[{"status":"public","type":"journal_article","article_number":"135","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"23686","_id":"34675","intvolume":"        72","citation":{"ama":"Black T, Wu C. Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. <i>Zeitschrift für angewandte Mathematik und Physik</i>. 2021;72(4). doi:<a href=\"https://doi.org/10.1007/s00033-021-01565-z\">10.1007/s00033-021-01565-z</a>","ieee":"T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” <i>Zeitschrift für angewandte Mathematik und Physik</i>, vol. 72, no. 4, Art. no. 135, 2021, doi: <a href=\"https://doi.org/10.1007/s00033-021-01565-z\">10.1007/s00033-021-01565-z</a>.","chicago":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i> 72, no. 4 (2021). <a href=\"https://doi.org/10.1007/s00033-021-01565-z\">https://doi.org/10.1007/s00033-021-01565-z</a>.","apa":"Black, T., &#38; Wu, C. (2021). Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, <i>72</i>(4), Article 135. <a href=\"https://doi.org/10.1007/s00033-021-01565-z\">https://doi.org/10.1007/s00033-021-01565-z</a>","mla":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, vol. 72, no. 4, 135, Springer Science and Business Media LLC, 2021, doi:<a href=\"https://doi.org/10.1007/s00033-021-01565-z\">10.1007/s00033-021-01565-z</a>.","bibtex":"@article{Black_Wu_2021, title={Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation}, volume={72}, DOI={<a href=\"https://doi.org/10.1007/s00033-021-01565-z\">10.1007/s00033-021-01565-z</a>}, number={4135}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2021} }","short":"T. Black, C. Wu, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021)."},"publication_identifier":{"issn":["0044-2275","1420-9039"]},"publication_status":"published","doi":"10.1007/s00033-021-01565-z","volume":72,"author":[{"first_name":"Tobias","last_name":"Black","orcid":"0000-0001-9963-0800","id":"23686","full_name":"Black, Tobias"},{"first_name":"Chunyan","full_name":"Wu, Chunyan","last_name":"Wu"}],"date_updated":"2023-07-10T11:39:30Z","publication":"Zeitschrift für angewandte Mathematik und Physik","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Physics and Astronomy","General Mathematics"],"year":"2021","issue":"4","title":"Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation","date_created":"2022-12-21T09:48:45Z","publisher":"Springer Science and Business Media LLC"},{"_id":"64765","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"language":[{"iso":"eng"}],"type":"dissertation","status":"public","oa":"1","date_updated":"2026-02-26T21:15:28Z","supervisor":[{"full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner","first_name":"Helge"}],"date_created":"2026-02-26T21:15:13Z","author":[{"first_name":"Natalie","last_name":"Nikitin","full_name":"Nikitin, Natalie"}],"title":"Regularity properties of infinite-dimensional Lie groups and exponential laws","main_file_link":[{"open_access":"1","url":"https://nbn-resolving.org/urn:nbn:de:hbz:466:2-39133"}],"year":"2021","citation":{"chicago":"Nikitin, Natalie. <i>Regularity Properties of Infinite-Dimensional Lie Groups and Exponential Laws</i>, 2021.","ieee":"N. Nikitin, <i>Regularity properties of infinite-dimensional Lie groups and exponential laws</i>. 2021.","ama":"Nikitin N. <i>Regularity Properties of Infinite-Dimensional Lie Groups and Exponential Laws</i>.; 2021.","apa":"Nikitin, N. (2021). <i>Regularity properties of infinite-dimensional Lie groups and exponential laws</i>.","bibtex":"@book{Nikitin_2021, title={Regularity properties of infinite-dimensional Lie groups and exponential laws}, author={Nikitin, Natalie}, year={2021} }","short":"N. Nikitin, Regularity Properties of Infinite-Dimensional Lie Groups and Exponential Laws, 2021.","mla":"Nikitin, Natalie. <i>Regularity Properties of Infinite-Dimensional Lie Groups and Exponential Laws</i>. 2021."}},{"year":"2021","page":"85–103","intvolume":"       781","citation":{"ama":"Glöckner H, Willis GA. Locally pro-p contraction groups are nilpotent. <i>Journal für die reine und angewandte Mathematik</i>. 2021;781:85–103. doi:<a href=\"https://doi.org/10.1515/crelle-2021-0050\">10.1515/crelle-2021-0050</a>","apa":"Glöckner, H., &#38; Willis, G. A. (2021). Locally pro-p contraction groups are nilpotent. <i>Journal Für Die Reine Und Angewandte Mathematik</i>, <i>781</i>, 85–103. <a href=\"https://doi.org/10.1515/crelle-2021-0050\">https://doi.org/10.1515/crelle-2021-0050</a>","bibtex":"@article{Glöckner_Willis_2021, title={Locally pro-p contraction groups are nilpotent}, volume={781}, DOI={<a href=\"https://doi.org/10.1515/crelle-2021-0050\">10.1515/crelle-2021-0050</a>}, journal={Journal für die reine und angewandte Mathematik}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={85–103} }","mla":"Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” <i>Journal Für Die Reine Und Angewandte Mathematik</i>, vol. 781, 2021, pp. 85–103, doi:<a href=\"https://doi.org/10.1515/crelle-2021-0050\">10.1515/crelle-2021-0050</a>.","short":"H. Glöckner, G.A. Willis, Journal Für Die Reine Und Angewandte Mathematik 781 (2021) 85–103.","ieee":"H. Glöckner and G. A. Willis, “Locally pro-p contraction groups are nilpotent,” <i>Journal für die reine und angewandte Mathematik</i>, vol. 781, pp. 85–103, 2021, doi: <a href=\"https://doi.org/10.1515/crelle-2021-0050\">10.1515/crelle-2021-0050</a>.","chicago":"Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” <i>Journal Für Die Reine Und Angewandte Mathematik</i> 781 (2021): 85–103. <a href=\"https://doi.org/10.1515/crelle-2021-0050\">https://doi.org/10.1515/crelle-2021-0050</a>."},"publication_identifier":{"issn":["0075-4102"]},"quality_controlled":"1","title":"Locally pro-p contraction groups are nilpotent","doi":"10.1515/crelle-2021-0050","date_updated":"2026-02-27T08:34:58Z","volume":781,"author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"first_name":"George A.","full_name":"Willis, George A.","last_name":"Willis"}],"date_created":"2022-12-21T19:17:28Z","status":"public","publication":"Journal für die reine und angewandte Mathematik","type":"journal_article","keyword":["22D05","22A05","20E18"],"article_type":"original","language":[{"iso":"eng"}],"_id":"34790","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178"},{"volume":56,"date_created":"2022-12-21T19:13:24Z","author":[{"first_name":"Habib","full_name":"Amiri, Habib","last_name":"Amiri"},{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"},{"first_name":"Alexander","last_name":"Schmeding","full_name":"Schmeding, Alexander"}],"date_updated":"2022-12-21T19:15:59Z","doi":"10.5817/AM2020-5-307","title":"Lie groupoids of mappings taking values in a Lie groupoid","issue":"5","quality_controlled":"1","publication_identifier":{"issn":["0044-8753"]},"page":"307–356","intvolume":"        56","citation":{"apa":"Amiri, H., Glöckner, H., &#38; Schmeding, A. (2020). Lie groupoids of mappings taking values in a Lie groupoid. <i>Archivum Mathematicum</i>, <i>56</i>(5), 307–356. <a href=\"https://doi.org/10.5817/AM2020-5-307\">https://doi.org/10.5817/AM2020-5-307</a>","mla":"Amiri, Habib, et al. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” <i>Archivum Mathematicum</i>, vol. 56, no. 5, 2020, pp. 307–356, doi:<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>.","bibtex":"@article{Amiri_Glöckner_Schmeding_2020, title={Lie groupoids of mappings taking values in a Lie groupoid}, volume={56}, DOI={<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>}, number={5}, journal={Archivum Mathematicum}, author={Amiri, Habib and Glöckner, Helge and Schmeding, Alexander}, year={2020}, pages={307–356} }","short":"H. Amiri, H. Glöckner, A. Schmeding, Archivum Mathematicum 56 (2020) 307–356.","ieee":"H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” <i>Archivum Mathematicum</i>, vol. 56, no. 5, pp. 307–356, 2020, doi: <a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>.","chicago":"Amiri, Habib, Helge Glöckner, and Alexander Schmeding. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” <i>Archivum Mathematicum</i> 56, no. 5 (2020): 307–356. <a href=\"https://doi.org/10.5817/AM2020-5-307\">https://doi.org/10.5817/AM2020-5-307</a>.","ama":"Amiri H, Glöckner H, Schmeding A. Lie groupoids of mappings taking values in a Lie groupoid. <i>Archivum Mathematicum</i>. 2020;56(5):307–356. doi:<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>"},"year":"2020","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"34789","language":[{"iso":"eng"}],"keyword":["22A22","22E65","22E67","46T10","47H30","58D15","58H05"],"article_type":"original","publication":"Archivum Mathematicum","type":"journal_article","status":"public"},{"volume":55,"date_created":"2022-12-21T19:06:45Z","author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"},{"last_name":"Masbough","full_name":"Masbough, Niku","first_name":"Niku"}],"date_updated":"2022-12-21T20:06:44Z","title":"Products of regular locally compact spaces are k_R-spaces","quality_controlled":"1","publication_identifier":{"issn":["0146-4124"]},"page":"35–38","intvolume":"        55","citation":{"chicago":"Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces Are K_R-Spaces.” <i>Topology Proceedings</i> 55 (2020): 35–38.","ieee":"H. Glöckner and N. Masbough, “Products of regular locally compact spaces are k_R-spaces,” <i>Topology Proceedings</i>, vol. 55, pp. 35–38, 2020.","ama":"Glöckner H, Masbough N. Products of regular locally compact spaces are k_R-spaces. <i>Topology Proceedings</i>. 2020;55:35–38.","apa":"Glöckner, H., &#38; Masbough, N. (2020). Products of regular locally compact spaces are k_R-spaces. <i>Topology Proceedings</i>, <i>55</i>, 35–38.","mla":"Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces Are K_R-Spaces.” <i>Topology Proceedings</i>, vol. 55, 2020, pp. 35–38.","short":"H. Glöckner, N. Masbough, Topology Proceedings 55 (2020) 35–38.","bibtex":"@article{Glöckner_Masbough_2020, title={Products of regular locally compact spaces are k_R-spaces}, volume={55}, journal={Topology Proceedings}, author={Glöckner, Helge and Masbough, Niku}, year={2020}, pages={35–38} }"},"year":"2020","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"34787","language":[{"iso":"eng"}],"keyword":["54B10","54D45","54D50"],"article_type":"original","publication":"Topology Proceedings","type":"journal_article","status":"public"},{"abstract":[{"lang":"eng","text":"For suitable finite-dimensional smooth manifolds M (possibly with various\r\nkinds of boundary or corners), locally convex topological vector spaces F and\r\nnon-negative integers k, we construct continuous linear operators S_n from the\r\nspace of F-valued k times continuously differentiable functions on M to the\r\ncorresponding space of smooth functions such that S_n(f) converges to f in\r\nC^k(M,F) as n tends to infinity, uniformly for f in compact subsets of\r\nC^k(M,F). We also study the existence of continuous linear right inverses for\r\nrestriction maps from C^k(M,F) to C^k(L,F) if L is a closed subset of M,\r\nendowed with a C^k-manifold structure turning the inclusion map from L to M\r\ninto a C^k-map. Moreover, we construct continuous linear right inverses for\r\nrestriction operators between spaces of sections in vector bundles in many\r\nsituations, and smooth local right inverses for restriction operators between\r\nmanifolds of mappings. We also obtain smoothing results for sections in fibre\r\nbundles."}],"status":"public","type":"preprint","publication":"arXiv:2006.00254","language":[{"iso":"eng"}],"external_id":{"arxiv":["2006.00254"]},"_id":"34808","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"year":"2020","citation":{"ieee":"H. Glöckner, “Smoothing operators for vector-valued functions and extension operators,” <i>arXiv:2006.00254</i>. 2020.","chicago":"Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” <i>ArXiv:2006.00254</i>, 2020.","ama":"Glöckner H. Smoothing operators for vector-valued functions and extension operators. <i>arXiv:200600254</i>. Published online 2020.","mla":"Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” <i>ArXiv:2006.00254</i>, 2020.","bibtex":"@article{Glöckner_2020, title={Smoothing operators for vector-valued functions and extension operators}, journal={arXiv:2006.00254}, author={Glöckner, Helge}, year={2020} }","short":"H. Glöckner, ArXiv:2006.00254 (2020).","apa":"Glöckner, H. (2020). Smoothing operators for vector-valued functions and extension operators. In <i>arXiv:2006.00254</i>."},"title":"Smoothing operators for vector-valued functions and extension operators","date_updated":"2022-12-22T07:52:42Z","date_created":"2022-12-22T07:51:53Z","author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}]},{"date_created":"2022-05-17T12:06:06Z","publisher":"Springer Science and Business Media LLC","title":"Pollicott-Ruelle Resonant States and Betti Numbers","issue":"2","year":"2020","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"publication":"Communications in Mathematical Physics","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\ne 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>≠</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.\r\n</jats:p>","lang":"eng"}],"volume":378,"author":[{"first_name":"Benjamin","last_name":"Küster","full_name":"Küster, Benjamin"},{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"}],"date_updated":"2022-05-19T10:13:48Z","doi":"10.1007/s00220-020-03793-2","publication_identifier":{"issn":["0010-3616","1432-0916"]},"publication_status":"published","intvolume":"       378","page":"917-941","citation":{"chicago":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i> 378, no. 2 (2020): 917–41. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>.","ieee":"B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, pp. 917–941, 2020, doi: <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","ama":"Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>. 2020;378(2):917-941. doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>","mla":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, Springer Science and Business Media LLC, 2020, pp. 917–41, doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","short":"B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.","bibtex":"@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and Betti Numbers}, volume={378}, DOI={<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias}, year={2020}, pages={917–941} }","apa":"Küster, B., &#38; Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>, <i>378</i>(2), 917–941. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>"},"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"user_id":"49178","_id":"31264","type":"journal_article","status":"public"},{"intvolume":"        31","page":"152-176","citation":{"apa":"Hanusch, M. (2020). The regularity problem for Lie groups with asymptotic estimate Lie algebras. <i>Indagationes Mathematicae</i>, <i>31</i>(1), 152–176. <a href=\"https://doi.org/10.1016/j.indag.2019.12.001\">https://doi.org/10.1016/j.indag.2019.12.001</a>","mla":"Hanusch, Maximilian. “The Regularity Problem for Lie Groups with Asymptotic Estimate Lie Algebras.” <i>Indagationes Mathematicae</i>, vol. 31, no. 1, Elsevier BV, 2020, pp. 152–76, doi:<a href=\"https://doi.org/10.1016/j.indag.2019.12.001\">10.1016/j.indag.2019.12.001</a>.","short":"M. Hanusch, Indagationes Mathematicae 31 (2020) 152–176.","bibtex":"@article{Hanusch_2020, title={The regularity problem for Lie groups with asymptotic estimate Lie algebras}, volume={31}, DOI={<a href=\"https://doi.org/10.1016/j.indag.2019.12.001\">10.1016/j.indag.2019.12.001</a>}, number={1}, journal={Indagationes Mathematicae}, publisher={Elsevier BV}, author={Hanusch, Maximilian}, year={2020}, pages={152–176} }","chicago":"Hanusch, Maximilian. “The Regularity Problem for Lie Groups with Asymptotic Estimate Lie Algebras.” <i>Indagationes Mathematicae</i> 31, no. 1 (2020): 152–76. <a href=\"https://doi.org/10.1016/j.indag.2019.12.001\">https://doi.org/10.1016/j.indag.2019.12.001</a>.","ieee":"M. Hanusch, “The regularity problem for Lie groups with asymptotic estimate Lie algebras,” <i>Indagationes Mathematicae</i>, vol. 31, no. 1, pp. 152–176, 2020, doi: <a href=\"https://doi.org/10.1016/j.indag.2019.12.001\">10.1016/j.indag.2019.12.001</a>.","ama":"Hanusch M. The regularity problem for Lie groups with asymptotic estimate Lie algebras. <i>Indagationes Mathematicae</i>. 2020;31(1):152-176. doi:<a href=\"https://doi.org/10.1016/j.indag.2019.12.001\">10.1016/j.indag.2019.12.001</a>"},"publication_identifier":{"issn":["0019-3577"]},"publication_status":"published","doi":"10.1016/j.indag.2019.12.001","volume":31,"author":[{"full_name":"Hanusch, Maximilian","id":"30905","last_name":"Hanusch","first_name":"Maximilian"}],"date_updated":"2023-01-09T18:07:34Z","status":"public","type":"journal_article","extern":"1","article_type":"original","department":[{"_id":"93"}],"user_id":"30905","_id":"34828","year":"2020","issue":"1","title":"The regularity problem for Lie groups with asymptotic estimate Lie algebras","date_created":"2022-12-22T09:37:04Z","publisher":"Elsevier BV","publication":"Indagationes Mathematicae","language":[{"iso":"eng"}],"keyword":["regularity of Lie groups"]},{"keyword":["Lie theory","strong Trotter property"],"language":[{"iso":"eng"}],"publication":"Journal of Lie Theory","publisher":"Heldermann Verlag","date_created":"2022-12-22T09:41:22Z","title":"The Strong Trotter Property for Locally μ-convex Lie Groups","issue":"1","year":"2020","_id":"34830","user_id":"30905","department":[{"_id":"93"}],"article_type":"original","extern":"1","type":"journal_article","status":"public","date_updated":"2023-01-09T18:07:37Z","author":[{"first_name":"Maximilian","last_name":"Hanusch","full_name":"Hanusch, Maximilian","id":"30905"}],"volume":30,"publication_status":"published","citation":{"chicago":"Hanusch, Maximilian. “The Strong Trotter Property for Locally μ-Convex Lie Groups.” <i>Journal of Lie Theory</i> 30, no. 1 (2020): 025–032.","ieee":"M. Hanusch, “The Strong Trotter Property for Locally μ-convex Lie Groups,” <i>Journal of Lie Theory</i>, vol. 30, no. 1, pp. 025–032, 2020.","ama":"Hanusch M. The Strong Trotter Property for Locally μ-convex Lie Groups. <i>Journal of Lie Theory</i>. 2020;30(1):025-032.","mla":"Hanusch, Maximilian. “The Strong Trotter Property for Locally μ-Convex Lie Groups.” <i>Journal of Lie Theory</i>, vol. 30, no. 1, Heldermann Verlag, 2020, pp. 025–32.","short":"M. Hanusch, Journal of Lie Theory 30 (2020) 025–032.","bibtex":"@article{Hanusch_2020, title={The Strong Trotter Property for Locally μ-convex Lie Groups}, volume={30}, number={1}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Hanusch, Maximilian}, year={2020}, pages={025–032} }","apa":"Hanusch, M. (2020). The Strong Trotter Property for Locally μ-convex Lie Groups. <i>Journal of Lie Theory</i>, <i>30</i>(1), 025–032."},"intvolume":"        30","page":"025-032"},{"date_updated":"2024-02-19T06:39:48Z","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"},{"first_name":"H.","full_name":"Barnum, H.","last_name":"Barnum"}],"date_created":"2024-02-19T06:37:21Z","volume":30,"title":"Spectral Properties of Convex Bodies","publication_status":"published","year":"2020","citation":{"mla":"Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J. of Lie Theory</i>, vol. 30, 2020, pp. 315–44.","short":"J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.","bibtex":"@article{Hilgert_Barnum_2020, title={Spectral Properties of Convex Bodies}, volume={30}, journal={J. of Lie Theory}, author={Hilgert, Joachim and Barnum, H.}, year={2020}, pages={315–344} }","apa":"Hilgert, J., &#38; Barnum, H. (2020). Spectral Properties of Convex Bodies. <i>J. of Lie Theory</i>, <i>30</i>, 315–344.","ama":"Hilgert J, Barnum H. Spectral Properties of Convex Bodies. <i>J of Lie Theory</i>. 2020;30:315-344.","chicago":"Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J. of Lie Theory</i> 30 (2020): 315–44.","ieee":"J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” <i>J. of Lie Theory</i>, vol. 30, pp. 315–344, 2020."},"intvolume":"        30","page":"315-344","_id":"51386","user_id":"49063","department":[{"_id":"91"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"J. of Lie Theory","status":"public"},{"title":"Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019","doi":"10.1007/s00591-020-00282-4","date_updated":"2024-02-20T10:03:50Z","volume":67,"date_created":"2024-02-20T10:01:02Z","author":[{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"year":"2020","intvolume":"        67","page":"301–305","citation":{"apa":"Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 301–305). <a href=\"https://doi.org/10.1007/s00591-020-00282-4\">https://doi.org/10.1007/s00591-020-00282-4</a>","mla":"Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk: Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum 2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 301–305, doi:<a href=\"https://doi.org/10.1007/s00591-020-00282-4\">10.1007/s00591-020-00282-4</a>.","bibtex":"@article{Hilgert_2020, title={Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-020-00282-4\">10.1007/s00591-020-00282-4</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={301–305} }","short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.","chicago":"Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk: Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum 2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-020-00282-4\">https://doi.org/10.1007/s00591-020-00282-4</a>.","ieee":"J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 301–305, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-020-00282-4\">10.1007/s00591-020-00282-4</a>.","ama":"Hilgert J. Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. <i>Mathematische Semesterberichte</i>. 2020;67:301–305. doi:<a href=\"https://doi.org/10.1007/s00591-020-00282-4\">10.1007/s00591-020-00282-4</a>"},"publication_status":"published","language":[{"iso":"eng"}],"_id":"51559","department":[{"_id":"91"}],"user_id":"49063","status":"public","publication":"Mathematische Semesterberichte","type":"review"},{"_id":"51557","user_id":"49063","department":[{"_id":"91"}],"language":[{"iso":"eng"}],"type":"review","publication":"Mathematische Semesterberichte","status":"public","date_updated":"2024-02-20T10:03:46Z","date_created":"2024-02-20T09:53:55Z","author":[{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"}],"volume":67,"title":"Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020","doi":"10.1007/s00591-020-00283-3","publication_status":"published","year":"2020","citation":{"short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309.","mla":"Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 307–309, doi:<a href=\"https://doi.org/10.1007/s00591-020-00283-3\">10.1007/s00591-020-00283-3</a>.","bibtex":"@article{Hilgert_2020, title={Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-020-00283-3\">10.1007/s00591-020-00283-3</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={307–309} }","apa":"Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 307–309). <a href=\"https://doi.org/10.1007/s00591-020-00283-3\">https://doi.org/10.1007/s00591-020-00283-3</a>","ieee":"J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 307–309, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-020-00283-3\">10.1007/s00591-020-00283-3</a>.","chicago":"Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-020-00283-3\">https://doi.org/10.1007/s00591-020-00283-3</a>.","ama":"Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. <i>Mathematische Semesterberichte</i>. 2020;67:307–309. doi:<a href=\"https://doi.org/10.1007/s00591-020-00283-3\">10.1007/s00591-020-00283-3</a>"},"intvolume":"        67","page":"307–309"},{"language":[{"iso":"eng"}],"user_id":"49063","department":[{"_id":"91"}],"_id":"51561","status":"public","type":"review","publication":"Mathematische Semesterberichte","doi":"10.1007/s00591-020-00272-6","title":"Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019","date_created":"2024-02-20T10:03:14Z","author":[{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"volume":67,"date_updated":"2024-02-20T10:04:02Z","citation":{"chicago":"Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-020-00272-6\">https://doi.org/10.1007/s00591-020-00272-6</a>.","ieee":"J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 123–124, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-020-00272-6\">10.1007/s00591-020-00272-6</a>.","ama":"Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2020;67:123–124. doi:<a href=\"https://doi.org/10.1007/s00591-020-00272-6\">10.1007/s00591-020-00272-6</a>","mla":"Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 123–124, doi:<a href=\"https://doi.org/10.1007/s00591-020-00272-6\">10.1007/s00591-020-00272-6</a>.","bibtex":"@article{Hilgert_2020, title={Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-020-00272-6\">10.1007/s00591-020-00272-6</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={123–124} }","short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124.","apa":"Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 123–124). <a href=\"https://doi.org/10.1007/s00591-020-00272-6\">https://doi.org/10.1007/s00591-020-00272-6</a>"},"intvolume":"        67","page":"123–124","year":"2020","publication_status":"published"},{"type":"review","publication":"Mathematische Semesterberichte","status":"public","_id":"51560","user_id":"49063","department":[{"_id":"91"}],"language":[{"iso":"eng"}],"publication_status":"published","year":"2020","citation":{"ama":"Hilgert J. David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2020;67:297–299. doi:<a href=\"https://doi.org/10.1007/s00591-020-00280-6\">10.1007/s00591-020-00280-6</a>","chicago":"Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-020-00280-6\">https://doi.org/10.1007/s00591-020-00280-6</a>.","ieee":"J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 297–299, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-020-00280-6\">10.1007/s00591-020-00280-6</a>.","apa":"Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 297–299). <a href=\"https://doi.org/10.1007/s00591-020-00280-6\">https://doi.org/10.1007/s00591-020-00280-6</a>","mla":"Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 297–299, doi:<a href=\"https://doi.org/10.1007/s00591-020-00280-6\">10.1007/s00591-020-00280-6</a>.","bibtex":"@article{Hilgert_2020, title={David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-020-00280-6\">10.1007/s00591-020-00280-6</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={297–299} }","short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 297–299."},"intvolume":"        67","page":"297–299","date_updated":"2024-02-20T10:03:56Z","date_created":"2024-02-20T10:02:16Z","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"}],"volume":67,"title":"David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019","doi":"10.1007/s00591-020-00280-6"},{"citation":{"ama":"Hilgert J. Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). <i>Mathematische Semesterberichte</i>. 2020;67:97–98. doi:<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>","chicago":"Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">https://doi.org/10.1007/s00591-019-00254-3</a>.","ieee":"J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 97–98, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>.","apa":"Hilgert, J. (2020). Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 97–98). <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">https://doi.org/10.1007/s00591-019-00254-3</a>","short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 97–98.","mla":"Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 97–98, doi:<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>.","bibtex":"@article{Hilgert_2020, title={Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={97–98} }"},"intvolume":"        67","page":"97–98","year":"2020","publication_status":"published","doi":"10.1007/s00591-019-00254-3","title":"Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"}],"date_created":"2024-02-20T10:06:36Z","volume":67,"date_updated":"2024-02-20T10:10:24Z","status":"public","type":"review","publication":"Mathematische Semesterberichte","language":[{"iso":"ger"}],"user_id":"49063","department":[{"_id":"91"}],"_id":"51564"},{"language":[{"iso":"ger"}],"department":[{"_id":"91"}],"user_id":"49063","_id":"51563","status":"public","publication":"Mathematische Semesterberichte","type":"review","doi":"10.1007/s00591-019-00254-3","title":"Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019)","volume":67,"date_created":"2024-02-20T10:05:17Z","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","last_name":"Hilgert"}],"date_updated":"2024-02-20T10:10:28Z","page":"109–111","intvolume":"        67","citation":{"short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 109–111.","mla":"Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019).” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 109–111, doi:<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>.","bibtex":"@article{Hilgert_2020, title={Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019)}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={109–111} }","apa":"Hilgert, J. (2020). Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 109–111). <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">https://doi.org/10.1007/s00591-019-00254-3</a>","ama":"Hilgert J. Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). <i>Mathematische Semesterberichte</i>. 2020;67:109–111. doi:<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>","chicago":"Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019).” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">https://doi.org/10.1007/s00591-019-00254-3</a>.","ieee":"J. Hilgert, “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019),” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 109–111, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>."},"year":"2020","publication_status":"published"},{"issue":"2","year":"2020","publisher":"Springer Science and Business Media LLC","date_created":"2024-04-11T12:33:03Z","title":"Pollicott-Ruelle Resonant States and Betti Numbers","publication":"Communications in Mathematical Physics","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\ne 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>≠</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.\r\n</jats:p>"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0010-3616","1432-0916"]},"publication_status":"published","intvolume":"       378","page":"917-941","citation":{"apa":"Küster, B., &#38; Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>, <i>378</i>(2), 917–941. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>","mla":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, Springer Science and Business Media LLC, 2020, pp. 917–41, doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","bibtex":"@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and Betti Numbers}, volume={378}, DOI={<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias}, year={2020}, pages={917–941} }","short":"B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.","ama":"Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>. 2020;378(2):917-941. doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>","chicago":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i> 378, no. 2 (2020): 917–41. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>.","ieee":"B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, pp. 917–941, 2020, doi: <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>."},"date_updated":"2024-04-11T12:36:53Z","volume":378,"author":[{"first_name":"Benjamin","last_name":"Küster","full_name":"Küster, Benjamin"},{"first_name":"Tobias","full_name":"Weich, Tobias","id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919"}],"doi":"10.1007/s00220-020-03793-2","type":"journal_article","status":"public","_id":"53415","department":[{"_id":"548"}],"user_id":"70575"},{"user_id":"220","department":[{"_id":"91"}],"_id":"51488","language":[{"iso":"ger"}],"type":"book","status":"public","date_created":"2024-02-19T10:15:44Z","author":[{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"}],"date_updated":"2024-08-08T07:51:40Z","publisher":"Springer Spektrum","main_file_link":[{"url":"https://link.springer.com/book/10.1007/978-3-658-31833-8"}],"title":"Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen","publication_status":"published","citation":{"bibtex":"@book{Hilgert_2020, title={Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen}, publisher={Springer Spektrum}, author={Hilgert, Joachim}, year={2020} }","mla":"Hilgert, Joachim. <i>Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen</i>. Springer Spektrum, 2020.","short":"J. Hilgert, Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen, Springer Spektrum, 2020.","apa":"Hilgert, J. (2020). <i>Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen</i>. Springer Spektrum.","chicago":"Hilgert, Joachim. <i>Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen</i>. Springer Spektrum, 2020.","ieee":"J. Hilgert, <i>Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen</i>. Springer Spektrum, 2020.","ama":"Hilgert J. <i>Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen</i>. Springer Spektrum; 2020."},"year":"2020"},{"date_updated":"2023-01-20T13:12:29Z","volume":33,"date_created":"2023-01-18T12:46:13Z","author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"title":"Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system","year":"2020","page":"5007-5048","intvolume":"        33","citation":{"ieee":"M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system,” <i>Nonlinearity</i>, vol. 33, pp. 5007–5048, 2020.","chicago":"Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” <i>Nonlinearity</i> 33 (2020): 5007–48.","ama":"Winkler M. Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. <i>Nonlinearity</i>. 2020;33:5007-5048.","apa":"Winkler, M. (2020). Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. <i>Nonlinearity</i>, <i>33</i>, 5007–5048.","short":"M. Winkler, Nonlinearity 33 (2020) 5007–5048.","mla":"Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” <i>Nonlinearity</i>, vol. 33, 2020, pp. 5007–48.","bibtex":"@article{Winkler_2020, title={Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={5007–5048} }"},"_id":"37373","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"15645","language":[{"iso":"eng"}],"publication":"Nonlinearity","type":"journal_article","status":"public"},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"15645","_id":"37380","language":[{"iso":"eng"}],"article_number":"10","publication":"Zeitschrift für angewandte Mathematik und Physik","type":"journal_article","status":"public","volume":71,"author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"date_created":"2023-01-18T12:55:58Z","date_updated":"2023-01-20T13:13:00Z","title":"Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.","intvolume":"        71","citation":{"ieee":"M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.,” <i>Zeitschrift für angewandte Mathematik und Physik</i>, vol. 71, Art. no. 10, 2020.","chicago":"Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i> 71 (2020).","ama":"Winkler M. Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. <i>Zeitschrift für angewandte Mathematik und Physik</i>. 2020;71.","apa":"Winkler, M. (2020). Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, <i>71</i>, Article 10.","short":"M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).","bibtex":"@article{Winkler_2020, title={Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.}, volume={71}, number={10}, journal={Zeitschrift für angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2020} }","mla":"Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, vol. 71, 10, 2020."},"year":"2020"}]