-025-00712-2","user_id":"70575","volume":35,"page":"673–735","_id":"53414","language":[{"iso":"eng"}],"date_updated":"2026-01-09T09:25:45Z","publication_status":"published","intvolume":"        35","article_type":"original","title":"Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing","status":"public","year":"2025","author":[{"first_name":"Benjamin","last_name":"Delarue","full_name":"Delarue, Benjamin","id":"70575"},{"first_name":"Daniel","last_name":"Monclair","full_name":"Monclair, Daniel"},{"full_name":"Sanders, Andrew","first_name":"Andrew","last_name":"Sanders"}]},{"date_created":"2024-04-11T12:30:59Z","department":[{"_id":"548"}],"type":"journal_article","citation":{"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>.","short":"B. Delarue, P. Ramacher, M. Schmitt, Transformation Groups (2025).","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>.","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>."},"publication":"Transformation Groups","abstract":[{"lang":"eng","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."}],"_id":"53412","language":[{"iso":"eng"}],"doi":"10.1007/s00031-025-09924-0","user_id":"70575","author":[{"full_name":"Delarue, Benjamin","first_name":"Benjamin","last_name":"Delarue","id":"70575"},{"full_name":"Ramacher, Pablo","first_name":"Pablo","last_name":"Ramacher"},{"last_name":"Schmitt","first_name":"Maximilian","full_name":"Schmitt, Maximilian"}],"status":"public","title":"Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity","year":"2025","article_type":"original","date_updated":"2026-01-09T09:27:08Z","publication_status":"epub_ahead"}]