[{"language":[{"iso":"eng"}],"_id":"34832","doi":"10.1007/s10455-023-09888-y","user_id":"30905","volume":63,"year":"2023","title":"The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups","status":"public","author":[{"first_name":"Maximilian","last_name":"Hanusch","full_name":"Hanusch, Maximilian","id":"30905"}],"date_updated":"2023-04-05T18:18:24Z","publication_status":"published","intvolume":"        63","date_created":"2022-12-22T09:45:34Z","type":"journal_article","keyword":["Lax equation","generalized Baker-Campbell-Dynkin-Hausdorff formula","regularity of Lie groups"],"department":[{"_id":"93"}],"publication":"Annals of Global Analysis and Geometry","issue":"21","citation":{"chicago":"Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups.” <i>Annals of Global Analysis and Geometry</i> 63, no. 21 (2023). <a href=\"https://doi.org/10.1007/s10455-023-09888-y\">https://doi.org/10.1007/s10455-023-09888-y</a>.","short":"M. Hanusch, Annals of Global Analysis and Geometry 63 (2023).","apa":"Hanusch, M. (2023). The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups. <i>Annals of Global Analysis and Geometry</i>, <i>63</i>(21). <a href=\"https://doi.org/10.1007/s10455-023-09888-y\">https://doi.org/10.1007/s10455-023-09888-y</a>","ieee":"M. Hanusch, “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups,” <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 21, 2023, doi: <a href=\"https://doi.org/10.1007/s10455-023-09888-y\">10.1007/s10455-023-09888-y</a>.","ama":"Hanusch M. The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups. <i>Annals of Global Analysis and Geometry</i>. 2023;63(21). doi:<a href=\"https://doi.org/10.1007/s10455-023-09888-y\">10.1007/s10455-023-09888-y</a>","bibtex":"@article{Hanusch_2023, title={The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups}, volume={63}, DOI={<a href=\"https://doi.org/10.1007/s10455-023-09888-y\">10.1007/s10455-023-09888-y</a>}, number={21}, journal={Annals of Global Analysis and Geometry}, author={Hanusch, Maximilian}, year={2023} }","mla":"Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups.” <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 21, 2023, doi:<a href=\"https://doi.org/10.1007/s10455-023-09888-y\">10.1007/s10455-023-09888-y</a>."},"project":[{"name":"RegLie: Regularität von Lie-Gruppen und Lie's Dritter Satz (RegLie)","_id":"161"}]},{"department":[{"_id":"93"}],"keyword":["Lie group actions and analytic 1-submanifolds"],"type":"journal_article","date_created":"2022-12-22T09:46:36Z","citation":{"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>.","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>","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>.","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>.","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} }","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>"},"publication":"Indagationes Mathematicae.","issue":"4","volume":34,"doi":"10.1016/j.indag.2023.02.003","user_id":"30905","language":[{"iso":"eng"}],"_id":"34833","page":"752-811","intvolume":"        34","date_updated":"2023-05-25T07:32:38Z","publication_status":"published","author":[{"full_name":"Hanusch, Maximilian","first_name":"Maximilian","last_name":"Hanusch","id":"30905"}],"year":"2023","title":"Decompositions of Analytic 1-Manifolds","status":"public"},{"publisher":"Springer Science and Business Media LLC","_id":"63635","page":"2877-2940","volume":25,"user_id":"99427","status":"public","external_id":{"arxiv":["2211.14046"]},"oa":"1","citation":{"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} }","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>","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.","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>.","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>"},"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1"}],"doi":"10.1007/s00023-023-01369-z","author":[{"id":"99427","first_name":"Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin"},{"full_name":"Matte, Oliver","last_name":"Matte","first_name":"Oliver"}],"publication_identifier":{"issn":["1424-0637","1424-0661"]},"title":"Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions","year":"2023","intvolume":"        25","article_type":"original","date_updated":"2026-01-16T09:05:26Z","publication_status":"published","date_created":"2026-01-16T08:39:40Z","department":[{"_id":"799"}],"type":"journal_article","publication":"Annales Henri Poincaré","issue":"6","extern":"1"},{"language":[{"iso":"eng"}],"article_number":"127558","main_file_link":[{"open_access":"1"}],"doi":"10.1016/j.jmaa.2023.127558","author":[{"full_name":"Hinrichs, Benjamin","first_name":"Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","id":"99427"},{"full_name":"Janssen, Daan W.","first_name":"Daan W.","last_name":"Janssen"},{"full_name":"Ziebell, Jobst","last_name":"Ziebell","first_name":"Jobst"}],"publication_identifier":{"issn":["0022-247X"]},"year":"2023","title":"Super-Gaussian decay of exponentials: A sufficient condition","intvolume":"       528","publication_status":"published","date_updated":"2026-01-16T09:04:39Z","date_created":"2023-07-20T05:08:49Z","department":[{"_id":"799"}],"type":"journal_article","keyword":["Applied Mathematics","Analysis"],"publication":"Journal of Mathematical Analysis and Applications","issue":"1","_id":"46100","publisher":"Elsevier BV","volume":528,"user_id":"99427","status":"public","external_id":{"arxiv":["2205.09189"]},"oa":"1","citation":{"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} }","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>","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>.","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>","chicago":"Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” <i>Journal of Mathematical Analysis and Applications</i> 528, no. 1 (2023). <a href=\"https://doi.org/10.1016/j.jmaa.2023.127558\">https://doi.org/10.1016/j.jmaa.2023.127558</a>.","short":"B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023)."}},{"status":"public","_id":"31190","publisher":"MSP","page":"2241–2265","volume":16,"user_id":"49178","citation":{"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} }","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>","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>.","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>.","short":"J. Hilgert, T. Weich, L.L. Wolf, Analysis &#38; PDE 16 (2023) 2241–2265.","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>.","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>"},"external_id":{"arxiv":["2103.05667"]},"author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert","id":"220"},{"orcid":"0000-0002-9648-6919","first_name":"Tobias","last_name":"Weich","full_name":"Weich, Tobias","id":"49178"},{"id":"45027","first_name":"Lasse Lennart","last_name":"Wolf","orcid":"0000-0001-8893-2045","full_name":"Wolf, Lasse Lennart"}],"title":"Higher rank quantum-classical correspondence","year":"2023","intvolume":"        16","date_updated":"2026-02-18T10:39:36Z","language":[{"iso":"eng"}],"doi":"https://doi.org/10.2140/apde.2023.16.2241","issue":"10","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"}],"date_created":"2022-05-11T10:41:35Z","department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"type":"journal_article"},{"external_id":{"arxiv":["2112.05791"]},"date_created":"2022-05-04T12:27:46Z","type":"journal_article","department":[{"_id":"10"},{"_id":"548"},{"_id":"623"},{"_id":"15"}],"publication":"Communications in Mathematical Physics","citation":{"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>","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>.","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>.","short":"P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678.","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>","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>."},"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"}],"page":"655-678","_id":"31059","language":[{"iso":"eng"}],"doi":"https://doi.org/10.1007/s00220-022-04538-z","user_id":"49178","volume":398,"year":"2023","title":"Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems","status":"public","author":[{"first_name":"Philipp","last_name":"Schütte","full_name":"Schütte, Philipp","id":"50168"},{"id":"49178","orcid":"0000-0002-9648-6919","last_name":"Weich","first_name":"Tobias","full_name":"Weich, Tobias"},{"id":"48188","first_name":"Sonja","last_name":"Barkhofen","full_name":"Barkhofen, Sonja"}],"date_updated":"2026-02-18T10:41:07Z","intvolume":"       398"},{"publication":"J. de l'École polytechnique — Mathématiques","citation":{"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.","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.","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} }","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.","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.","short":"J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403."},"date_created":"2024-02-19T06:34:11Z","type":"journal_article","department":[{"_id":"91"}],"year":"2023","status":"public","title":"Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters","author":[{"first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220"},{"full_name":"Arends, C.","first_name":"C.","last_name":"Arends"}],"date_updated":"2026-03-31T08:26:09Z","publication_status":"published","intvolume":"        10","page":"335-403","language":[{"iso":"eng"}],"_id":"51383","user_id":"220","volume":10},{"date_created":"2024-02-19T06:35:08Z","department":[{"_id":"91"}],"type":"journal_article","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.","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.","short":"J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 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.","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.","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."},"publication":"J. Diff. Equations","_id":"51384","language":[{"iso":"eng"}],"page":"186-232","volume":343,"user_id":"220","author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert","id":"220"},{"first_name":"H.","last_name":"Glöckner","full_name":"Glöckner, H."}],"year":"2023","status":"public","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","intvolume":"       343","publication_status":"published","date_updated":"2026-03-31T08:25:53Z"},{"department":[{"_id":"555"}],"type":"journal_article","keyword":["Analysis"],"date_created":"2024-04-17T13:17:37Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>This note is concerned with two families of operators related to the fractional Laplacian, the first arising from the Caffarelli-Silvestre extension problem and the second from the fractional heat equation. They both include the Poisson semigroup. We show that on a complete, connected, and non-compact Riemannian manifold of non-negative Ricci curvature, in both cases, the solution with <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> initial data behaves asymptotically as the mass times the fundamental solution. Similar long-time convergence results remain valid on more general manifolds satisfying the Li-Yau two-sided estimate of the heat kernel. The situation changes drastically on hyperbolic space, and more generally on rank one non-compact symmetric spaces: we show that for the Poisson semigroup, the convergence to the Poisson kernel fails -but remains true under the additional assumption of radial initial data.</jats:p>"}],"citation":{"mla":"Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds.” <i>Potential Analysis</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>.","bibtex":"@article{Papageorgiou_2023, title={Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds}, DOI={<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>}, journal={Potential Analysis}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }","ama":"Papageorgiou E. Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds. <i>Potential Analysis</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>","ieee":"E. Papageorgiou, “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds,” <i>Potential Analysis</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>.","apa":"Papageorgiou, E. (2023). Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds. <i>Potential Analysis</i>. <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">https://doi.org/10.1007/s11118-023-10109-1</a>","short":"E. Papageorgiou, Potential Analysis (2023).","chicago":"Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds.” <i>Potential Analysis</i>, 2023. <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">https://doi.org/10.1007/s11118-023-10109-1</a>."},"publication":"Potential Analysis","user_id":"100325","doi":"10.1007/s11118-023-10109-1","_id":"53540","publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-07-03T12:37:31Z","publication_identifier":{"issn":["0926-2601","1572-929X"]},"author":[{"id":"100325","full_name":"Papageorgiou, Efthymia","first_name":"Efthymia","last_name":"Papageorgiou"}],"title":"Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds","year":"2023","status":"public"},{"publication_status":"published","date_updated":"2026-07-03T12:36:17Z","year":"2023","title":"Asymptotics for the infinite Brownian loop on noncompact symmetric spaces","status":"public","publication_identifier":{"issn":["2296-9020","2296-9039"]},"author":[{"full_name":"Papageorgiou, Efthymia","first_name":"Efthymia","last_name":"Papageorgiou","id":"100325"}],"user_id":"100325","doi":"10.1007/s41808-023-00250-8","_id":"53539","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length <jats:italic>T</jats:italic> around a fixed origin when <jats:inline-formula><jats:alternatives><jats:tex-math>$$T \\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>T</mml:mi>\r\n                  <mml:mo>→</mml:mo>\r\n                  <mml:mo>+</mml:mo>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>. The aim of this note is to study its long-time asymptotics on Riemannian symmetric spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic> of noncompact type and of general rank. This amounts to the behavior of solutions to the heat equation subject to the Doob transform induced by the ground spherical function. Unlike the standard Brownian motion, we observe in this case phenomena which are similar to the Euclidean setting, namely <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> asymptotic convergence without requiring bi-<jats:italic>K</jats:italic>-invariance for initial data, and strong <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^{\\infty }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> convergence.</jats:p>","lang":"eng"}],"publication":"Journal of Elliptic and Parabolic Equations","citation":{"ama":"Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>","bibtex":"@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian loop on noncompact symmetric spaces}, DOI={<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }","mla":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>.","short":"E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).","chicago":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, 2023. <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">https://doi.org/10.1007/s41808-023-00250-8</a>.","apa":"Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">https://doi.org/10.1007/s41808-023-00250-8</a>","ieee":"E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact symmetric spaces,” <i>Journal of Elliptic and Parabolic Equations</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>."},"keyword":["Applied Mathematics","Numerical Analysis","Analysis"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2024-04-17T13:16:39Z"},{"date_created":"2022-06-20T08:24:17Z","department":[{"_id":"548"}],"type":"journal_article","keyword":["General Mathematics"],"publication":"Inventiones mathematicae","issue":"1","abstract":[{"lang":"eng","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>"}],"language":[{"iso":"eng"}],"doi":"10.1007/s00222-022-01108-x","author":[{"last_name":"Cekić","first_name":"Mihajlo","full_name":"Cekić, Mihajlo"},{"full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin","id":"70575"},{"full_name":"Dyatlov, Semyon","last_name":"Dyatlov","first_name":"Semyon"},{"last_name":"Paternain","first_name":"Gabriel P.","full_name":"Paternain, Gabriel P."}],"publication_identifier":{"issn":["0020-9910","1432-1297"]},"year":"2022","title":"The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds","intvolume":"       229","date_updated":"2022-06-21T11:55:15Z","publication_status":"published","citation":{"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>.","short":"M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae 229 (2022) 303–394.","ieee":"M. Cekić, B. Delarue, S. Dyatlov, and G. P. Paternain, “The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds,” <i>Inventiones mathematicae</i>, vol. 229, no. 1, pp. 303–394, 2022, doi: <a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>.","apa":"Cekić, M., Delarue, B., Dyatlov, S., &#38; Paternain, G. P. (2022). The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. <i>Inventiones Mathematicae</i>, <i>229</i>(1), 303–394. <a href=\"https://doi.org/10.1007/s00222-022-01108-x\">https://doi.org/10.1007/s00222-022-01108-x</a>","bibtex":"@article{Cekić_Delarue_Dyatlov_Paternain_2022, title={The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds}, volume={229}, DOI={<a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>}, number={1}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Cekić, Mihajlo and Delarue, Benjamin and Dyatlov, Semyon and Paternain, Gabriel P.}, year={2022}, pages={303–394} }","ama":"Cekić M, Delarue B, Dyatlov S, Paternain GP. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. <i>Inventiones mathematicae</i>. 2022;229(1):303-394. doi:<a href=\"https://doi.org/10.1007/s00222-022-01108-x\">10.1007/s00222-022-01108-x</a>","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>."},"publisher":"Springer Science and Business Media LLC","_id":"31982","page":"303-394","volume":229,"user_id":"70575","status":"public"},{"date_created":"2022-12-21T19:27:51Z","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"keyword":["20Exx","22Exx","32Cxx"],"type":"journal_article","issue":"2","publication":"p-Adic Numbers, Ultrametric Analysis, and Applications","language":[{"iso":"eng"}],"doi":"10.1134/S2070046622020042","publication_identifier":{"issn":["2070-0466"]},"author":[{"last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge","id":"178"}],"year":"2022","title":"Non-Lie subgroups in Lie groups over local fields of positive characteristic","article_type":"original","intvolume":"        14","date_updated":"2022-12-21T19:30:25Z","citation":{"short":"H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022) 138–144.","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>.","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>.","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>","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} }","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>","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>."},"quality_controlled":"1","_id":"34792","page":"138–144","volume":14,"user_id":"178","status":"public"},{"quality_controlled":"1","citation":{"short":"H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022) 359–398.","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} }","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>","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>."},"status":"public","user_id":"178","volume":61,"page":"359–398","_id":"34791","publication":"Annals of Global Analysis and Geometry","issue":"2","type":"journal_article","keyword":["58D15","22E65","26E15","26E20","46E40","46T20","58A05"],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2022-12-21T19:24:48Z","date_updated":"2022-12-21T19:27:09Z","article_type":"original","intvolume":"        61","title":"Manifolds of mappings on Cartesian products","year":"2022","publication_identifier":{"issn":["0232-704X"]},"author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"last_name":"Schmeding","first_name":"Alexander","full_name":"Schmeding, Alexander"}],"doi":"10.1007/s10455-021-09816-y","language":[{"iso":"eng"}]},{"doi":"10.3390/axioms11050221","language":[{"iso":"eng"}],"date_updated":"2022-12-22T07:31:55Z","intvolume":"        11","article_type":"original","year":"2022","title":"Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces","publication_identifier":{"issn":["2075-1680"]},"author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"}],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"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"}],"issue":"5","publication":"Axioms","user_id":"178","volume":11,"_id":"34796","status":"public","quality_controlled":"1","citation":{"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>.","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>","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>.","short":"H. Glöckner, Axioms 11 (2022).","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>.","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} }","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>"}},{"author":[{"last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge","id":"178"}],"year":"2022","status":"public","title":"Birkhoff decompositions for loop groups with coefficient algebras","date_updated":"2022-12-22T07:44:08Z","_id":"34804","language":[{"iso":"eng"}],"user_id":"178","citation":{"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} }","ama":"Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. <i>arXiv:220611711</i>. Published online 2022.","ieee":"H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” <i>arXiv:2206.11711</i>. 2022.","apa":"Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In <i>arXiv:2206.11711</i>.","short":"H. Glöckner, ArXiv:2206.11711 (2022).","chicago":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022."},"publication":"arXiv:2206.11711","abstract":[{"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.","lang":"eng"}],"date_created":"2022-12-22T07:42:07Z","external_id":{"arxiv":["2206.11711"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint"},{"user_id":"49178","volume":24,"page":"851-923","_id":"35306","publisher":"European Mathematical Society - EMS - Publishing House GmbH","status":"public","citation":{"chicago":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” <i>Journal of the European Mathematical Society</i> 24, no. 3 (2022): 851–923. <a href=\"https://doi.org/10.4171/jems/1103\">https://doi.org/10.4171/jems/1103</a>.","short":"Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923.","ieee":"Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds with hyperbolic cusps,” <i>Journal of the European Mathematical Society</i>, vol. 24, no. 3, pp. 851–923, 2022, doi: <a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>.","apa":"Guedes Bonthonneau, Y., &#38; Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. <i>Journal of the European Mathematical Society</i>, <i>24</i>(3), 851–923. <a href=\"https://doi.org/10.4171/jems/1103\">https://doi.org/10.4171/jems/1103</a>","bibtex":"@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances for manifolds with hyperbolic cusps}, volume={24}, DOI={<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>}, number={3}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau, Yannick and Weich, Tobias}, year={2022}, pages={851–923} }","ama":"Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. <i>Journal of the European Mathematical Society</i>. 2022;24(3):851-923. doi:<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>","mla":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” <i>Journal of the European Mathematical Society</i>, vol. 24, no. 3, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 851–923, doi:<a href=\"https://doi.org/10.4171/jems/1103\">10.4171/jems/1103</a>."},"doi":"10.4171/jems/1103","language":[{"iso":"eng"}],"date_updated":"2023-01-06T08:47:35Z","publication_status":"published","intvolume":"        24","title":"Ruelle–Pollicott resonances for manifolds with hyperbolic cusps","year":"2022","publication_identifier":{"issn":["1435-9855"]},"author":[{"first_name":"Yannick","last_name":"Guedes Bonthonneau","full_name":"Guedes Bonthonneau, Yannick"},{"id":"49178","last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"}],"type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"date_created":"2023-01-05T16:23:34Z","publication":"Journal of the European Mathematical Society","issue":"3"},{"doi":"10.4310/cag.2022.v30.n1.a2","language":[{"iso":"eng"}],"article_type":"original","intvolume":"        30","publication_status":"published","date_updated":"2023-01-09T18:07:30Z","publication_identifier":{"issn":["1019-8385","1944-9992"]},"author":[{"full_name":"Hanusch, Maximilian","first_name":"Maximilian","last_name":"Hanusch","id":"30905"}],"year":"2022","title":"Regularity of Lie groups","department":[{"_id":"93"}],"keyword":["regularity of Lie groups"],"type":"journal_article","date_created":"2022-12-22T09:19:43Z","extern":"1","publication":"Communications in Analysis and Geometry","issue":"1","volume":30,"user_id":"30905","publisher":"International Press of Boston","_id":"34817","page":"53-152","status":"public","citation":{"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>.","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} }","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>","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>.","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>","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>.","short":"M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152."}},{"user_id":"30905","page":"385","_id":"34856","language":[{"iso":"ger"}],"publisher":"https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","date_updated":"2023-01-09T18:07:00Z","publication_status":"draft","year":"2022","title":"Analysis 1 und 2 Skript/Buch","status":"public","author":[{"full_name":"Hanusch, Maximilian","first_name":"Maximilian","last_name":"Hanusch","id":"30905"}],"type":"working_paper","department":[{"_id":"93"}],"date_created":"2022-12-22T17:06:02Z","citation":{"chicago":"Hanusch, Maximilian. <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d.","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.","ieee":"M. Hanusch, <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","ama":"Hanusch M. <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} }","mla":"Hanusch, Maximilian. <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching."}},{"date_updated":"2024-02-06T20:40:45Z","article_type":"review","intvolume":"        55","title":"Semiclassical formulae For Wigner distributions","year":"2022","author":[{"first_name":"Sonja","last_name":"Barkhofen","full_name":"Barkhofen, Sonja","id":"48188"},{"first_name":"Philipp","last_name":"Schütte","full_name":"Schütte, Philipp","id":"50168"},{"id":"49178","first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias"}],"doi":"10.1088/1751-8121/ac6d2b","article_number":"244007","language":[{"iso":"eng"}],"abstract":[{"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.","lang":"eng"}],"issue":"24","publication":"Journal of Physics A: Mathematical and Theoretical","type":"journal_article","department":[{"_id":"623"},{"_id":"548"},{"_id":"10"}],"date_created":"2022-05-04T12:23:11Z","status":"public","user_id":"49178","volume":55,"_id":"31057","publisher":"IOP Publishing Ltd","citation":{"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>.","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>","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). Semiclassical formulae For Wigner distributions. <i>Journal of Physics A: Mathematical and Theoretical</i>, <i>55</i>(24), Article 244007. <a href=\"https://doi.org/10.1088/1751-8121/ac6d2b\">https://doi.org/10.1088/1751-8121/ac6d2b</a>","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>.","short":"S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and Theoretical 55 (2022).","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>."},"external_id":{"arxiv":["2201.04892"]}},{"publication_identifier":{"issn":["1664-039X"]},"author":[{"last_name":"Bux","first_name":"Kai-Uwe","full_name":"Bux, Kai-Uwe"},{"first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220"},{"last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"}],"year":"2022","title":"Poisson transforms for trees of bounded degree","intvolume":"        12","publication_status":"published","date_updated":"2024-02-19T06:28:12Z","language":[{"iso":"eng"}],"doi":"10.4171/jst/414","issue":"2","publication":"Journal of Spectral Theory","date_created":"2023-01-06T08:49:06Z","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"type":"journal_article","keyword":["Geometry and Topology","Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","_id":"35322","publisher":"European Mathematical Society - EMS - Publishing House GmbH","page":"659-681","volume":12,"user_id":"49063","citation":{"ama":"Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree. <i>Journal of Spectral Theory</i>. 2022;12(2):659-681. doi:<a href=\"https://doi.org/10.4171/jst/414\">10.4171/jst/414</a>","bibtex":"@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of bounded degree}, volume={12}, DOI={<a href=\"https://doi.org/10.4171/jst/414\">10.4171/jst/414</a>}, number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2022}, pages={659–681} }","mla":"Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” <i>Journal of Spectral Theory</i>, vol. 12, no. 2, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 659–81, doi:<a href=\"https://doi.org/10.4171/jst/414\">10.4171/jst/414</a>.","short":"K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.","chicago":"Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for Trees of Bounded Degree.” <i>Journal of Spectral Theory</i> 12, no. 2 (2022): 659–81. <a href=\"https://doi.org/10.4171/jst/414\">https://doi.org/10.4171/jst/414</a>.","apa":"Bux, K.-U., Hilgert, J., &#38; Weich, T. (2022). Poisson transforms for trees of bounded degree. <i>Journal of Spectral Theory</i>, <i>12</i>(2), 659–681. <a href=\"https://doi.org/10.4171/jst/414\">https://doi.org/10.4171/jst/414</a>","ieee":"K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” <i>Journal of Spectral Theory</i>, vol. 12, no. 2, pp. 659–681, 2022, doi: <a href=\"https://doi.org/10.4171/jst/414\">10.4171/jst/414</a>."}}]