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Princeton University Press 2018.” <i>Mathematische Semesterberichte</i>, vol. 66, 2019, pp. 261–262, doi:<a href=\"https://doi.org/10.1007/s00591-019-00251-6\">10.1007/s00591-019-00251-6</a>."},"publication":"Mathematische Semesterberichte","department":[{"_id":"91"}],"type":"review","date_created":"2024-02-20T10:08:33Z","intvolume":"        66","date_updated":"2024-02-20T10:11:40Z","publication_status":"published","author":[{"full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim","id":"220"}],"title":"Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. 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Hilgert, Mathematische Semesterberichte 66 (2019) 127–129.","chicago":"Hilgert, Joachim. “Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017).” <i>Mathematische Semesterberichte</i>, 2019. <a href=\"https://doi.org/10.1007/s00591-018-0226-7\">https://doi.org/10.1007/s00591-018-0226-7</a>.","apa":"Hilgert, J. (2019). Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017). In <i>Mathematische Semesterberichte</i> (Vol. 66, pp. 127–129). <a href=\"https://doi.org/10.1007/s00591-018-0226-7\">https://doi.org/10.1007/s00591-018-0226-7</a>","ieee":"J. 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Springer 2017.” <i>Mathematische Semesterberichte</i>, vol. 66, 2019, pp. 263–264, doi:<a href=\"https://doi.org/10.1007/s00591-019-00247-2\">10.1007/s00591-019-00247-2</a>."},"date_created":"2024-02-20T10:07:28Z","type":"review","department":[{"_id":"91"}],"year":"2019","status":"public","title":"Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017","author":[{"id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert"}],"publication_status":"published","date_updated":"2024-02-20T10:10:20Z","intvolume":"        66","page":"263–264","_id":"51565","language":[{"iso":"ger"}],"user_id":"49063","doi":"10.1007/s00591-019-00247-2","volume":66},{"citation":{"short":"B. Küster, T. Weich, International Mathematics Research Notices 2021 (2019) 8225–8296.","chicago":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i> 2021, no. 11 (2019): 8225–96. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>.","apa":"Küster, B., &#38; Weich, T. (2019). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>, <i>2021</i>(11), 8225–8296. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>","ieee":"B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces,” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, pp. 8225–8296, 2019, doi: <a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","ama":"Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>. 2019;2021(11):8225-8296. doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>","bibtex":"@article{Küster_Weich_2019, title={Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2019}, pages={8225–8296} }","mla":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8225–96, doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>."},"_id":"53416","publisher":"Oxford University Press (OUP)","page":"8225-8296","volume":2021,"user_id":"70575","status":"public","date_created":"2024-04-11T12:33:46Z","department":[{"_id":"548"}],"keyword":["General Mathematics"],"type":"journal_article","publication":"International Mathematics Research Notices","issue":"11","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>For a compact Riemannian locally symmetric space $\\mathcal M$ of rank 1 and an associated vector bundle $\\mathbf V_{\\tau }$ over the unit cosphere bundle $S^{\\ast }\\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\\mathbf V_{\\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\\ast }\\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\\sigma )$ on compatible associated vector bundles $\\mathbf W_{\\sigma }$ over $\\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\\tau$ and $\\sigma$ defining the bundles $\\mathbf V_{\\tau }$ and $\\mathbf W_{\\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\\mathbf W_{\\sigma }$. Our methods of proof are based on representation theory and Lie theory.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1093/imrn/rnz068","author":[{"full_name":"Küster, Benjamin","first_name":"Benjamin","last_name":"Küster"},{"id":"49178","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias","last_name":"Weich"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"title":"Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces","year":"2019","intvolume":"      2021","date_updated":"2024-04-11T12:36:33Z","publication_status":"published"},{"_id":"64769","language":[{"iso":"eng"}],"user_id":"178","author":[{"full_name":"Nikitin, Natalie","first_name":"Natalie","last_name":"Nikitin"}],"status":"public","title":"Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability","year":"2019","date_updated":"2026-02-26T21:22:58Z","date_created":"2026-02-26T21:22:48Z","external_id":{"arxiv":["arXiv:1904.10928"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint","citation":{"mla":"Nikitin, Natalie. <i>Measurable Regularity of Infinite-Dimensional Lie Groups Based on Lusin Measurability</i>. 2019.","ama":"Nikitin N. 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Nikitin, (2019).","chicago":"Nikitin, Natalie. “Measurable Regularity of Infinite-Dimensional Lie Groups Based on Lusin Measurability,” 2019."}},{"doi":"10.1016/j.indag.2019.03.003","language":[{"iso":"eng"}],"date_updated":"2026-02-27T07:09:17Z","intvolume":"        30","article_type":"original","title":"Weighted diffeomorphism groups of Riemannian manifolds","year":"2019","author":[{"first_name":"Boris","last_name":"Walter","full_name":"Walter, Boris"}],"publication_identifier":{"issn":["0019-3577"]},"type":"journal_article","keyword":["58D05","57S05","22E65","58D15","58B10"],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2026-02-26T20:43:34Z","publication":"Indagationes Mathematicae","issue":"4","user_id":"178","volume":30,"page":"669–705","_id":"64756","status":"public","quality_controlled":"1","citation":{"ieee":"B. Walter, “Weighted diffeomorphism groups of Riemannian manifolds,” <i>Indagationes Mathematicae</i>, vol. 30, no. 4, pp. 669–705, 2019, doi: <a href=\"https://doi.org/10.1016/j.indag.2019.03.003\">10.1016/j.indag.2019.03.003</a>.","apa":"Walter, B. (2019). Weighted diffeomorphism groups of Riemannian manifolds. <i>Indagationes Mathematicae</i>, <i>30</i>(4), 669–705. <a href=\"https://doi.org/10.1016/j.indag.2019.03.003\">https://doi.org/10.1016/j.indag.2019.03.003</a>","short":"B. Walter, Indagationes Mathematicae 30 (2019) 669–705.","chicago":"Walter, Boris. “Weighted Diffeomorphism Groups of Riemannian Manifolds.” <i>Indagationes Mathematicae</i> 30, no. 4 (2019): 669–705. <a href=\"https://doi.org/10.1016/j.indag.2019.03.003\">https://doi.org/10.1016/j.indag.2019.03.003</a>.","mla":"Walter, Boris. “Weighted Diffeomorphism Groups of Riemannian Manifolds.” <i>Indagationes Mathematicae</i>, vol. 30, no. 4, 2019, pp. 669–705, doi:<a href=\"https://doi.org/10.1016/j.indag.2019.03.003\">10.1016/j.indag.2019.03.003</a>.","bibtex":"@article{Walter_2019, title={Weighted diffeomorphism groups of Riemannian manifolds}, volume={30}, DOI={<a href=\"https://doi.org/10.1016/j.indag.2019.03.003\">10.1016/j.indag.2019.03.003</a>}, number={4}, journal={Indagationes Mathematicae}, author={Walter, Boris}, year={2019}, pages={669–705} }","ama":"Walter B. Weighted diffeomorphism groups of Riemannian manifolds. <i>Indagationes Mathematicae</i>. 2019;30(4):669–705. doi:<a href=\"https://doi.org/10.1016/j.indag.2019.03.003\">10.1016/j.indag.2019.03.003</a>"}},{"status":"public","user_id":"178","volume":71,"page":"131–152","_id":"64630","quality_controlled":"1","citation":{"apa":"Glöckner, H. (2019). Completeness of infinite-dimensional Lie groups in their left uniformity. <i>Canadian Journal of Mathematics</i>, <i>71</i>(1), 131–152. <a href=\"https://doi.org/10.4153/CJM-2017-048-5\">https://doi.org/10.4153/CJM-2017-048-5</a>","mla":"Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their Left Uniformity.” <i>Canadian Journal of Mathematics</i>, vol. 71, no. 1, 2019, pp. 131–152, doi:<a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>.","ieee":"H. Glöckner, “Completeness of infinite-dimensional Lie groups in their left uniformity,” <i>Canadian Journal of Mathematics</i>, vol. 71, no. 1, pp. 131–152, 2019, doi: <a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>.","ama":"Glöckner H. Completeness of infinite-dimensional Lie groups in their left uniformity. <i>Canadian Journal of Mathematics</i>. 2019;71(1):131–152. doi:<a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>","short":"H. Glöckner, Canadian Journal of Mathematics 71 (2019) 131–152.","chicago":"Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their Left Uniformity.” <i>Canadian Journal of Mathematics</i> 71, no. 1 (2019): 131–152. <a href=\"https://doi.org/10.4153/CJM-2017-048-5\">https://doi.org/10.4153/CJM-2017-048-5</a>.","bibtex":"@article{Glöckner_2019, title={Completeness of infinite-dimensional Lie groups in their left uniformity}, volume={71}, DOI={<a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>}, number={1}, journal={Canadian Journal of Mathematics}, author={Glöckner, Helge}, year={2019}, pages={131–152} }"},"date_updated":"2026-02-27T08:33:56Z","article_type":"original","intvolume":"        71","title":"Completeness of infinite-dimensional Lie groups in their left uniformity","year":"2019","publication_identifier":{"issn":["0008-414X"]},"author":[{"full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge","id":"178"}],"doi":"10.4153/CJM-2017-048-5","language":[{"iso":"eng"}],"publication":"Canadian Journal of Mathematics","issue":"1","keyword":["22E65","22A05","22E67","46A13","46M40","58D05"],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2026-02-26T07:03:36Z"},{"author":[{"id":"23686","orcid":"0000-0001-9963-0800","last_name":"Black","first_name":"Tobias","full_name":"Black, Tobias"}],"publication_identifier":{"issn":["0036-1410","1095-7154"]},"year":"2018","title":"Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion","intvolume":"        50","date_updated":"2022-12-21T10:04:57Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1137/17m1159488","issue":"4","publication":"SIAM Journal on Mathematical Analysis","date_created":"2022-12-21T09:47:01Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"type":"journal_article","status":"public","publisher":"Society for Industrial & Applied Mathematics (SIAM)","_id":"34664","page":"4087-4116","volume":50,"user_id":"23686","citation":{"mla":"Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 4, Society for Industrial &#38; Applied Mathematics (SIAM), 2018, pp. 4087–116, doi:<a href=\"https://doi.org/10.1137/17m1159488\">10.1137/17m1159488</a>.","bibtex":"@article{Black_2018, title={Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion}, volume={50}, DOI={<a href=\"https://doi.org/10.1137/17m1159488\">10.1137/17m1159488</a>}, number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Black, Tobias}, year={2018}, pages={4087–4116} }","ama":"Black T. 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Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones. <i>Studies in Applied Mathematics</i>. 2018;141(4):474-500. doi:<a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>","mla":"Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i>, vol. 141, no. 4, Wiley, 2018, pp. 474–500, doi:<a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>.","short":"M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500.","chicago":"Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i> 141, no. 4 (2018): 474–500. <a href=\"https://doi.org/10.1111/sapm.12217\">https://doi.org/10.1111/sapm.12217</a>.","ieee":"M. Rösler and M. Voit, “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones,” <i>Studies in Applied Mathematics</i>, vol. 141, no. 4, pp. 474–500, 2018, doi: <a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>.","apa":"Rösler, M., &#38; Voit, M. (2018). Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones. <i>Studies in Applied Mathematics</i>, <i>141</i>(4), 474–500. <a href=\"https://doi.org/10.1111/sapm.12217\">https://doi.org/10.1111/sapm.12217</a>"},"status":"public","page":"474-500","publisher":"Wiley","_id":"37661","user_id":"93826","volume":141}]