[{"type":"preprint","citation":{"bibtex":"@article{Schütte_Weich_Delarue_2021, title={Resonances and weighted zeta functions for obstacle scattering via smooth models}, author={Schütte, Philipp and Weich, Tobias and Delarue, Benjamin}, year={2021} }","mla":"Schütte, Philipp, et al. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. 2021.","apa":"Schütte, P., Weich, T., & Delarue, B. (2021). Resonances and weighted zeta functions for obstacle scattering via smooth models.","ama":"Schütte P, Weich T, Delarue B. Resonances and weighted zeta functions for obstacle scattering via smooth models. Published online 2021.","chicago":"Schütte, Philipp, Tobias Weich, and Benjamin Delarue. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” 2021.","ieee":"P. Schütte, T. Weich, and B. Delarue, “Resonances and weighted zeta functions for obstacle scattering via smooth models.” 2021.","short":"P. Schütte, T. Weich, B. Delarue, (2021)."},"year":"2021","language":[{"iso":"eng"}],"date_updated":"2022-05-17T12:05:52Z","_id":"31058","date_created":"2022-05-04T12:25:58Z","status":"public","department":[{"_id":"10"},{"_id":"548"}],"author":[{"first_name":"Philipp","full_name":"Schütte, Philipp","last_name":"Schütte","id":"50168"},{"orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias","id":"49178","last_name":"Weich"},{"first_name":"Benjamin","full_name":"Delarue, Benjamin","last_name":"Delarue"}],"title":"Resonances and weighted zeta functions for obstacle scattering via smooth models","user_id":"50168","abstract":[{"text":"We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane.","lang":"eng"}],"external_id":{"arxiv":["2109.05907"]}},{"main_file_link":[{"url":"https://link.springer.com/article/10.1007/s00591-021-00299-3","open_access":"1"}],"type":"review","year":"2021","citation":{"bibtex":"@article{Hoffmann_2021, title={Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie}, volume={68}, DOI={10.1007/s00591-021-00299-3}, journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2021}, pages={295–297} }","mla":"Hoffmann, Max. “Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie.” Mathematische Semesterberichte, vol. 68, 2021, pp. 295–297, doi:10.1007/s00591-021-00299-3.","chicago":"Hoffmann, Max. “Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00299-3.","apa":"Hoffmann, M. (2021). Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie. In Mathematische Semesterberichte (Vol. 68, pp. 295–297). https://doi.org/10.1007/s00591-021-00299-3","ama":"Hoffmann M. Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie. Mathematische Semesterberichte. 2021;68:295–297. doi:10.1007/s00591-021-00299-3","ieee":"M. Hoffmann, “Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie,” Mathematische Semesterberichte, vol. 68. pp. 295–297, 2021, doi: 10.1007/s00591-021-00299-3.","short":"M. Hoffmann, Mathematische Semesterberichte 68 (2021) 295–297."},"page":"295–297","language":[{"iso":"ger"}],"date_updated":"2022-05-22T15:58:33Z","_id":"31385","intvolume":" 68","doi":"10.1007/s00591-021-00299-3","oa":"1","author":[{"full_name":"Hoffmann, Max","first_name":"Max","id":"32202","last_name":"Hoffmann"}],"publication":"Mathematische Semesterberichte","department":[{"_id":"97"}],"volume":68,"publication_status":"published","status":"public","date_created":"2022-05-22T15:20:46Z","title":"Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie","user_id":"32202"},{"_id":"31364","type":"book_chapter","citation":{"ieee":"M. Hoffmann, “Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn,” in Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021, pp. 179–204.","short":"M. Hoffmann, in: R. Biehler, A. Eichler, R. Hochmuth, S. Rach, N. Schaper (Eds.), Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert, Springer Berlin Heidelberg, Berlin, Heidelberg, 2021, pp. 179–204.","mla":"Hoffmann, Max. “Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn.” Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert, edited by Rolf Biehler et al., Springer Berlin Heidelberg, 2021, pp. 179–204, doi:10.1007/978-3-662-62854-6_9.","bibtex":"@inbook{Hoffmann_2021, place={Berlin, Heidelberg}, title={Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn}, DOI={10.1007/978-3-662-62854-6_9}, booktitle={ Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert}, publisher={Springer Berlin Heidelberg}, author={Hoffmann, Max}, editor={Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}, year={2021}, pages={179–204} }","chicago":"Hoffmann, Max. “Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn.” In Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert, edited by Rolf Biehler, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, 179–204. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. https://doi.org/10.1007/978-3-662-62854-6_9.","ama":"Hoffmann M. Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn. In: Biehler R, Eichler A, Hochmuth R, Rach S, Schaper N, eds. Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert. Springer Berlin Heidelberg; 2021:179–204. doi:10.1007/978-3-662-62854-6_9","apa":"Hoffmann, M. (2021). Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, & N. Schaper (Eds.), Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert (pp. 179–204). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-62854-6_9"},"year":"2021","page":"179–204","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-662-62854-6_9"}],"user_id":"32202","status":"public","date_created":"2022-05-22T13:56:39Z","quality_controlled":"1","author":[{"first_name":"Max","full_name":"Hoffmann, Max","last_name":"Hoffmann","id":"32202"}],"publisher":"Springer Berlin Heidelberg","publication":" Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert","doi":"10.1007/978-3-662-62854-6_9","date_updated":"2022-05-24T13:18:09Z","language":[{"iso":"ger"}],"title":"Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn","place":"Berlin, Heidelberg","editor":[{"last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"},{"last_name":"Eichler","first_name":"Andreas","full_name":"Eichler, Andreas"},{"last_name":"Hochmuth","first_name":"Reinhard","full_name":"Hochmuth, Reinhard"},{"last_name":"Rach","full_name":"Rach, Stefanie","first_name":"Stefanie"},{"full_name":"Schaper, Niclas","first_name":"Niclas","last_name":"Schaper"}],"publication_status":"published","publication_identifier":{"isbn":["9783662628539","9783662628546"],"issn":["2197-8751","2197-876X"]},"department":[{"_id":"97"}]},{"_id":"31261","intvolume":" 2021","issue":"11","page":"8225-8296","citation":{"ieee":"B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces,” International Mathematics Research Notices, vol. 2021, no. 11, pp. 8225–8296, 2021, doi: 10.1093/imrn/rnz068.","short":"B. Küster, T. Weich, International Mathematics Research Notices 2021 (2021) 8225–8296.","mla":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” International Mathematics Research Notices, vol. 2021, no. 11, Oxford University Press (OUP), 2021, pp. 8225–96, doi:10.1093/imrn/rnz068.","bibtex":"@article{Küster_Weich_2021, title={Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={10.1093/imrn/rnz068}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2021}, pages={8225–8296} }","chicago":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” International Mathematics Research Notices 2021, no. 11 (2021): 8225–96. https://doi.org/10.1093/imrn/rnz068.","apa":"Küster, B., & Weich, T. (2021). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices, 2021(11), 8225–8296. https://doi.org/10.1093/imrn/rnz068","ama":"Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices. 2021;2021(11):8225-8296. doi:10.1093/imrn/rnz068"},"type":"journal_article","year":"2021","abstract":[{"text":"Abstract\r\n For a compact Riemannian locally symmetric space $\\mathcal M$ of rank 1 and an associated vector bundle $\\mathbf V_{\\tau }$ over the unit cosphere bundle $S^{\\ast }\\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\\mathbf V_{\\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\\ast }\\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\\sigma )$ on compatible associated vector bundles $\\mathbf W_{\\sigma }$ over $\\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\\tau$ and $\\sigma$ defining the bundles $\\mathbf V_{\\tau }$ and $\\mathbf W_{\\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\\mathbf W_{\\sigma }$. Our methods of proof are based on representation theory and Lie theory.","lang":"eng"}],"user_id":"49178","keyword":["General Mathematics"],"publication":"International Mathematics Research Notices","author":[{"last_name":"Küster","first_name":"Benjamin","full_name":"Küster, Benjamin"},{"last_name":"Weich","full_name":"Weich, Tobias","first_name":"Tobias"}],"publisher":"Oxford University Press (OUP)","date_created":"2022-05-17T12:00:36Z","status":"public","volume":2021,"date_updated":"2022-05-25T06:42:01Z","doi":"10.1093/imrn/rnz068","language":[{"iso":"eng"}],"external_id":{"arxiv":["1710.04625"]},"title":"Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"publication_status":"published"},{"author":[{"first_name":"Uta","full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","id":"60267"},{"last_name":"Nührenbürger","full_name":"Nührenbürger, Marcus","first_name":"Marcus"}],"publisher":"Springer","publication":"Zeitschrift für Grundschulforschung (ZfG)","department":[{"_id":"98"},{"_id":"543"}],"status":"public","date_created":"2022-06-02T08:04:02Z","publication_status":"published","related_material":{"link":[{"relation":"contains","url":"https://link.springer.com/content/pdf/10.1007/s42278-020-00097-1.pdf"}]},"user_id":"85821","title":"Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.","language":[{"iso":"ger"}],"year":"2021","type":"journal_article","citation":{"bibtex":"@article{Häsel-Weide_Nührenbürger_2021, title={Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.}, number={14}, journal={Zeitschrift für Grundschulforschung (ZfG)}, publisher={Springer}, author={Häsel-Weide, Uta and Nührenbürger, Marcus}, year={2021}, pages={49–65} }","mla":"Häsel-Weide, Uta, and Marcus Nührenbürger. “Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.” Zeitschrift für Grundschulforschung (ZfG), no. 14, Springer, 2021, pp. 49–65.","chicago":"Häsel-Weide, Uta, and Marcus Nührenbürger. “Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.” Zeitschrift für Grundschulforschung (ZfG), no. 14 (2021): 49–65.","apa":"Häsel-Weide, U., & Nührenbürger, M. (2021). Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen. Zeitschrift für Grundschulforschung (ZfG), 14, 49–65.","ama":"Häsel-Weide U, Nührenbürger M. Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen. Zeitschrift für Grundschulforschung (ZfG). 2021;(14):49-65.","ieee":"U. Häsel-Weide and M. Nührenbürger, “Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.,” Zeitschrift für Grundschulforschung (ZfG), no. 14, pp. 49–65, 2021.","short":"U. Häsel-Weide, M. Nührenbürger, Zeitschrift für Grundschulforschung (ZfG) (2021) 49–65."},"page":"49-65","date_updated":"2022-06-02T08:04:19Z","_id":"31576","issue":"14"},{"author":[{"last_name":"Häsel-Weide","id":"60267","first_name":"Uta","full_name":"Häsel-Weide, Uta"},{"last_name":"Schöttler","first_name":"Christian","full_name":"Schöttler, Christian"}],"publication":"Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP)","department":[{"_id":"98"},{"_id":"543"}],"publication_identifier":{"issn":[" 2701-9012"]},"publication_status":"published","status":"public","date_created":"2022-06-02T08:09:31Z","title":"Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen","user_id":"85821","related_material":{"link":[{"url":"https://zmfp.de/fileadmin/user_upload/veroeffentlichungen/ZMFP_2021_Ha__sel-Weide_Scho__ttler_Dezimalsystem_ISSN.pdf","relation":"contains"}]},"citation":{"short":"U. Häsel-Weide, C. Schöttler, Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP) (2021).","ieee":"U. Häsel-Weide and C. Schöttler, “Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen,” Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP), no. 2, 2021.","chicago":"Häsel-Weide, Uta, and Christian Schöttler. “Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen.” Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP), no. 2 (2021).","apa":"Häsel-Weide, U., & Schöttler, C. (2021). Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen. Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP), 2.","ama":"Häsel-Weide U, Schöttler C. Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen. Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP). 2021;(2).","bibtex":"@article{Häsel-Weide_Schöttler_2021, title={Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen}, number={2}, journal={Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP)}, author={Häsel-Weide, Uta and Schöttler, Christian}, year={2021} }","mla":"Häsel-Weide, Uta, and Christian Schöttler. “Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen.” Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP), no. 2, 2021."},"type":"journal_article","year":"2021","language":[{"iso":"ger"}],"_id":"31577","date_updated":"2022-06-02T09:05:00Z","issue":"2"},{"user_id":"15540","status":"public","date_created":"2022-08-15T09:35:02Z","volume":100,"publisher":"Elsevier BV","author":[{"full_name":"Li, Jiaao","first_name":"Jiaao","last_name":"Li"},{"first_name":"Yulai","full_name":"Ma, Yulai","last_name":"Ma","id":"92748"},{"last_name":"Shi","first_name":"Yongtang","full_name":"Shi, Yongtang"},{"first_name":"Weifan","full_name":"Wang, Weifan","last_name":"Wang"},{"last_name":"Wu","first_name":"Yezhou","full_name":"Wu, Yezhou"}],"keyword":["Discrete Mathematics and Combinatorics"],"publication":"European Journal of Combinatorics","article_number":"103451","_id":"32810","intvolume":" 100","year":"2021","citation":{"ieee":"J. Li, Y. Ma, Y. Shi, W. Wang, and Y. Wu, “On 3-flow-critical graphs,” European Journal of Combinatorics, vol. 100, Art. no. 103451, 2021, doi: 10.1016/j.ejc.2021.103451.","short":"J. Li, Y. Ma, Y. Shi, W. Wang, Y. Wu, European Journal of Combinatorics 100 (2021).","mla":"Li, Jiaao, et al. “On 3-Flow-Critical Graphs.” European Journal of Combinatorics, vol. 100, 103451, Elsevier BV, 2021, doi:10.1016/j.ejc.2021.103451.","bibtex":"@article{Li_Ma_Shi_Wang_Wu_2021, title={On 3-flow-critical graphs}, volume={100}, DOI={10.1016/j.ejc.2021.103451}, number={103451}, journal={European Journal of Combinatorics}, publisher={Elsevier BV}, author={Li, Jiaao and Ma, Yulai and Shi, Yongtang and Wang, Weifan and Wu, Yezhou}, year={2021} }","chicago":"Li, Jiaao, Yulai Ma, Yongtang Shi, Weifan Wang, and Yezhou Wu. “On 3-Flow-Critical Graphs.” European Journal of Combinatorics 100 (2021). https://doi.org/10.1016/j.ejc.2021.103451.","ama":"Li J, Ma Y, Shi Y, Wang W, Wu Y. On 3-flow-critical graphs. European Journal of Combinatorics. 2021;100. doi:10.1016/j.ejc.2021.103451","apa":"Li, J., Ma, Y., Shi, Y., Wang, W., & Wu, Y. (2021). On 3-flow-critical graphs. European Journal of Combinatorics, 100, Article 103451. https://doi.org/10.1016/j.ejc.2021.103451"},"type":"journal_article","title":"On 3-flow-critical graphs","publication_identifier":{"issn":["0195-6698"]},"publication_status":"published","department":[{"_id":"542"}],"doi":"10.1016/j.ejc.2021.103451","date_updated":"2022-08-15T09:35:32Z","language":[{"iso":"eng"}]},{"title":"Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature","related_material":{"link":[{"relation":"contains","url":"https://link.springer.com/article/10.1007/s00023-021-01121-5"}]},"publication_status":"published","department":[{"_id":"96"}],"oa":"1","date_updated":"2022-09-08T06:06:13Z","language":[{"iso":"eng"}],"user_id":"85821","abstract":[{"lang":"eng","text":"The kinetic Brownian motion on the sphere bundle of a Riemannian manifold M is a stochastic process that models a random perturbation of the geodesic flow. If M is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the L2-spectrum of the infinitesimal generator of a time-rescaled version of the process converges to the Laplace spectrum of the base manifold."}],"volume":23,"status":"public","date_created":"2022-09-07T07:05:33Z","publisher":"Springer Science + Business Media","author":[{"id":"48880","last_name":"Kolb","full_name":"Kolb, Martin","first_name":"Martin"},{"full_name":"Weich, Tobias","first_name":"Tobias","last_name":"Weich"},{"full_name":"Wolf, Lasse","first_name":"Lasse","last_name":"Wolf"}],"publication":"Annales Henri Poincaré ","issue":"4","_id":"33278","intvolume":" 23","citation":{"ieee":"M. Kolb, T. Weich, and L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature,” Annales Henri Poincaré , vol. 23, no. 4, pp. 1283–1296, 2021.","short":"M. Kolb, T. Weich, L. Wolf, Annales Henri Poincaré 23 (2021) 1283–1296.","bibtex":"@article{Kolb_Weich_Wolf_2021, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature}, volume={23}, number={4}, journal={Annales Henri Poincaré }, publisher={Springer Science + Business Media}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse}, year={2021}, pages={1283–1296} }","mla":"Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré , vol. 23, no. 4, Springer Science + Business Media, 2021, pp. 1283–96.","ama":"Kolb M, Weich T, Wolf L. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré . 2021;23(4):1283-1296.","apa":"Kolb, M., Weich, T., & Wolf, L. (2021). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré , 23(4), 1283–1296.","chicago":"Kolb, Martin, Tobias Weich, and Lasse Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré 23, no. 4 (2021): 1283–96."},"type":"journal_article","year":"2021","page":"1283-1296","main_file_link":[{"url":"https://link.springer.com/article/10.1007/s00023-021-01121-5","open_access":"1"}]},{"user_id":"49178","ddc":["510"],"title":"Wave Front Sets of Nilpotent Lie Group Representations","date_created":"2022-06-22T09:56:43Z","status":"public","has_accepted_license":"1","file":[{"file_name":"2103.02968.pdf","date_created":"2022-06-22T09:56:39Z","access_level":"open_access","creator":"weich","file_id":"32100","file_size":978990,"relation":"main_file","content_type":"application/pdf","date_updated":"2022-06-22T09:56:39Z"}],"file_date_updated":"2022-06-22T09:56:39Z","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"publication":"arXiv:2103.02968v1","author":[{"first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","last_name":"Weich","id":"49178"},{"last_name":"Budde","first_name":"Julia","full_name":"Budde, Julia"}],"oa":"1","_id":"32099","date_updated":"2022-09-12T07:49:55Z","language":[{"iso":"eng"}],"citation":{"ieee":"T. Weich and J. Budde, “Wave Front Sets of Nilpotent Lie Group Representations,” arXiv:2103.02968v1. 2021.","short":"T. Weich, J. Budde, ArXiv:2103.02968v1 (2021).","bibtex":"@article{Weich_Budde_2021, title={Wave Front Sets of Nilpotent Lie Group Representations}, journal={arXiv:2103.02968v1}, author={Weich, Tobias and Budde, Julia}, year={2021} }","mla":"Weich, Tobias, and Julia Budde. “Wave Front Sets of Nilpotent Lie Group Representations.” ArXiv:2103.02968v1, 2021.","ama":"Weich T, Budde J. Wave Front Sets of Nilpotent Lie Group Representations. arXiv:210302968v1. Published online 2021.","apa":"Weich, T., & Budde, J. (2021). Wave Front Sets of Nilpotent Lie Group Representations. In arXiv:2103.02968v1.","chicago":"Weich, Tobias, and Julia Budde. “Wave Front Sets of Nilpotent Lie Group Representations.” ArXiv:2103.02968v1, 2021."},"type":"preprint","year":"2021"},{"citation":{"short":"T. Richthammer, M. Fiedler, Stochastic Processes and Their Applications 132 (2021) 1–32.","ieee":"T. Richthammer and M. Fiedler, “A lower bound on the displacement of particles in 2D Gibbsian particle systems,” Stochastic Processes and their Applications, vol. 132, pp. 1–32, 2021, doi: https://doi.org/10.1016/j.spa.2020.10.003.","ama":"Richthammer T, Fiedler M. A lower bound on the displacement of particles in 2D Gibbsian particle systems. Stochastic Processes and their Applications. 2021;132:1-32. doi:https://doi.org/10.1016/j.spa.2020.10.003","apa":"Richthammer, T., & Fiedler, M. (2021). A lower bound on the displacement of particles in 2D Gibbsian particle systems. Stochastic Processes and Their Applications, 132, 1–32. https://doi.org/10.1016/j.spa.2020.10.003","chicago":"Richthammer, Thomas, and Michael Fiedler. “A Lower Bound on the Displacement of Particles in 2D Gibbsian Particle Systems.” Stochastic Processes and Their Applications 132 (2021): 1–32. https://doi.org/10.1016/j.spa.2020.10.003.","bibtex":"@article{Richthammer_Fiedler_2021, title={A lower bound on the displacement of particles in 2D Gibbsian particle systems}, volume={132}, DOI={https://doi.org/10.1016/j.spa.2020.10.003}, journal={Stochastic Processes and their Applications}, publisher={Elsevier}, author={Richthammer, Thomas and Fiedler, Michael}, year={2021}, pages={1–32} }","mla":"Richthammer, Thomas, and Michael Fiedler. “A Lower Bound on the Displacement of Particles in 2D Gibbsian Particle Systems.” Stochastic Processes and Their Applications, vol. 132, Elsevier, 2021, pp. 1–32, doi:https://doi.org/10.1016/j.spa.2020.10.003."},"type":"journal_article","year":"2021","page":"1-32","language":[{"iso":"eng"}],"_id":"33481","intvolume":" 132","date_updated":"2022-09-26T06:54:06Z","doi":"https://doi.org/10.1016/j.spa.2020.10.003","publisher":"Elsevier","author":[{"first_name":"Thomas","full_name":"Richthammer, Thomas","last_name":"Richthammer","id":"62054"},{"first_name":"Michael","full_name":"Fiedler, Michael","last_name":"Fiedler"}],"department":[{"_id":"96"}],"publication":"Stochastic Processes and their Applications","publication_status":"published","volume":132,"status":"public","date_created":"2022-09-26T06:53:59Z","abstract":[{"lang":"eng","text":"While 2D Gibbsian particle systems might exhibit orientational order resulting in a lattice-like structure, these particle systems do not exhibit positional order if the interaction between particles satisfies some weak assumptions. Here we investigate to which extent particles within a box of size may fluctuate from their ideal lattice position. We show that particles near the center of the box typically show a displacement at least of order . Thus we extend recent results on the hard disk model to particle systems with fairly arbitrary particle spins and interaction. Our result applies to models such as rather general continuum Potts type models, e.g. with Widom–Rowlinson or Lenard-Jones-type interaction."}],"title":"A lower bound on the displacement of particles in 2D Gibbsian particle systems","user_id":"85821"}]