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Eyni, New Examples and Constructions in Infinite-Dimensional Lie Theory, 2016.","chicago":"Eyni, Jan Milan. <i>New Examples and Constructions in Infinite-Dimensional Lie Theory</i>, 2016.","mla":"Eyni, Jan Milan. <i>New Examples and Constructions in Infinite-Dimensional Lie Theory</i>. 2016.","bibtex":"@book{Eyni_2016, title={New examples and constructions in infinite-dimensional Lie theory}, author={Eyni, Jan Milan}, year={2016} }","ama":"Eyni JM. <i>New Examples and Constructions in Infinite-Dimensional Lie Theory</i>.; 2016."}},{"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint","date_created":"2026-02-26T21:19:47Z","external_id":{"arxiv":["arXiv:1608.06095"]},"citation":{"bibtex":"@article{Nikitin_2016, title={Exponential laws for spaces of differentiable functions on topological groups}, author={Nikitin, Natalie}, year={2016} }","ama":"Nikitin N. Exponential laws for spaces of differentiable functions on topological groups. Published online 2016.","mla":"Nikitin, Natalie. <i>Exponential Laws for Spaces of Differentiable Functions on Topological Groups</i>. 2016.","chicago":"Nikitin, Natalie. “Exponential Laws for Spaces of Differentiable Functions on Topological Groups,” 2016.","short":"N. Nikitin, (2016).","ieee":"N. Nikitin, “Exponential laws for spaces of differentiable functions on topological groups.” 2016.","apa":"Nikitin, N. (2016). <i>Exponential laws for spaces of differentiable functions on topological groups</i>."},"user_id":"178","_id":"64767","language":[{"iso":"eng"}],"date_updated":"2026-02-26T21:19:55Z","author":[{"full_name":"Nikitin, Natalie","last_name":"Nikitin","first_name":"Natalie"}],"year":"2016","status":"public","title":"Exponential laws for spaces of differentiable functions on topological groups"},{"author":[{"id":"178","full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner"}],"publication_identifier":{"issn":["0092-7872"]},"title":"The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup","year":"2016","article_type":"original","intvolume":"        44","date_updated":"2026-02-27T08:31:32Z","language":[{"iso":"eng"}],"doi":"10.1080/00927872.2015.1065859","issue":"7","publication":"Communications in Algebra","date_created":"2026-02-26T07:39:04Z","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"keyword":["22E50","20D35","20E06"],"type":"journal_article","status":"public","_id":"64641","page":"2981–2988","volume":44,"user_id":"178","citation":{"chicago":"Glöckner, Helge. “The Kernel of the Adjoint Representation of a P-Adic Lie Group Need Not Have an Abelian Open Normal Subgroup.” <i>Communications in Algebra</i> 44, no. 7 (2016): 2981–2988. <a href=\"https://doi.org/10.1080/00927872.2015.1065859\">https://doi.org/10.1080/00927872.2015.1065859</a>.","short":"H. Glöckner, Communications in Algebra 44 (2016) 2981–2988.","ieee":"H. Glöckner, “The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup,” <i>Communications in Algebra</i>, vol. 44, no. 7, pp. 2981–2988, 2016, doi: <a href=\"https://doi.org/10.1080/00927872.2015.1065859\">10.1080/00927872.2015.1065859</a>.","apa":"Glöckner, H. (2016). The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup. <i>Communications in Algebra</i>, <i>44</i>(7), 2981–2988. <a href=\"https://doi.org/10.1080/00927872.2015.1065859\">https://doi.org/10.1080/00927872.2015.1065859</a>","bibtex":"@article{Glöckner_2016, title={The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup}, volume={44}, DOI={<a href=\"https://doi.org/10.1080/00927872.2015.1065859\">10.1080/00927872.2015.1065859</a>}, number={7}, journal={Communications in Algebra}, author={Glöckner, Helge}, year={2016}, pages={2981–2988} }","ama":"Glöckner H. The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup. <i>Communications in Algebra</i>. 2016;44(7):2981–2988. doi:<a href=\"https://doi.org/10.1080/00927872.2015.1065859\">10.1080/00927872.2015.1065859</a>","mla":"Glöckner, Helge. “The Kernel of the Adjoint Representation of a P-Adic Lie Group Need Not Have an Abelian Open Normal Subgroup.” <i>Communications in Algebra</i>, vol. 44, no. 7, 2016, pp. 2981–2988, doi:<a href=\"https://doi.org/10.1080/00927872.2015.1065859\">10.1080/00927872.2015.1065859</a>."},"quality_controlled":"1"},{"external_id":{"arxiv":["1302.3087"]},"citation":{"mla":"ARNOLDI, JEAN FRANCOIS, et al. “Asymptotic Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.” <i>Ergodic Theory and Dynamical Systems</i>, vol. 37, no. 1, Cambridge University Press (CUP), 2015, pp. 1–58, doi:<a href=\"https://doi.org/10.1017/etds.2015.34\">10.1017/etds.2015.34</a>.","bibtex":"@article{ARNOLDI_FAURE_Weich_2015, title={Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps}, volume={37}, DOI={<a href=\"https://doi.org/10.1017/etds.2015.34\">10.1017/etds.2015.34</a>}, number={1}, journal={Ergodic Theory and Dynamical Systems}, publisher={Cambridge University Press (CUP)}, author={ARNOLDI, JEAN FRANCOIS and FAURE, FRÉDÉRIC and Weich, Tobias}, year={2015}, pages={1–58} }","ama":"ARNOLDI JF, FAURE F, Weich T. Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. <i>Ergodic Theory and Dynamical Systems</i>. 2015;37(1):1-58. doi:<a href=\"https://doi.org/10.1017/etds.2015.34\">10.1017/etds.2015.34</a>","ieee":"J. F. ARNOLDI, F. FAURE, and T. Weich, “Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps,” <i>Ergodic Theory and Dynamical Systems</i>, vol. 37, no. 1, pp. 1–58, 2015, doi: <a href=\"https://doi.org/10.1017/etds.2015.34\">10.1017/etds.2015.34</a>.","apa":"ARNOLDI, J. F., FAURE, F., &#38; Weich, T. (2015). Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. <i>Ergodic Theory and Dynamical Systems</i>, <i>37</i>(1), 1–58. <a href=\"https://doi.org/10.1017/etds.2015.34\">https://doi.org/10.1017/etds.2015.34</a>","chicago":"ARNOLDI, JEAN FRANCOIS, FRÉDÉRIC FAURE, and Tobias Weich. “Asymptotic Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.” <i>Ergodic Theory and Dynamical Systems</i> 37, no. 1 (2015): 1–58. <a href=\"https://doi.org/10.1017/etds.2015.34\">https://doi.org/10.1017/etds.2015.34</a>.","short":"J.F. ARNOLDI, F. FAURE, T. Weich, Ergodic Theory and Dynamical Systems 37 (2015) 1–58."},"_id":"31291","publisher":"Cambridge University Press (CUP)","page":"1-58","volume":37,"user_id":"49178","status":"public","date_created":"2022-05-17T12:55:26Z","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"publication":"Ergodic Theory and Dynamical Systems","issue":"1","abstract":[{"lang":"eng","text":"<jats:p>We consider a simple model of an open partially expanding map. Its trapped set <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0143385715000346_inline1\" /><jats:tex-math>${\\mathcal{K}}$</jats:tex-math></jats:alternatives></jats:inline-formula> in phase space is a fractal set. We first show that there is a well-defined discrete spectrum of Ruelle resonances which describes the asymptotic of correlation functions for large time and which is parametrized by the Fourier component <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0143385715000346_inline2\" /><jats:tex-math>$\\unicode[STIX]{x1D708}$</jats:tex-math></jats:alternatives></jats:inline-formula> in the neutral direction of the dynamics. We introduce a specific hypothesis on the dynamics that we call ‘minimal captivity’. This hypothesis is stable under perturbations and means that the dynamics is univalued in a neighborhood of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0143385715000346_inline3\" /><jats:tex-math>${\\mathcal{K}}$</jats:tex-math></jats:alternatives></jats:inline-formula>. Under this hypothesis we show the existence of an asymptotic spectral gap and a fractal Weyl law for the upper bound of density of Ruelle resonances in the semiclassical limit <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0143385715000346_inline4\" /><jats:tex-math>$\\unicode[STIX]{x1D708}\\rightarrow \\infty$</jats:tex-math></jats:alternatives></jats:inline-formula>. Some numerical computations with the truncated Gauss map and Bowen–Series maps illustrate these results.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1017/etds.2015.34","author":[{"full_name":"ARNOLDI, JEAN FRANCOIS","last_name":"ARNOLDI","first_name":"JEAN FRANCOIS"},{"full_name":"FAURE, FRÉDÉRIC","last_name":"FAURE","first_name":"FRÉDÉRIC"},{"id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias","full_name":"Weich, Tobias"}],"publication_identifier":{"issn":["0143-3857","1469-4417"]},"year":"2015","title":"Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps","intvolume":"        37","publication_status":"published","date_updated":"2022-05-19T10:15:54Z"},{"external_id":{"arxiv":["1403.7419 "]},"citation":{"short":"T. Weich, Communications in Mathematical Physics 337 (2015) 727–765.","chicago":"Weich, Tobias. “Resonance Chains and Geometric Limits on Schottky Surfaces.” <i>Communications in Mathematical Physics</i> 337, no. 2 (2015): 727–65. <a href=\"https://doi.org/10.1007/s00220-015-2359-z\">https://doi.org/10.1007/s00220-015-2359-z</a>.","ieee":"T. Weich, “Resonance Chains and Geometric Limits on Schottky Surfaces,” <i>Communications in Mathematical Physics</i>, vol. 337, no. 2, pp. 727–765, 2015, doi: <a href=\"https://doi.org/10.1007/s00220-015-2359-z\">10.1007/s00220-015-2359-z</a>.","apa":"Weich, T. (2015). Resonance Chains and Geometric Limits on Schottky Surfaces. <i>Communications in Mathematical Physics</i>, <i>337</i>(2), 727–765. <a href=\"https://doi.org/10.1007/s00220-015-2359-z\">https://doi.org/10.1007/s00220-015-2359-z</a>","bibtex":"@article{Weich_2015, title={Resonance Chains and Geometric Limits on Schottky Surfaces}, volume={337}, DOI={<a href=\"https://doi.org/10.1007/s00220-015-2359-z\">10.1007/s00220-015-2359-z</a>}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Weich, Tobias}, year={2015}, pages={727–765} }","ama":"Weich T. Resonance Chains and Geometric Limits on Schottky Surfaces. <i>Communications in Mathematical Physics</i>. 2015;337(2):727-765. doi:<a href=\"https://doi.org/10.1007/s00220-015-2359-z\">10.1007/s00220-015-2359-z</a>","mla":"Weich, Tobias. “Resonance Chains and Geometric Limits on Schottky Surfaces.” <i>Communications in Mathematical Physics</i>, vol. 337, no. 2, Springer Science and Business Media LLC, 2015, pp. 727–65, doi:<a href=\"https://doi.org/10.1007/s00220-015-2359-z\">10.1007/s00220-015-2359-z</a>."},"user_id":"49178","volume":337,"page":"727-765","_id":"31293","publisher":"Springer Science and Business Media LLC","status":"public","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"date_created":"2022-05-17T12:56:21Z","issue":"2","publication":"Communications in Mathematical Physics","doi":"10.1007/s00220-015-2359-z","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2022-05-19T10:16:21Z","intvolume":"       337","title":"Resonance Chains and Geometric Limits on Schottky Surfaces","year":"2015","publication_identifier":{"issn":["0010-3616","1432-0916"]},"author":[{"id":"49178","orcid":"0000-0002-9648-6919","first_name":"Tobias","last_name":"Weich","full_name":"Weich, Tobias"}]},{"citation":{"bibtex":"@inproceedings{Hilgert_Hoffmann_Panse_2015, place={Münster}, title={Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten}, booktitle={Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik.}, publisher={WTM-Verlag}, author={Hilgert, Joachim and Hoffmann, Max and Panse, Anja}, editor={Paravicini, Walther and Schnieder, Jörn}, year={2015}, pages={23–26} }","ama":"Hilgert J, Hoffmann M, Panse A. Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten. In: Paravicini W, Schnieder J, eds. <i>Tagungsband Zum Hansekolloquium Zur Hochschuldidaktik Der Mathematik.</i> WTM-Verlag; 2015:23–26.","mla":"Hilgert, Joachim, et al. “Kann Professorale Lehre Tutoriell Sein? Ein Modellversuch Zur Einführung in Mathematisches Denken Und Arbeiten.” <i>Tagungsband Zum Hansekolloquium Zur Hochschuldidaktik Der Mathematik.</i>, edited by Walther Paravicini and Jörn Schnieder, WTM-Verlag, 2015, pp. 23–26.","chicago":"Hilgert, Joachim, Max Hoffmann, and Anja Panse. “Kann Professorale Lehre Tutoriell Sein? Ein Modellversuch Zur Einführung in Mathematisches Denken Und Arbeiten.” In <i>Tagungsband Zum Hansekolloquium Zur Hochschuldidaktik Der Mathematik.</i>, edited by Walther Paravicini and Jörn Schnieder, 23–26. Münster: WTM-Verlag, 2015.","short":"J. Hilgert, M. Hoffmann, A. Panse, in: W. Paravicini, J. Schnieder (Eds.), Tagungsband Zum Hansekolloquium Zur Hochschuldidaktik Der Mathematik., WTM-Verlag, Münster, 2015, pp. 23–26.","ieee":"J. Hilgert, M. Hoffmann, and A. Panse, “Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten,” in <i>Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik.</i>, 2015, pp. 23–26.","apa":"Hilgert, J., Hoffmann, M., &#38; Panse, A. (2015). Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten. In W. Paravicini &#38; J. Schnieder (Eds.), <i>Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik.</i> (pp. 23–26). WTM-Verlag."},"publication":"Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik.","department":[{"_id":"91"},{"_id":"97"}],"type":"conference","date_created":"2022-05-22T14:22:12Z","place":"Münster","date_updated":"2024-02-19T06:20:12Z","author":[{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"},{"full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123","last_name":"Hoffmann","first_name":"Max","id":"32202"},{"last_name":"Panse","first_name":"Anja","full_name":"Panse, Anja"}],"status":"public","year":"2015","title":"Kann professorale Lehre tutoriell sein? 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