[{"date_updated":"2022-05-19T10:14:36Z","volume":356,"author":[{"first_name":"Frédéric","last_name":"Faure","full_name":"Faure, Frédéric"},{"full_name":"Weich, Tobias","id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias"}],"doi":"10.1007/s00220-017-3000-0","publication_identifier":{"issn":["0010-3616","1432-0916"]},"publication_status":"published","intvolume":"       356","page":"755-822","citation":{"ama":"Faure F, Weich T. Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. <i>Communications in Mathematical Physics</i>. 2017;356(3):755-822. doi:<a href=\"https://doi.org/10.1007/s00220-017-3000-0\">10.1007/s00220-017-3000-0</a>","chicago":"Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.” <i>Communications in Mathematical Physics</i> 356, no. 3 (2017): 755–822. <a href=\"https://doi.org/10.1007/s00220-017-3000-0\">https://doi.org/10.1007/s00220-017-3000-0</a>.","ieee":"F. Faure and T. Weich, “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps,” <i>Communications in Mathematical Physics</i>, vol. 356, no. 3, pp. 755–822, 2017, doi: <a href=\"https://doi.org/10.1007/s00220-017-3000-0\">10.1007/s00220-017-3000-0</a>.","mla":"Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.” <i>Communications in Mathematical Physics</i>, vol. 356, no. 3, Springer Science and Business Media LLC, 2017, pp. 755–822, doi:<a href=\"https://doi.org/10.1007/s00220-017-3000-0\">10.1007/s00220-017-3000-0</a>.","bibtex":"@article{Faure_Weich_2017, title={Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps}, volume={356}, DOI={<a href=\"https://doi.org/10.1007/s00220-017-3000-0\">10.1007/s00220-017-3000-0</a>}, number={3}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Faure, Frédéric and Weich, Tobias}, year={2017}, pages={755–822} }","short":"F. Faure, T. Weich, Communications in Mathematical Physics 356 (2017) 755–822.","apa":"Faure, F., &#38; Weich, T. (2017). Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. <i>Communications in Mathematical Physics</i>, <i>356</i>(3), 755–822. <a href=\"https://doi.org/10.1007/s00220-017-3000-0\">https://doi.org/10.1007/s00220-017-3000-0</a>"},"_id":"31268","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"user_id":"49178","type":"journal_article","status":"public","publisher":"Springer Science and Business Media LLC","date_created":"2022-05-17T12:11:13Z","title":"Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps","issue":"3","year":"2017","external_id":{"arxiv":["1504.06728"]},"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication":"Communications in Mathematical Physics"},{"author":[{"full_name":"Harris, Benjamin","last_name":"Harris","first_name":"Benjamin"},{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178","full_name":"Weich, Tobias"}],"volume":313,"date_updated":"2022-05-19T10:15:00Z","doi":"10.1016/j.aim.2017.03.025","publication_status":"published","publication_identifier":{"issn":["0001-8708"]},"citation":{"ama":"Harris B, Weich T. Wave front sets of reductive Lie group representations III. <i>Advances in Mathematics</i>. 2017;313:176-236. doi:<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>","chicago":"Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” <i>Advances in Mathematics</i> 313 (2017): 176–236. <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">https://doi.org/10.1016/j.aim.2017.03.025</a>.","ieee":"B. Harris and T. Weich, “Wave front sets of reductive Lie group representations III,” <i>Advances in Mathematics</i>, vol. 313, pp. 176–236, 2017, doi: <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>.","mla":"Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” <i>Advances in Mathematics</i>, vol. 313, Elsevier BV, 2017, pp. 176–236, doi:<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>.","bibtex":"@article{Harris_Weich_2017, title={Wave front sets of reductive Lie group representations III}, volume={313}, DOI={<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Harris, Benjamin and Weich, Tobias}, year={2017}, pages={176–236} }","short":"B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236.","apa":"Harris, B., &#38; Weich, T. (2017). Wave front sets of reductive Lie group representations III. <i>Advances in Mathematics</i>, <i>313</i>, 176–236. <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">https://doi.org/10.1016/j.aim.2017.03.025</a>"},"page":"176-236","intvolume":"       313","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"_id":"31272","type":"journal_article","status":"public","date_created":"2022-05-17T12:16:37Z","publisher":"Elsevier BV","title":"Wave front sets of reductive Lie group representations III","year":"2017","external_id":{"arxiv":["1503.08431"]},"language":[{"iso":"eng"}],"keyword":["General Mathematics"],"publication":"Advances in Mathematics"},{"publication":"Mathematische Annalen","external_id":{"arxiv":["1605.08801"]},"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"issue":"3-4","year":"2017","publisher":"Springer Science and Business Media LLC","date_created":"2022-05-17T12:09:43Z","title":"Classical and quantum resonances for hyperbolic surfaces","type":"journal_article","status":"public","_id":"31267","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"user_id":"49063","publication_identifier":{"issn":["0025-5831","1432-1807"]},"publication_status":"published","intvolume":"       370","page":"1231-1275","citation":{"ama":"Guillarmou C, Hilgert J, Weich T. Classical and quantum resonances for hyperbolic surfaces. <i>Mathematische Annalen</i>. 2017;370(3-4):1231-1275. doi:<a href=\"https://doi.org/10.1007/s00208-017-1576-5\">10.1007/s00208-017-1576-5</a>","chicago":"Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum Resonances for Hyperbolic Surfaces.” <i>Mathematische Annalen</i> 370, no. 3–4 (2017): 1231–75. <a href=\"https://doi.org/10.1007/s00208-017-1576-5\">https://doi.org/10.1007/s00208-017-1576-5</a>.","ieee":"C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances for hyperbolic surfaces,” <i>Mathematische Annalen</i>, vol. 370, no. 3–4, pp. 1231–1275, 2017, doi: <a href=\"https://doi.org/10.1007/s00208-017-1576-5\">10.1007/s00208-017-1576-5</a>.","apa":"Guillarmou, C., Hilgert, J., &#38; Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. <i>Mathematische Annalen</i>, <i>370</i>(3–4), 1231–1275. <a href=\"https://doi.org/10.1007/s00208-017-1576-5\">https://doi.org/10.1007/s00208-017-1576-5</a>","short":"C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275.","bibtex":"@article{Guillarmou_Hilgert_Weich_2017, title={Classical and quantum resonances for hyperbolic surfaces}, volume={370}, DOI={<a href=\"https://doi.org/10.1007/s00208-017-1576-5\">10.1007/s00208-017-1576-5</a>}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2017}, pages={1231–1275} }","mla":"Guillarmou, Colin, et al. “Classical and Quantum Resonances for Hyperbolic Surfaces.” <i>Mathematische Annalen</i>, vol. 370, no. 3–4, Springer Science and Business Media LLC, 2017, pp. 1231–75, doi:<a href=\"https://doi.org/10.1007/s00208-017-1576-5\">10.1007/s00208-017-1576-5</a>."},"date_updated":"2024-02-19T06:18:21Z","volume":370,"author":[{"last_name":"Guillarmou","full_name":"Guillarmou, Colin","first_name":"Colin"},{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"},{"last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178","first_name":"Tobias"}],"doi":"10.1007/s00208-017-1576-5"},{"publication":"Annals of Global Analysis and Geometry","language":[{"iso":"eng"}],"keyword":["Geometry and Topology","Analysis"],"year":"2017","issue":"1","title":"On the semiclassical functional calculus for h-dependent functions","date_created":"2022-06-20T08:47:57Z","publisher":"Springer Science and Business Media LLC","status":"public","type":"journal_article","extern":"1","department":[{"_id":"548"}],"user_id":"70575","_id":"32020","page":"57-97","intvolume":"        52","citation":{"apa":"Küster, B. (2017). On the semiclassical functional calculus for h-dependent functions. <i>Annals of Global Analysis and Geometry</i>, <i>52</i>(1), 57–97. <a href=\"https://doi.org/10.1007/s10455-017-9549-1\">https://doi.org/10.1007/s10455-017-9549-1</a>","short":"B. Küster, Annals of Global Analysis and Geometry 52 (2017) 57–97.","mla":"Küster, Benjamin. “On the Semiclassical Functional Calculus for H-Dependent Functions.” <i>Annals of Global Analysis and Geometry</i>, vol. 52, no. 1, Springer Science and Business Media LLC, 2017, pp. 57–97, doi:<a href=\"https://doi.org/10.1007/s10455-017-9549-1\">10.1007/s10455-017-9549-1</a>.","bibtex":"@article{Küster_2017, title={On the semiclassical functional calculus for h-dependent functions}, volume={52}, DOI={<a href=\"https://doi.org/10.1007/s10455-017-9549-1\">10.1007/s10455-017-9549-1</a>}, number={1}, journal={Annals of Global Analysis and Geometry}, publisher={Springer Science and Business Media LLC}, author={Küster, Benjamin}, year={2017}, pages={57–97} }","ieee":"B. Küster, “On the semiclassical functional calculus for h-dependent functions,” <i>Annals of Global Analysis and Geometry</i>, vol. 52, no. 1, pp. 57–97, 2017, doi: <a href=\"https://doi.org/10.1007/s10455-017-9549-1\">10.1007/s10455-017-9549-1</a>.","chicago":"Küster, Benjamin. “On the Semiclassical Functional Calculus for H-Dependent Functions.” <i>Annals of Global Analysis and Geometry</i> 52, no. 1 (2017): 57–97. <a href=\"https://doi.org/10.1007/s10455-017-9549-1\">https://doi.org/10.1007/s10455-017-9549-1</a>.","ama":"Küster B. On the semiclassical functional calculus for h-dependent functions. <i>Annals of Global Analysis and Geometry</i>. 2017;52(1):57-97. doi:<a href=\"https://doi.org/10.1007/s10455-017-9549-1\">10.1007/s10455-017-9549-1</a>"},"publication_identifier":{"issn":["0232-704X","1572-9060"]},"publication_status":"published","doi":"10.1007/s10455-017-9549-1","volume":52,"author":[{"first_name":"Benjamin","last_name":"Küster","full_name":"Küster, Benjamin"}],"date_updated":"2024-04-11T12:26:30Z"},{"language":[{"iso":"eng"}],"keyword":["Analysis"],"publication":"Journal of Functional Analysis","title":"Quantum ergodicity and symmetry reduction","date_created":"2022-06-20T08:48:46Z","publisher":"Elsevier BV","year":"2017","issue":"1","extern":"1","department":[{"_id":"548"}],"user_id":"70575","_id":"32022","status":"public","type":"journal_article","doi":"10.1016/j.jfa.2017.02.013","volume":273,"author":[{"first_name":"Benjamin","full_name":"Küster, Benjamin","last_name":"Küster"},{"first_name":"Pablo","last_name":"Ramacher","full_name":"Ramacher, Pablo"}],"date_updated":"2024-04-11T12:26:36Z","intvolume":"       273","page":"41-124","citation":{"short":"B. Küster, P. Ramacher, Journal of Functional Analysis 273 (2017) 41–124.","bibtex":"@article{Küster_Ramacher_2017, title={Quantum ergodicity and symmetry reduction}, volume={273}, DOI={<a href=\"https://doi.org/10.1016/j.jfa.2017.02.013\">10.1016/j.jfa.2017.02.013</a>}, number={1}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Küster, Benjamin and Ramacher, Pablo}, year={2017}, pages={41–124} }","mla":"Küster, Benjamin, and Pablo Ramacher. “Quantum Ergodicity and Symmetry Reduction.” <i>Journal of Functional Analysis</i>, vol. 273, no. 1, Elsevier BV, 2017, pp. 41–124, doi:<a href=\"https://doi.org/10.1016/j.jfa.2017.02.013\">10.1016/j.jfa.2017.02.013</a>.","apa":"Küster, B., &#38; Ramacher, P. (2017). Quantum ergodicity and symmetry reduction. <i>Journal of Functional Analysis</i>, <i>273</i>(1), 41–124. <a href=\"https://doi.org/10.1016/j.jfa.2017.02.013\">https://doi.org/10.1016/j.jfa.2017.02.013</a>","ieee":"B. Küster and P. Ramacher, “Quantum ergodicity and symmetry reduction,” <i>Journal of Functional Analysis</i>, vol. 273, no. 1, pp. 41–124, 2017, doi: <a href=\"https://doi.org/10.1016/j.jfa.2017.02.013\">10.1016/j.jfa.2017.02.013</a>.","chicago":"Küster, Benjamin, and Pablo Ramacher. “Quantum Ergodicity and Symmetry Reduction.” <i>Journal of Functional Analysis</i> 273, no. 1 (2017): 41–124. <a href=\"https://doi.org/10.1016/j.jfa.2017.02.013\">https://doi.org/10.1016/j.jfa.2017.02.013</a>.","ama":"Küster B, Ramacher P. Quantum ergodicity and symmetry reduction. <i>Journal of Functional Analysis</i>. 2017;273(1):41-124. doi:<a href=\"https://doi.org/10.1016/j.jfa.2017.02.013\">10.1016/j.jfa.2017.02.013</a>"},"publication_identifier":{"issn":["0022-1236"]},"publication_status":"published"},{"page":"267-329","intvolume":"         6","citation":{"ama":"Borthwick D, Weich T. Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. <i>Journal of Spectral Theory</i>. 2016;6(2):267-329. doi:<a href=\"https://doi.org/10.4171/jst/125\">10.4171/jst/125</a>","ieee":"D. Borthwick and T. Weich, “Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions,” <i>Journal of Spectral Theory</i>, vol. 6, no. 2, pp. 267–329, 2016, doi: <a href=\"https://doi.org/10.4171/jst/125\">10.4171/jst/125</a>.","chicago":"Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic Iterated Function Schemes and Factorization of Selberg Zeta Functions.” <i>Journal of Spectral Theory</i> 6, no. 2 (2016): 267–329. <a href=\"https://doi.org/10.4171/jst/125\">https://doi.org/10.4171/jst/125</a>.","bibtex":"@article{Borthwick_Weich_2016, title={Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions}, volume={6}, DOI={<a href=\"https://doi.org/10.4171/jst/125\">10.4171/jst/125</a>}, number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Borthwick, David and Weich, Tobias}, year={2016}, pages={267–329} }","mla":"Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic Iterated Function Schemes and Factorization of Selberg Zeta Functions.” <i>Journal of Spectral Theory</i>, vol. 6, no. 2, European Mathematical Society - EMS - Publishing House GmbH, 2016, pp. 267–329, doi:<a href=\"https://doi.org/10.4171/jst/125\">10.4171/jst/125</a>.","short":"D. Borthwick, T. Weich, Journal of Spectral Theory 6 (2016) 267–329.","apa":"Borthwick, D., &#38; Weich, T. (2016). Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. <i>Journal of Spectral Theory</i>, <i>6</i>(2), 267–329. <a href=\"https://doi.org/10.4171/jst/125\">https://doi.org/10.4171/jst/125</a>"},"publication_identifier":{"issn":["1664-039X"]},"publication_status":"published","doi":"10.4171/jst/125","volume":6,"author":[{"first_name":"David","last_name":"Borthwick","full_name":"Borthwick, David"},{"last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178","full_name":"Weich, Tobias","first_name":"Tobias"}],"date_updated":"2022-05-19T10:15:17Z","status":"public","type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"user_id":"49178","_id":"31274","year":"2016","issue":"2","title":"Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions","date_created":"2022-05-17T12:18:22Z","publisher":"European Mathematical Society - EMS - Publishing House GmbH","publication":"Journal of Spectral Theory","language":[{"iso":"eng"}],"keyword":["Geometry and Topology","Mathematical Physics","Statistical and Nonlinear Physics"],"external_id":{"arxiv":["1407.6134 "]}},{"publisher":"Springer Science and Business Media LLC","date_created":"2022-05-17T12:53:51Z","title":"On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows","issue":"1","year":"2016","external_id":{"arxiv":["1511.08338"]},"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication":"Annales Henri Poincaré","date_updated":"2022-05-19T10:15:36Z","author":[{"full_name":"Weich, Tobias","id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias"}],"volume":18,"doi":"10.1007/s00023-016-0514-5","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]},"citation":{"short":"T. Weich, Annales Henri Poincaré 18 (2016) 37–52.","mla":"Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.” <i>Annales Henri Poincaré</i>, vol. 18, no. 1, Springer Science and Business Media LLC, 2016, pp. 37–52, doi:<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>.","bibtex":"@article{Weich_2016, title={On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows}, volume={18}, DOI={<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>}, number={1}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Weich, Tobias}, year={2016}, pages={37–52} }","apa":"Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. <i>Annales Henri Poincaré</i>, <i>18</i>(1), 37–52. <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">https://doi.org/10.1007/s00023-016-0514-5</a>","ama":"Weich T. On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. <i>Annales Henri Poincaré</i>. 2016;18(1):37-52. doi:<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>","chicago":"Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.” <i>Annales Henri Poincaré</i> 18, no. 1 (2016): 37–52. <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">https://doi.org/10.1007/s00023-016-0514-5</a>.","ieee":"T. Weich, “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows,” <i>Annales Henri Poincaré</i>, vol. 18, no. 1, pp. 37–52, 2016, doi: <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>."},"intvolume":"        18","page":"37-52","_id":"31289","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","status":"public"},{"external_id":{"arxiv":["1302.3087"]},"keyword":["Applied Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"publication":"Ergodic Theory and Dynamical Systems","abstract":[{"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>","lang":"eng"}],"publisher":"Cambridge University Press (CUP)","date_created":"2022-05-17T12:55:26Z","title":"Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps","issue":"1","year":"2015","_id":"31291","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","status":"public","date_updated":"2022-05-19T10:15:54Z","author":[{"first_name":"JEAN FRANCOIS","last_name":"ARNOLDI","full_name":"ARNOLDI, JEAN FRANCOIS"},{"last_name":"FAURE","full_name":"FAURE, FRÉDÉRIC","first_name":"FRÉDÉRIC"},{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178","full_name":"Weich, Tobias"}],"volume":37,"doi":"10.1017/etds.2015.34","publication_status":"published","publication_identifier":{"issn":["0143-3857","1469-4417"]},"citation":{"short":"J.F. ARNOLDI, F. FAURE, T. Weich, Ergodic Theory and Dynamical Systems 37 (2015) 1–58.","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} }","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>","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>.","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>."},"page":"1-58","intvolume":"        37"},{"issue":"2","year":"2015","date_created":"2022-05-17T12:56:21Z","publisher":"Springer Science and Business Media LLC","title":"Resonance Chains and Geometric Limits on Schottky Surfaces","publication":"Communications in Mathematical Physics","external_id":{"arxiv":["1403.7419 "]},"language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"publication_status":"published","publication_identifier":{"issn":["0010-3616","1432-0916"]},"citation":{"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>","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>.","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>.","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>","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>.","short":"T. Weich, Communications in Mathematical Physics 337 (2015) 727–765.","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} }"},"intvolume":"       337","page":"727-765","author":[{"first_name":"Tobias","id":"49178","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich"}],"volume":337,"date_updated":"2022-05-19T10:16:21Z","doi":"10.1007/s00220-015-2359-z","type":"journal_article","status":"public","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"_id":"31293"},{"status":"public","type":"journal_article","article_number":"101501","_id":"31294","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"citation":{"ama":"Weich T. Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators. <i>Journal of Mathematical Physics</i>. 2014;55(10). doi:<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>","ieee":"T. Weich, “Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, Art. no. 101501, 2014, doi: <a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>.","chicago":"Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential Operators.” <i>Journal of Mathematical Physics</i> 55, no. 10 (2014). <a href=\"https://doi.org/10.1063/1.4896698\">https://doi.org/10.1063/1.4896698</a>.","bibtex":"@article{Weich_2014, title={Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators}, volume={55}, DOI={<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>}, number={10101501}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Weich, Tobias}, year={2014} }","mla":"Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential Operators.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, 101501, AIP Publishing, 2014, doi:<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>.","short":"T. Weich, Journal of Mathematical Physics 55 (2014).","apa":"Weich, T. (2014). Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators. <i>Journal of Mathematical Physics</i>, <i>55</i>(10), Article 101501. <a href=\"https://doi.org/10.1063/1.4896698\">https://doi.org/10.1063/1.4896698</a>"},"intvolume":"        55","publication_status":"published","publication_identifier":{"issn":["0022-2488","1089-7658"]},"doi":"10.1063/1.4896698","date_updated":"2022-05-19T10:16:38Z","author":[{"first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178","full_name":"Weich, Tobias"}],"volume":55,"publication":"Journal of Mathematical Physics","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["1311.2436 "]},"year":"2014","issue":"10","title":"Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators","publisher":"AIP Publishing","date_created":"2022-05-17T12:57:00Z"},{"publication_status":"published","publication_identifier":{"unknown":["2336-1298","1804-1388"]},"issue":"2","year":"2014","citation":{"ama":"Küster B. Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra. <i>Communications in Mathematics</i>. 2014;22(2):141-149.","ieee":"B. Küster, “Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra,” <i>Communications in Mathematics</i>, vol. 22, no. 2, pp. 141–149, 2014.","chicago":"Küster, Benjamin. “Discontinuity of the Fuglede-Kadison Determinant on a Group von Neumann Algebra.” <i>Communications in Mathematics</i> 22, no. 2 (2014): 141–49.","apa":"Küster, B. (2014). Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra. <i>Communications in Mathematics</i>, <i>22</i>(2), 141–149.","bibtex":"@article{Küster_2014, title={Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra}, volume={22}, number={2}, journal={Communications in Mathematics}, author={Küster, Benjamin}, year={2014}, pages={141–149} }","mla":"Küster, Benjamin. “Discontinuity of the Fuglede-Kadison Determinant on a Group von Neumann Algebra.” <i>Communications in Mathematics</i>, vol. 22, no. 2, 2014, pp. 141–49.","short":"B. Küster, Communications in Mathematics 22 (2014) 141–149."},"page":"141 - 149","intvolume":"        22","date_updated":"2024-04-11T12:41:29Z","date_created":"2022-06-20T08:54:34Z","author":[{"first_name":"Benjamin","last_name":"Küster","full_name":"Küster, Benjamin"}],"volume":22,"title":"Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra","type":"journal_article","publication":"Communications in Mathematics","status":"public","_id":"32025","user_id":"70575","department":[{"_id":"548"}],"extern":"1","language":[{"iso":"eng"}]},{"external_id":{"arxiv":["1403.7771 "]},"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication":"Nonlinearity","publisher":"IOP Publishing","date_created":"2022-05-17T12:58:25Z","title":"Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum","issue":"8","year":"2014","_id":"31296","user_id":"48188","department":[{"_id":"10"},{"_id":"548"},{"_id":"288"}],"type":"journal_article","status":"public","date_updated":"2023-01-19T08:56:12Z","author":[{"last_name":"Barkhofen","full_name":"Barkhofen, Sonja","id":"48188","first_name":"Sonja"},{"full_name":"Faure, F","last_name":"Faure","first_name":"F"},{"orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178","full_name":"Weich, Tobias","first_name":"Tobias"}],"volume":27,"doi":"10.1088/0951-7715/27/8/1829","publication_status":"published","publication_identifier":{"issn":["0951-7715","1361-6544"]},"citation":{"ama":"Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>. 2014;27(8):1829-1858. doi:<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>","chicago":"Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i> 27, no. 8 (2014): 1829–58. <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">https://doi.org/10.1088/0951-7715/27/8/1829</a>.","ieee":"S. Barkhofen, F. Faure, and T. Weich, “Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum,” <i>Nonlinearity</i>, vol. 27, no. 8, pp. 1829–1858, 2014, doi: <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>.","apa":"Barkhofen, S., Faure, F., &#38; Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>, <i>27</i>(8), 1829–1858. <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">https://doi.org/10.1088/0951-7715/27/8/1829</a>","mla":"Barkhofen, Sonja, et al. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i>, vol. 27, no. 8, IOP Publishing, 2014, pp. 1829–58, doi:<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>.","bibtex":"@article{Barkhofen_Faure_Weich_2014, title={Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum}, volume={27}, DOI={<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Barkhofen, Sonja and Faure, F and Weich, Tobias}, year={2014}, pages={1829–1858} }","short":"S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858."},"page":"1829-1858","intvolume":"        27"},{"year":"2014","issue":"3","title":"Formation and interaction of resonance chains in the open three-disk system","publisher":"IOP Publishing","date_created":"2022-05-17T12:59:49Z","publication":"New Journal of Physics","keyword":["General Physics and Astronomy"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["1311.5128 "]},"citation":{"bibtex":"@article{Weich_Barkhofen_Kuhl_Poli_Schomerus_2014, title={Formation and interaction of resonance chains in the open three-disk system}, volume={16}, DOI={<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>}, number={3033029}, journal={New Journal of Physics}, publisher={IOP Publishing}, author={Weich, Tobias and Barkhofen, Sonja and Kuhl, U and Poli, C and Schomerus, H}, year={2014} }","mla":"Weich, Tobias, et al. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” <i>New Journal of Physics</i>, vol. 16, no. 3, 033029, IOP Publishing, 2014, doi:<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>.","short":"T. Weich, S. Barkhofen, U. Kuhl, C. Poli, H. Schomerus, New Journal of Physics 16 (2014).","apa":"Weich, T., Barkhofen, S., Kuhl, U., Poli, C., &#38; Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. <i>New Journal of Physics</i>, <i>16</i>(3), Article 033029. <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">https://doi.org/10.1088/1367-2630/16/3/033029</a>","ieee":"T. Weich, S. Barkhofen, U. Kuhl, C. Poli, and H. Schomerus, “Formation and interaction of resonance chains in the open three-disk system,” <i>New Journal of Physics</i>, vol. 16, no. 3, Art. no. 033029, 2014, doi: <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>.","chicago":"Weich, Tobias, Sonja Barkhofen, U Kuhl, C Poli, and H Schomerus. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” <i>New Journal of Physics</i> 16, no. 3 (2014). <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">https://doi.org/10.1088/1367-2630/16/3/033029</a>.","ama":"Weich T, Barkhofen S, Kuhl U, Poli C, Schomerus H. Formation and interaction of resonance chains in the open three-disk system. <i>New Journal of Physics</i>. 2014;16(3). doi:<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>"},"intvolume":"        16","publication_status":"published","publication_identifier":{"issn":["1367-2630"]},"doi":"10.1088/1367-2630/16/3/033029","date_updated":"2023-01-24T08:07:57Z","author":[{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178","full_name":"Weich, Tobias"},{"first_name":"Sonja","full_name":"Barkhofen, Sonja","id":"48188","last_name":"Barkhofen"},{"first_name":"U","last_name":"Kuhl","full_name":"Kuhl, U"},{"last_name":"Poli","full_name":"Poli, C","first_name":"C"},{"full_name":"Schomerus, H","last_name":"Schomerus","first_name":"H"}],"volume":16,"status":"public","type":"journal_article","article_number":"033029","_id":"31297","user_id":"48188","department":[{"_id":"10"},{"_id":"548"}]},{"department":[{"_id":"10"},{"_id":"548"},{"_id":"288"}],"user_id":"48188","_id":"31298","article_number":"164102","type":"journal_article","status":"public","volume":110,"author":[{"first_name":"Sonja","last_name":"Barkhofen","id":"48188","full_name":"Barkhofen, Sonja"},{"last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178","full_name":"Weich, Tobias","first_name":"Tobias"},{"last_name":"Potzuweit","full_name":"Potzuweit, A.","first_name":"A."},{"last_name":"Stöckmann","full_name":"Stöckmann, H.-J.","first_name":"H.-J."},{"last_name":"Kuhl","full_name":"Kuhl, U.","first_name":"U."},{"full_name":"Zworski, M.","last_name":"Zworski","first_name":"M."}],"date_updated":"2023-01-19T08:49:01Z","doi":"10.1103/physrevlett.110.164102","publication_identifier":{"issn":["0031-9007","1079-7114"]},"publication_status":"published","intvolume":"       110","citation":{"apa":"Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., &#38; Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. <i>Physical Review Letters</i>, <i>110</i>(16), Article 164102. <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">https://doi.org/10.1103/physrevlett.110.164102</a>","mla":"Barkhofen, Sonja, et al. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” <i>Physical Review Letters</i>, vol. 110, no. 16, 164102, American Physical Society (APS), 2013, doi:<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>.","bibtex":"@article{Barkhofen_Weich_Potzuweit_Stöckmann_Kuhl_Zworski_2013, title={Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}, volume={110}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>}, number={16164102}, journal={Physical Review Letters}, publisher={American Physical Society (APS)}, author={Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}, year={2013} }","short":"S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski, Physical Review Letters 110 (2013).","chicago":"Barkhofen, Sonja, Tobias Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” <i>Physical Review Letters</i> 110, no. 16 (2013). <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">https://doi.org/10.1103/physrevlett.110.164102</a>.","ieee":"S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski, “Experimental Observation of the Spectral Gap in Microwave n-Disk Systems,” <i>Physical Review Letters</i>, vol. 110, no. 16, Art. no. 164102, 2013, doi: <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>.","ama":"Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. <i>Physical Review Letters</i>. 2013;110(16). doi:<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>"},"external_id":{"arxiv":["1212.5897 "]},"language":[{"iso":"eng"}],"keyword":["General Physics and Astronomy"],"publication":"Physical Review Letters","date_created":"2022-05-17T13:00:47Z","publisher":"American Physical Society (APS)","title":"Experimental Observation of the Spectral Gap in Microwave n-Disk Systems","issue":"16","year":"2013"},{"author":[{"first_name":"A.","full_name":"Potzuweit, A.","last_name":"Potzuweit"},{"last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178","full_name":"Weich, Tobias","first_name":"Tobias"},{"last_name":"Barkhofen","full_name":"Barkhofen, Sonja","id":"48188","first_name":"Sonja"},{"first_name":"U.","last_name":"Kuhl","full_name":"Kuhl, U."},{"last_name":"Stöckmann","full_name":"Stöckmann, H.-J.","first_name":"H.-J."},{"first_name":"M.","full_name":"Zworski, M.","last_name":"Zworski"}],"volume":86,"date_updated":"2022-05-19T10:18:57Z","doi":"10.1103/physreve.86.066205","publication_status":"published","publication_identifier":{"issn":["1539-3755","1550-2376"]},"citation":{"apa":"Potzuweit, A., Weich, T., Barkhofen, S., Kuhl, U., Stöckmann, H.-J., &#38; Zworski, M. (2012). Weyl asymptotics: From closed to open systems. <i>Physical Review E</i>, <i>86</i>(6), Article 066205. <a href=\"https://doi.org/10.1103/physreve.86.066205\">https://doi.org/10.1103/physreve.86.066205</a>","bibtex":"@article{Potzuweit_Weich_Barkhofen_Kuhl_Stöckmann_Zworski_2012, title={Weyl asymptotics: From closed to open systems}, volume={86}, DOI={<a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>}, number={6066205}, journal={Physical Review E}, publisher={American Physical Society (APS)}, author={Potzuweit, A. and Weich, Tobias and Barkhofen, Sonja and Kuhl, U. and Stöckmann, H.-J. and Zworski, M.}, year={2012} }","mla":"Potzuweit, A., et al. “Weyl Asymptotics: From Closed to Open Systems.” <i>Physical Review E</i>, vol. 86, no. 6, 066205, American Physical Society (APS), 2012, doi:<a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>.","short":"A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, M. Zworski, Physical Review E 86 (2012).","ieee":"A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski, “Weyl asymptotics: From closed to open systems,” <i>Physical Review E</i>, vol. 86, no. 6, Art. no. 066205, 2012, doi: <a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>.","chicago":"Potzuweit, A., Tobias Weich, Sonja Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski. “Weyl Asymptotics: From Closed to Open Systems.” <i>Physical Review E</i> 86, no. 6 (2012). <a href=\"https://doi.org/10.1103/physreve.86.066205\">https://doi.org/10.1103/physreve.86.066205</a>.","ama":"Potzuweit A, Weich T, Barkhofen S, Kuhl U, Stöckmann H-J, Zworski M. Weyl asymptotics: From closed to open systems. <i>Physical Review E</i>. 2012;86(6). doi:<a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>"},"intvolume":"        86","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"_id":"31300","article_number":"066205","type":"journal_article","status":"public","date_created":"2022-05-17T13:01:39Z","publisher":"American Physical Society (APS)","title":"Weyl asymptotics: From closed to open systems","issue":"6","year":"2012","external_id":{"arxiv":["1209.2304"]},"language":[{"iso":"eng"}],"keyword":["Industrial and Manufacturing Engineering","Metals and Alloys","Strategy and Management","Mechanical Engineering"],"publication":"Physical Review E"}]