[{"status":"public","publication":"Indagationes Mathematicae.","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Lie group actions and analytic 1-submanifolds"],"department":[{"_id":"93"}],"user_id":"30905","_id":"34833","intvolume":"        34","page":"752-811","citation":{"chicago":"Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” <i>Indagationes Mathematicae.</i> 34, no. 4 (2023): 752–811. <a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">https://doi.org/10.1016/j.indag.2023.02.003</a>.","ieee":"M. Hanusch, “Decompositions of Analytic 1-Manifolds,” <i>Indagationes Mathematicae.</i>, vol. 34, no. 4, pp. 752–811, 2023, doi: <a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">10.1016/j.indag.2023.02.003</a>.","ama":"Hanusch M. Decompositions of Analytic 1-Manifolds. <i>Indagationes Mathematicae</i>. 2023;34(4):752-811. doi:<a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">10.1016/j.indag.2023.02.003</a>","bibtex":"@article{Hanusch_2023, title={Decompositions of Analytic 1-Manifolds}, volume={34}, DOI={<a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">10.1016/j.indag.2023.02.003</a>}, number={4}, journal={Indagationes Mathematicae.}, author={Hanusch, Maximilian}, year={2023}, pages={752–811} }","short":"M. Hanusch, Indagationes Mathematicae. 34 (2023) 752–811.","mla":"Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” <i>Indagationes Mathematicae.</i>, vol. 34, no. 4, 2023, pp. 752–811, doi:<a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">10.1016/j.indag.2023.02.003</a>.","apa":"Hanusch, M. (2023). Decompositions of Analytic 1-Manifolds. <i>Indagationes Mathematicae.</i>, <i>34</i>(4), 752–811. <a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">https://doi.org/10.1016/j.indag.2023.02.003</a>"},"year":"2023","issue":"4","publication_status":"published","doi":"10.1016/j.indag.2023.02.003","title":"Decompositions of Analytic 1-Manifolds","volume":34,"date_created":"2022-12-22T09:46:36Z","author":[{"first_name":"Maximilian","last_name":"Hanusch","full_name":"Hanusch, Maximilian","id":"30905"}],"date_updated":"2023-05-25T07:32:38Z"},{"date_created":"2026-01-16T08:39:40Z","publisher":"Springer Science and Business Media LLC","title":"Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions","issue":"6","year":"2023","external_id":{"arxiv":["2211.14046"]},"language":[{"iso":"eng"}],"publication":"Annales Henri Poincaré","author":[{"orcid":"0000-0001-9074-1205","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin","id":"99427","first_name":"Benjamin"},{"first_name":"Oliver","last_name":"Matte","full_name":"Matte, Oliver"}],"volume":25,"oa":"1","date_updated":"2026-01-16T09:05:26Z","main_file_link":[{"open_access":"1"}],"doi":"10.1007/s00023-023-01369-z","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]},"citation":{"mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions.” <i>Annales Henri Poincaré</i>, vol. 25, no. 6, Springer Science and Business Media LLC, 2023, pp. 2877–940, doi:<a href=\"https://doi.org/10.1007/s00023-023-01369-z\">10.1007/s00023-023-01369-z</a>.","short":"B. Hinrichs, O. Matte, Annales Henri Poincaré 25 (2023) 2877–2940.","bibtex":"@article{Hinrichs_Matte_2023, title={Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00023-023-01369-z\">10.1007/s00023-023-01369-z</a>}, number={6}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2023}, pages={2877–2940} }","apa":"Hinrichs, B., &#38; Matte, O. (2023). Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions. <i>Annales Henri Poincaré</i>, <i>25</i>(6), 2877–2940. <a href=\"https://doi.org/10.1007/s00023-023-01369-z\">https://doi.org/10.1007/s00023-023-01369-z</a>","ama":"Hinrichs B, Matte O. Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions. <i>Annales Henri Poincaré</i>. 2023;25(6):2877-2940. doi:<a href=\"https://doi.org/10.1007/s00023-023-01369-z\">10.1007/s00023-023-01369-z</a>","chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions.” <i>Annales Henri Poincaré</i> 25, no. 6 (2023): 2877–2940. <a href=\"https://doi.org/10.1007/s00023-023-01369-z\">https://doi.org/10.1007/s00023-023-01369-z</a>.","ieee":"B. Hinrichs and O. Matte, “Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions,” <i>Annales Henri Poincaré</i>, vol. 25, no. 6, pp. 2877–2940, 2023, doi: <a href=\"https://doi.org/10.1007/s00023-023-01369-z\">10.1007/s00023-023-01369-z</a>."},"intvolume":"        25","page":"2877-2940","user_id":"99427","department":[{"_id":"799"}],"_id":"63635","extern":"1","article_type":"original","type":"journal_article","status":"public"},{"article_number":"127558","department":[{"_id":"799"}],"user_id":"99427","_id":"46100","status":"public","type":"journal_article","doi":"10.1016/j.jmaa.2023.127558","main_file_link":[{"open_access":"1"}],"volume":528,"author":[{"id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","first_name":"Benjamin"},{"full_name":"Janssen, Daan W.","last_name":"Janssen","first_name":"Daan W."},{"first_name":"Jobst","last_name":"Ziebell","full_name":"Ziebell, Jobst"}],"oa":"1","date_updated":"2026-01-16T09:04:39Z","intvolume":"       528","citation":{"apa":"Hinrichs, B., Janssen, D. W., &#38; Ziebell, J. (2023). Super-Gaussian decay of exponentials: A sufficient condition. <i>Journal of Mathematical Analysis and Applications</i>, <i>528</i>(1), Article 127558. <a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">https://doi.org/10.1016/j.jmaa.2023.127558</a>","mla":"Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 528, no. 1, 127558, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">10.1016/j.jmaa.2023.127558</a>.","bibtex":"@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of exponentials: A sufficient condition}, volume={528}, DOI={<a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">10.1016/j.jmaa.2023.127558</a>}, number={1127558}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell, Jobst}, year={2023} }","short":"B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023).","ama":"Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A sufficient condition. <i>Journal of Mathematical Analysis and Applications</i>. 2023;528(1). doi:<a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">10.1016/j.jmaa.2023.127558</a>","chicago":"Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” <i>Journal of Mathematical Analysis and Applications</i> 528, no. 1 (2023). <a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">https://doi.org/10.1016/j.jmaa.2023.127558</a>.","ieee":"B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials: A sufficient condition,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 528, no. 1, Art. no. 127558, 2023, doi: <a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">10.1016/j.jmaa.2023.127558</a>."},"publication_identifier":{"issn":["0022-247X"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"external_id":{"arxiv":["2205.09189"]},"publication":"Journal of Mathematical Analysis and Applications","title":"Super-Gaussian decay of exponentials: A sufficient condition","date_created":"2023-07-20T05:08:49Z","publisher":"Elsevier BV","year":"2023","issue":"1"},{"type":"journal_article","status":"public","department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"user_id":"49178","_id":"31190","intvolume":"        16","page":"2241–2265","citation":{"short":"J. Hilgert, T. Weich, L.L. Wolf, Analysis &#38; PDE 16 (2023) 2241–2265.","mla":"Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” <i>Analysis &#38; PDE</i>, vol. 16, no. 10, MSP, 2023, pp. 2241–2265, doi:<a href=\"https://doi.org/10.2140/apde.2023.16.2241\">https://doi.org/10.2140/apde.2023.16.2241</a>.","bibtex":"@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical correspondence}, volume={16}, DOI={<a href=\"https://doi.org/10.2140/apde.2023.16.2241\">https://doi.org/10.2140/apde.2023.16.2241</a>}, number={10}, journal={Analysis &#38; PDE}, publisher={MSP}, author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }","apa":"Hilgert, J., Weich, T., &#38; Wolf, L. L. (2023). Higher rank quantum-classical correspondence. <i>Analysis &#38; PDE</i>, <i>16</i>(10), 2241–2265. <a href=\"https://doi.org/10.2140/apde.2023.16.2241\">https://doi.org/10.2140/apde.2023.16.2241</a>","ama":"Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. <i>Analysis &#38; PDE</i>. 2023;16(10):2241–2265. doi:<a href=\"https://doi.org/10.2140/apde.2023.16.2241\">https://doi.org/10.2140/apde.2023.16.2241</a>","chicago":"Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” <i>Analysis &#38; PDE</i> 16, no. 10 (2023): 2241–2265. <a href=\"https://doi.org/10.2140/apde.2023.16.2241\">https://doi.org/10.2140/apde.2023.16.2241</a>.","ieee":"J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” <i>Analysis &#38; PDE</i>, vol. 16, no. 10, pp. 2241–2265, 2023, doi: <a href=\"https://doi.org/10.2140/apde.2023.16.2241\">https://doi.org/10.2140/apde.2023.16.2241</a>."},"volume":16,"author":[{"full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert","first_name":"Joachim"},{"first_name":"Tobias","id":"49178","full_name":"Weich, Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919"},{"first_name":"Lasse Lennart","id":"45027","full_name":"Wolf, Lasse Lennart","last_name":"Wolf","orcid":"0000-0001-8893-2045"}],"date_updated":"2026-02-18T10:39:36Z","doi":"https://doi.org/10.2140/apde.2023.16.2241","publication":"Analysis & PDE","abstract":[{"text":"For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$ of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions of the algebra of invariant differential\r\noperators on $G/K$.","lang":"eng"}],"external_id":{"arxiv":["2103.05667"]},"language":[{"iso":"eng"}],"issue":"10","year":"2023","date_created":"2022-05-11T10:41:35Z","publisher":"MSP","title":"Higher rank quantum-classical correspondence"},{"doi":"https://doi.org/10.1007/s00220-022-04538-z","title":"Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems","volume":398,"author":[{"first_name":"Philipp","last_name":"Schütte","full_name":"Schütte, Philipp","id":"50168"},{"first_name":"Tobias","full_name":"Weich, Tobias","id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919"},{"first_name":"Sonja","full_name":"Barkhofen, Sonja","id":"48188","last_name":"Barkhofen"}],"date_created":"2022-05-04T12:27:46Z","date_updated":"2026-02-18T10:41:07Z","page":"655-678","intvolume":"       398","citation":{"apa":"Schütte, P., Weich, T., &#38; Barkhofen, S. (2023). Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. <i>Communications in Mathematical Physics</i>, <i>398</i>, 655–678. <a href=\"https://doi.org/10.1007/s00220-022-04538-z\">https://doi.org/10.1007/s00220-022-04538-z</a>","short":"P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678.","bibtex":"@article{Schütte_Weich_Barkhofen_2023, title={Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems}, volume={398}, DOI={<a href=\"https://doi.org/10.1007/s00220-022-04538-z\">https://doi.org/10.1007/s00220-022-04538-z</a>}, journal={Communications in Mathematical Physics}, author={Schütte, Philipp and Weich, Tobias and Barkhofen, Sonja}, year={2023}, pages={655–678} }","mla":"Schütte, Philipp, et al. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” <i>Communications in Mathematical Physics</i>, vol. 398, 2023, pp. 655–78, doi:<a href=\"https://doi.org/10.1007/s00220-022-04538-z\">https://doi.org/10.1007/s00220-022-04538-z</a>.","ama":"Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. <i>Communications in Mathematical Physics</i>. 2023;398:655-678. doi:<a href=\"https://doi.org/10.1007/s00220-022-04538-z\">https://doi.org/10.1007/s00220-022-04538-z</a>","ieee":"P. Schütte, T. Weich, and S. Barkhofen, “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems,” <i>Communications in Mathematical Physics</i>, vol. 398, pp. 655–678, 2023, doi: <a href=\"https://doi.org/10.1007/s00220-022-04538-z\">https://doi.org/10.1007/s00220-022-04538-z</a>.","chicago":"Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” <i>Communications in Mathematical Physics</i> 398 (2023): 655–78. <a href=\"https://doi.org/10.1007/s00220-022-04538-z\">https://doi.org/10.1007/s00220-022-04538-z</a>."},"year":"2023","language":[{"iso":"eng"}],"department":[{"_id":"10"},{"_id":"548"},{"_id":"623"},{"_id":"15"}],"user_id":"49178","external_id":{"arxiv":["2112.05791"]},"_id":"31059","status":"public","abstract":[{"text":"In this article we prove meromorphic continuation of weighted zeta functions in the framework of open hyperbolic systems by using the meromorphically continued restricted resolvent of Dyatlov and Guillarmou (2016). We obtain a residue formula proving equality between residues of weighted zetas and invariant Ruelle distributions. We combine this equality with results of Guillarmou, Hilgert and Weich (2021) in order to relate the residues to Patterson-Sullivan distributions. Finally we provide proof-of-principle results concerning the numerical calculation of invariant Ruelle distributions for 3-disc scattering systems.","lang":"eng"}],"publication":"Communications in Mathematical Physics","type":"journal_article"},{"title":"Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters","author":[{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"},{"first_name":"C.","full_name":"Arends, C.","last_name":"Arends"}],"date_created":"2024-02-19T06:34:11Z","volume":10,"date_updated":"2026-03-31T08:26:09Z","citation":{"chicago":"Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” <i>J. de l’École Polytechnique — Mathématiques</i> 10 (2023): 335–403.","ieee":"J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters,” <i>J. de l’École polytechnique — Mathématiques</i>, vol. 10, pp. 335–403, 2023.","short":"J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403.","mla":"Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” <i>J. de l’École Polytechnique — Mathématiques</i>, vol. 10, 2023, pp. 335–403.","bibtex":"@article{Hilgert_Arends_2023, title={Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters}, volume={10}, journal={J. de l’École polytechnique — Mathématiques}, author={Hilgert, Joachim and Arends, C.}, year={2023}, pages={335–403} }","apa":"Hilgert, J., &#38; Arends, C. (2023). Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. <i>J. de l’École Polytechnique — Mathématiques</i>, <i>10</i>, 335–403.","ama":"Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. <i>J de l’École polytechnique — Mathématiques</i>. 2023;10:335-403."},"intvolume":"        10","page":"335-403","year":"2023","publication_status":"published","language":[{"iso":"eng"}],"user_id":"220","department":[{"_id":"91"}],"_id":"51383","status":"public","type":"journal_article","publication":"J. de l'École polytechnique — Mathématiques"},{"status":"public","type":"journal_article","publication":"J. Diff. Equations","language":[{"iso":"eng"}],"user_id":"220","department":[{"_id":"91"}],"_id":"51384","citation":{"ama":"Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>J Diff Equations</i>. 2023;343:186-232.","chicago":"Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>J. Diff. Equations</i> 343 (2023): 186–232.","ieee":"J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” <i>J. Diff. Equations</i>, vol. 343, pp. 186–232, 2023.","short":"J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.","bibtex":"@article{Hilgert_Glöckner_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, journal={J. Diff. Equations}, author={Hilgert, Joachim and Glöckner, H.}, year={2023}, pages={186–232} }","mla":"Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>J. Diff. Equations</i>, vol. 343, 2023, pp. 186–232.","apa":"Hilgert, J., &#38; Glöckner, H. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>J. Diff. Equations</i>, <i>343</i>, 186–232."},"page":"186-232","intvolume":"       343","year":"2023","publication_status":"published","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","date_created":"2024-02-19T06:35:08Z","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"},{"first_name":"H.","last_name":"Glöckner","full_name":"Glöckner, H."}],"volume":343,"date_updated":"2026-03-31T08:25:53Z"},{"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"_id":"31982","department":[{"_id":"548"}],"user_id":"70575","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We show that for a generic conformal metric perturbation of a compact hyperbolic 3-manifold <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Sigma $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>Σ</mml:mi>\r\n                </mml:math></jats:alternatives></jats:inline-formula> with Betti number <jats:inline-formula><jats:alternatives><jats:tex-math>$$b_1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msub>\r\n                    <mml:mi>b</mml:mi>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:msub>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, the order of vanishing of the Ruelle zeta function at zero equals <jats:inline-formula><jats:alternatives><jats:tex-math>$$4-b_1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mn>4</mml:mn>\r\n                    <mml:mo>-</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>b</mml:mi>\r\n                      <mml:mn>1</mml:mn>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, while in the hyperbolic case it is equal to <jats:inline-formula><jats:alternatives><jats:tex-math>$$4-2b_1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mn>4</mml:mn>\r\n                    <mml:mo>-</mml:mo>\r\n                    <mml:mn>2</mml:mn>\r\n                    <mml:msub>\r\n                      <mml:mi>b</mml:mi>\r\n                      <mml:mn>1</mml:mn>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>. This is in contrast to the 2-dimensional case where the order of vanishing is a topological invariant. The proof uses the microlocal approach to dynamical zeta functions, giving a geometric description of generalized Pollicott–Ruelle resonant differential forms at 0 in the hyperbolic case and using first variation for the perturbation. To show that the first variation is generically nonzero we introduce a new identity relating pushforwards of products of resonant and coresonant 2-forms on the sphere bundle <jats:inline-formula><jats:alternatives><jats:tex-math>$$S\\Sigma $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>S</mml:mi>\r\n                    <mml:mi>Σ</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> with harmonic 1-forms on <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Sigma $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>Σ</mml:mi>\r\n                </mml:math></jats:alternatives></jats:inline-formula>.</jats:p>","lang":"eng"}],"status":"public","publication":"Inventiones mathematicae","type":"journal_article","title":"The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds","doi":"10.1007/s00222-022-01108-x","publisher":"Springer Science and Business Media LLC","date_updated":"2022-06-21T11:55:15Z","volume":229,"author":[{"first_name":"Mihajlo","full_name":"Cekić, Mihajlo","last_name":"Cekić"},{"first_name":"Benjamin","last_name":"Delarue","full_name":"Delarue, Benjamin","id":"70575"},{"full_name":"Dyatlov, Semyon","last_name":"Dyatlov","first_name":"Semyon"},{"first_name":"Gabriel P.","full_name":"Paternain, Gabriel P.","last_name":"Paternain"}],"date_created":"2022-06-20T08:24:17Z","year":"2022","intvolume":"       229","page":"303-394","citation":{"ama":"Cekić M, Delarue B, Dyatlov S, Paternain GP. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. <i>Inventiones mathematicae</i>. 2022;229(1):303-394. doi:<a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>","chicago":"Cekić, Mihajlo, Benjamin Delarue, Semyon Dyatlov, and Gabriel P. Paternain. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” <i>Inventiones Mathematicae</i> 229, no. 1 (2022): 303–94. <a href=\"https://doi.org/10.1007/s00222-022-01108-x\">https://doi.org/10.1007/s00222-022-01108-x</a>.","ieee":"M. Cekić, B. Delarue, S. Dyatlov, and G. P. Paternain, “The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds,” <i>Inventiones mathematicae</i>, vol. 229, no. 1, pp. 303–394, 2022, doi: <a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>.","bibtex":"@article{Cekić_Delarue_Dyatlov_Paternain_2022, title={The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds}, volume={229}, DOI={<a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>}, number={1}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Cekić, Mihajlo and Delarue, Benjamin and Dyatlov, Semyon and Paternain, Gabriel P.}, year={2022}, pages={303–394} }","mla":"Cekić, Mihajlo, et al. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” <i>Inventiones Mathematicae</i>, vol. 229, no. 1, Springer Science and Business Media LLC, 2022, pp. 303–94, doi:<a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>.","short":"M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae 229 (2022) 303–394.","apa":"Cekić, M., Delarue, B., Dyatlov, S., &#38; Paternain, G. P. (2022). The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. <i>Inventiones Mathematicae</i>, <i>229</i>(1), 303–394. <a href=\"https://doi.org/10.1007/s00222-022-01108-x\">https://doi.org/10.1007/s00222-022-01108-x</a>"},"publication_identifier":{"issn":["0020-9910","1432-1297"]},"publication_status":"published","issue":"1"},{"type":"journal_article","publication":"p-Adic Numbers, Ultrametric Analysis, and Applications","status":"public","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"34792","language":[{"iso":"eng"}],"article_type":"original","keyword":["20Exx","22Exx","32Cxx"],"issue":"2","quality_controlled":"1","publication_identifier":{"issn":["2070-0466"]},"citation":{"ieee":"H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive characteristic,” <i>p-Adic Numbers, Ultrametric Analysis, and Applications</i>, vol. 14, no. 2, pp. 138–144, 2022, doi: <a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>.","chicago":"Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i> 14, no. 2 (2022): 138–144. <a href=\"https://doi.org/10.1134/S2070046622020042\">https://doi.org/10.1134/S2070046622020042</a>.","ama":"Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic. <i>p-Adic Numbers, Ultrametric Analysis, and Applications</i>. 2022;14(2):138–144. doi:<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>","short":"H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022) 138–144.","mla":"Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i>, vol. 14, no. 2, 2022, pp. 138–144, doi:<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>.","bibtex":"@article{Glöckner_2022, title={Non-Lie subgroups in Lie groups over local fields of positive characteristic}, volume={14}, DOI={<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>}, number={2}, journal={p-Adic Numbers, Ultrametric Analysis, and Applications}, author={Glöckner, Helge}, year={2022}, pages={138–144} }","apa":"Glöckner, H. (2022). Non-Lie subgroups in Lie groups over local fields of positive characteristic. <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i>, <i>14</i>(2), 138–144. <a href=\"https://doi.org/10.1134/S2070046622020042\">https://doi.org/10.1134/S2070046622020042</a>"},"page":"138–144","intvolume":"        14","year":"2022","author":[{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"}],"date_created":"2022-12-21T19:27:51Z","volume":14,"date_updated":"2022-12-21T19:30:25Z","doi":"10.1134/S2070046622020042","title":"Non-Lie subgroups in Lie groups over local fields of positive characteristic"},{"citation":{"ama":"Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. <i>Annals of Global Analysis and Geometry</i>. 2022;61(2):359–398. doi:<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>","chicago":"Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” <i>Annals of Global Analysis and Geometry</i> 61, no. 2 (2022): 359–398. <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">https://doi.org/10.1007/s10455-021-09816-y</a>.","ieee":"H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” <i>Annals of Global Analysis and Geometry</i>, vol. 61, no. 2, pp. 359–398, 2022, doi: <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>.","apa":"Glöckner, H., &#38; Schmeding, A. (2022). Manifolds of mappings on Cartesian products. <i>Annals of Global Analysis and Geometry</i>, <i>61</i>(2), 359–398. <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">https://doi.org/10.1007/s10455-021-09816-y</a>","bibtex":"@article{Glöckner_Schmeding_2022, title={Manifolds of mappings on Cartesian products}, volume={61}, DOI={<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>}, number={2}, journal={Annals of Global Analysis and Geometry}, author={Glöckner, Helge and Schmeding, Alexander}, year={2022}, pages={359–398} }","mla":"Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” <i>Annals of Global Analysis and Geometry</i>, vol. 61, no. 2, 2022, pp. 359–398, doi:<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>.","short":"H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022) 359–398."},"intvolume":"        61","page":"359–398","year":"2022","issue":"2","publication_identifier":{"issn":["0232-704X"]},"quality_controlled":"1","doi":"10.1007/s10455-021-09816-y","title":"Manifolds of mappings on Cartesian products","date_created":"2022-12-21T19:24:48Z","author":[{"first_name":"Helge","last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge"},{"first_name":"Alexander","full_name":"Schmeding, Alexander","last_name":"Schmeding"}],"volume":61,"date_updated":"2022-12-21T19:27:09Z","status":"public","type":"journal_article","publication":"Annals of Global Analysis and Geometry","language":[{"iso":"eng"}],"article_type":"original","keyword":["58D15","22E65","26E15","26E20","46E40","46T20","58A05"],"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"34791"},{"year":"2022","intvolume":"        11","citation":{"apa":"Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. <i>Axioms</i>, <i>11</i>(5). <a href=\"https://doi.org/10.3390/axioms11050221\">https://doi.org/10.3390/axioms11050221</a>","mla":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” <i>Axioms</i>, vol. 11, no. 5, 2022, doi:<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>.","short":"H. Glöckner, Axioms 11 (2022).","bibtex":"@article{Glöckner_2022, title={Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces}, volume={11}, DOI={<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>}, number={5}, journal={Axioms}, author={Glöckner, Helge}, year={2022} }","ieee":"H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” <i>Axioms</i>, vol. 11, no. 5, 2022, doi: <a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>.","chicago":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” <i>Axioms</i> 11, no. 5 (2022). <a href=\"https://doi.org/10.3390/axioms11050221\">https://doi.org/10.3390/axioms11050221</a>.","ama":"Glöckner H. Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. <i>Axioms</i>. 2022;11(5). doi:<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>"},"quality_controlled":"1","publication_identifier":{"issn":["2075-1680"]},"issue":"5","title":"Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces","doi":"10.3390/axioms11050221","date_updated":"2022-12-22T07:31:55Z","volume":11,"author":[{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"}],"date_created":"2022-12-21T20:02:29Z","abstract":[{"text":"We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector bundles, to construct new bundles from given ones, such as dual bundles, topological tensor products, infinite direct sums, and completions (under suitable hypotheses); (2) in the theory of locally convex Poisson vector spaces, to prove continuity of the Poisson bracket and continuity of passage from a function to the associated Hamiltonian vector field. Topological properties of topological vector spaces are essential for the studies, which allow the hypocontinuity of bilinear mappings to be exploited. Notably, we encounter kR-spaces and locally convex spaces E such that E&times;E is a kR-space.","lang":"eng"}],"status":"public","publication":"Axioms","type":"journal_article","article_type":"original","language":[{"iso":"eng"}],"_id":"34796","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178"},{"title":"Birkhoff decompositions for loop groups with coefficient algebras","date_updated":"2022-12-22T07:44:08Z","author":[{"full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner","first_name":"Helge"}],"date_created":"2022-12-22T07:42:07Z","year":"2022","citation":{"ama":"Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. <i>arXiv:220611711</i>. Published online 2022.","chicago":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022.","ieee":"H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” <i>arXiv:2206.11711</i>. 2022.","short":"H. Glöckner, ArXiv:2206.11711 (2022).","mla":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022.","bibtex":"@article{Glöckner_2022, title={Birkhoff decompositions for loop groups with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge}, year={2022} }","apa":"Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In <i>arXiv:2206.11711</i>."},"language":[{"iso":"eng"}],"external_id":{"arxiv":["2206.11711"]},"_id":"34804","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","abstract":[{"lang":"eng","text":"Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing suitable commutative topological algebras. We study Birkhoff\r\ndecompositions for the corresponding loop groups. Some results remain valid for\r\nloop groups with valued in complex Banach-Lie groups."}],"status":"public","publication":"arXiv:2206.11711","type":"preprint"},{"citation":{"bibtex":"@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances for manifolds with hyperbolic cusps}, volume={24}, DOI={<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>}, number={3}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau, Yannick and Weich, Tobias}, year={2022}, pages={851–923} }","mla":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” <i>Journal of the European Mathematical Society</i>, vol. 24, no. 3, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 851–923, doi:<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>.","short":"Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923.","apa":"Guedes Bonthonneau, Y., &#38; Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. <i>Journal of the European Mathematical Society</i>, <i>24</i>(3), 851–923. <a href=\"https://doi.org/10.4171/jems/1103\">https://doi.org/10.4171/jems/1103</a>","ama":"Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. <i>Journal of the European Mathematical Society</i>. 2022;24(3):851-923. doi:<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>","ieee":"Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds with hyperbolic cusps,” <i>Journal of the European Mathematical Society</i>, vol. 24, no. 3, pp. 851–923, 2022, doi: <a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>.","chicago":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” <i>Journal of the European Mathematical Society</i> 24, no. 3 (2022): 851–923. <a href=\"https://doi.org/10.4171/jems/1103\">https://doi.org/10.4171/jems/1103</a>."},"page":"851-923","intvolume":"        24","publication_status":"published","publication_identifier":{"issn":["1435-9855"]},"doi":"10.4171/jems/1103","author":[{"first_name":"Yannick","last_name":"Guedes Bonthonneau","full_name":"Guedes Bonthonneau, Yannick"},{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178","full_name":"Weich, Tobias"}],"volume":24,"date_updated":"2023-01-06T08:47:35Z","status":"public","type":"journal_article","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"_id":"35306","year":"2022","issue":"3","title":"Ruelle–Pollicott resonances for manifolds with hyperbolic cusps","date_created":"2023-01-05T16:23:34Z","publisher":"European Mathematical Society - EMS - Publishing House GmbH","publication":"Journal of the European Mathematical Society","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"]},{"language":[{"iso":"eng"}],"keyword":["regularity of Lie groups"],"publication":"Communications in Analysis and Geometry","title":"Regularity of Lie groups","date_created":"2022-12-22T09:19:43Z","publisher":"International Press of Boston","year":"2022","issue":"1","extern":"1","article_type":"original","user_id":"30905","department":[{"_id":"93"}],"_id":"34817","status":"public","type":"journal_article","doi":"10.4310/cag.2022.v30.n1.a2","author":[{"last_name":"Hanusch","id":"30905","full_name":"Hanusch, Maximilian","first_name":"Maximilian"}],"volume":30,"date_updated":"2023-01-09T18:07:30Z","citation":{"chicago":"Hanusch, Maximilian. “Regularity of Lie Groups.” <i>Communications in Analysis and Geometry</i> 30, no. 1 (2022): 53–152. <a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">https://doi.org/10.4310/cag.2022.v30.n1.a2</a>.","ieee":"M. Hanusch, “Regularity of Lie groups,” <i>Communications in Analysis and Geometry</i>, vol. 30, no. 1, pp. 53–152, 2022, doi: <a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">10.4310/cag.2022.v30.n1.a2</a>.","ama":"Hanusch M. Regularity of Lie groups. <i>Communications in Analysis and Geometry</i>. 2022;30(1):53-152. doi:<a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">10.4310/cag.2022.v30.n1.a2</a>","bibtex":"@article{Hanusch_2022, title={Regularity of Lie groups}, volume={30}, DOI={<a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">10.4310/cag.2022.v30.n1.a2</a>}, number={1}, journal={Communications in Analysis and Geometry}, publisher={International Press of Boston}, author={Hanusch, Maximilian}, year={2022}, pages={53–152} }","short":"M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152.","mla":"Hanusch, Maximilian. “Regularity of Lie Groups.” <i>Communications in Analysis and Geometry</i>, vol. 30, no. 1, International Press of Boston, 2022, pp. 53–152, doi:<a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">10.4310/cag.2022.v30.n1.a2</a>.","apa":"Hanusch, M. (2022). Regularity of Lie groups. <i>Communications in Analysis and Geometry</i>, <i>30</i>(1), 53–152. <a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">https://doi.org/10.4310/cag.2022.v30.n1.a2</a>"},"intvolume":"        30","page":"53-152","publication_status":"published","publication_identifier":{"issn":["1019-8385","1944-9992"]}},{"type":"working_paper","status":"public","_id":"34856","user_id":"30905","department":[{"_id":"93"}],"language":[{"iso":"ger"}],"publication_status":"draft","year":"2022","citation":{"ama":"Hanusch M. <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","chicago":"Hanusch, Maximilian. <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d.","ieee":"M. Hanusch, <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","mla":"Hanusch, Maximilian. <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","bibtex":"@book{Hanusch, title={Analysis 1 und 2 Skript/Buch}, publisher={https://maximilianhanusch.wixsite.com/my-site/lehre-teaching}, author={Hanusch, Maximilian} }","short":"M. Hanusch, Analysis 1 und 2 Skript/Buch, https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d.","apa":"Hanusch, M. (n.d.). <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching."},"page":"385","date_updated":"2023-01-09T18:07:00Z","publisher":"https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","date_created":"2022-12-22T17:06:02Z","author":[{"first_name":"Maximilian","full_name":"Hanusch, Maximilian","id":"30905","last_name":"Hanusch"}],"title":"Analysis 1 und 2 Skript/Buch"},{"year":"2022","issue":"24","title":"Semiclassical formulae For Wigner distributions","date_created":"2022-05-04T12:23:11Z","publisher":"IOP Publishing Ltd","abstract":[{"lang":"eng","text":"In this paper we give an overview over some aspects of the modern mathematical theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical systems and their implications in physics. First we recall recent developments in the mathematical theory of resonances, in particular how invariant Ruelle distributions arise as residues of weighted zeta functions. Then we derive a correspondence between weighted and semiclassical zeta functions in the setting of negatively curved surfaces. Combining this with results of Hilgert, Guillarmou and Weich yields a high frequency interpretation of invariant Ruelle distributions as quantum mechanical matrix coefficients in constant negative curvature. We finish by presenting numerical calculations of phase space distributions in the more physical setting of 3-disk scattering systems."}],"publication":"Journal of Physics A: Mathematical and Theoretical","language":[{"iso":"eng"}],"external_id":{"arxiv":["2201.04892"]},"intvolume":"        55","citation":{"ieee":"S. Barkhofen, P. Schütte, and T. Weich, “Semiclassical formulae For Wigner distributions,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55, no. 24, Art. no. 244007, 2022, doi: <a href=\"https://doi.org/10.1088/1751-8121/ac6d2b\">10.1088/1751-8121/ac6d2b</a>.","chicago":"Barkhofen, Sonja, Philipp Schütte, and Tobias Weich. “Semiclassical Formulae For Wigner Distributions.” <i>Journal of Physics A: Mathematical and Theoretical</i> 55, no. 24 (2022). <a href=\"https://doi.org/10.1088/1751-8121/ac6d2b\">https://doi.org/10.1088/1751-8121/ac6d2b</a>.","ama":"Barkhofen S, Schütte P, Weich T. Semiclassical formulae For Wigner distributions. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2022;55(24). doi:<a href=\"https://doi.org/10.1088/1751-8121/ac6d2b\">10.1088/1751-8121/ac6d2b</a>","short":"S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and Theoretical 55 (2022).","mla":"Barkhofen, Sonja, et al. “Semiclassical Formulae For Wigner Distributions.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55, no. 24, 244007, IOP Publishing Ltd, 2022, doi:<a href=\"https://doi.org/10.1088/1751-8121/ac6d2b\">10.1088/1751-8121/ac6d2b</a>.","bibtex":"@article{Barkhofen_Schütte_Weich_2022, title={Semiclassical formulae For Wigner distributions}, volume={55}, DOI={<a href=\"https://doi.org/10.1088/1751-8121/ac6d2b\">10.1088/1751-8121/ac6d2b</a>}, number={24244007}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing Ltd}, author={Barkhofen, Sonja and Schütte, Philipp and Weich, Tobias}, year={2022} }","apa":"Barkhofen, S., Schütte, P., &#38; Weich, T. (2022). 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