[{"project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"_id":"57820","user_id":"11829","department":[{"_id":"90"}],"article_number":"113600","language":[{"iso":"eng"}],"type":"journal_article","publication":"Nonlinear Analysis","status":"public","date_updated":"2026-01-05T08:02:36Z","publisher":"Elsevier BV","author":[{"first_name":"Vanja","full_name":"Nikolić, Vanja","last_name":"Nikolić"},{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_created":"2024-12-18T07:13:19Z","volume":247,"title":"L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation","doi":"10.1016/j.na.2024.113600","publication_status":"published","publication_identifier":{"issn":["0362-546X"]},"year":"2024","citation":{"short":"V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).","bibtex":"@article{Nikolić_Winkler_2024, title={L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation}, volume={247}, DOI={<a href=\"https://doi.org/10.1016/j.na.2024.113600\">10.1016/j.na.2024.113600</a>}, number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić, Vanja and Winkler, Michael}, year={2024} }","mla":"Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson Equation.” <i>Nonlinear Analysis</i>, vol. 247, 113600, Elsevier BV, 2024, doi:<a href=\"https://doi.org/10.1016/j.na.2024.113600\">10.1016/j.na.2024.113600</a>.","apa":"Nikolić, V., &#38; Winkler, M. (2024). L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation. <i>Nonlinear Analysis</i>, <i>247</i>, Article 113600. <a href=\"https://doi.org/10.1016/j.na.2024.113600\">https://doi.org/10.1016/j.na.2024.113600</a>","chicago":"Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson Equation.” <i>Nonlinear Analysis</i> 247 (2024). <a href=\"https://doi.org/10.1016/j.na.2024.113600\">https://doi.org/10.1016/j.na.2024.113600</a>.","ieee":"V. Nikolić and M. Winkler, “L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation,” <i>Nonlinear Analysis</i>, vol. 247, Art. no. 113600, 2024, doi: <a href=\"https://doi.org/10.1016/j.na.2024.113600\">10.1016/j.na.2024.113600</a>.","ama":"Nikolić V, Winkler M. L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation. <i>Nonlinear Analysis</i>. 2024;247. doi:<a href=\"https://doi.org/10.1016/j.na.2024.113600\">10.1016/j.na.2024.113600</a>"},"intvolume":"       247"},{"title":"Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces","date_created":"2025-02-28T10:32:30Z","author":[{"last_name":"Delarue","id":"70575","full_name":"Delarue, Benjamin","first_name":"Benjamin"},{"first_name":"Guendalina","last_name":"Palmirotta","full_name":"Palmirotta, Guendalina","id":"109467"}],"date_updated":"2026-03-30T12:01:12Z","citation":{"short":"B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).","mla":"Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>, 2024.","bibtex":"@article{Delarue_Palmirotta_2024, title={Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces}, journal={arXiv:2411.19782}, author={Delarue, Benjamin and Palmirotta, Guendalina}, year={2024} }","apa":"Delarue, B., &#38; Palmirotta, G. (2024). Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. In <i>arXiv:2411.19782</i>.","chicago":"Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>, 2024.","ieee":"B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces,” <i>arXiv:2411.19782</i>. 2024.","ama":"Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. <i>arXiv:241119782</i>. Published online 2024."},"year":"2024","language":[{"iso":"eng"}],"user_id":"109467","department":[{"_id":"548"}],"project":[{"_id":"356","name":"TRR 358; TP B02: Spektraltheorie in höherem Rang und unendlichem Volumen"}],"external_id":{"arxiv":["2411.19782"]},"_id":"58873","status":"public","abstract":[{"lang":"eng","text":"We prove that the Patterson-Sullivan and Wigner distributions on the unit\r\nsphere bundle of a convex-cocompact hyperbolic surface are asymptotically\r\nidentical. This generalizes results in the compact case by\r\nAnantharaman-Zelditch and Hansen-Hilgert-Schr\\\"oder."}],"type":"preprint","publication":"arXiv:2411.19782"},{"year":"2023","intvolume":"       403","citation":{"ama":"Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric  spaces. <i>Communications in Mathematical Physics</i>. 2023;403. doi:<a href=\"https://doi.org/10.1007/s00220-023-04819-1\">https://doi.org/10.1007/s00220-023-04819-1</a>","chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric  Spaces.” <i>Communications in Mathematical Physics</i> 403 (2023). <a href=\"https://doi.org/10.1007/s00220-023-04819-1\">https://doi.org/10.1007/s00220-023-04819-1</a>.","ieee":"T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank locally symmetric  spaces,” <i>Communications in Mathematical Physics</i>, vol. 403, 2023, doi: <a href=\"https://doi.org/10.1007/s00220-023-04819-1\">https://doi.org/10.1007/s00220-023-04819-1</a>.","mla":"Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric  Spaces.” <i>Communications in Mathematical Physics</i>, vol. 403, 2023, doi:<a href=\"https://doi.org/10.1007/s00220-023-04819-1\">https://doi.org/10.1007/s00220-023-04819-1</a>.","bibtex":"@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher rank locally symmetric  spaces}, volume={403}, DOI={<a href=\"https://doi.org/10.1007/s00220-023-04819-1\">https://doi.org/10.1007/s00220-023-04819-1</a>}, journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }","short":"T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023).","apa":"Weich, T., &#38; Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric  spaces. <i>Communications in Mathematical Physics</i>, <i>403</i>. <a href=\"https://doi.org/10.1007/s00220-023-04819-1\">https://doi.org/10.1007/s00220-023-04819-1</a>"},"publication_identifier":{"unknown":["1275-1295"]},"title":"Absence of principal eigenvalues for higher rank locally symmetric  spaces","doi":"https://doi.org/10.1007/s00220-023-04819-1","date_updated":"2024-02-06T20:52:40Z","volume":403,"date_created":"2022-05-11T10:38:11Z","author":[{"first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias","id":"49178"},{"first_name":"Lasse Lennart","last_name":"Wolf","id":"45027","full_name":"Wolf, Lasse Lennart"}],"abstract":[{"lang":"eng","text":"Given a geometrically finite hyperbolic surface of infinite volume it is a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding principal eigenvalues. A large class of examples fulfilling these\r\nassumptions are the non-compact quotients by Anosov subgroups."}],"status":"public","publication":"Communications in Mathematical Physics","type":"journal_article","language":[{"iso":"eng"}],"_id":"31189","external_id":{"arxiv":["2205.03167"]},"department":[{"_id":"10"},{"_id":"548"},{"_id":"623"}],"user_id":"49178"},{"title":"Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions","author":[{"id":"50168","full_name":"Schütte, Philipp","last_name":"Schütte","first_name":"Philipp"},{"first_name":"Tobias","full_name":"Weich, Tobias","id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919"}],"date_created":"2024-02-06T20:58:35Z","date_updated":"2024-02-11T19:56:01Z","citation":{"ama":"Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. <i>arXiv:230813463</i>. Published online 2023.","ieee":"P. Schütte and T. Weich, “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions,” <i>arXiv:2308.13463</i>. 2023.","chicago":"Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” <i>ArXiv:2308.13463</i>, 2023.","short":"P. Schütte, T. Weich, ArXiv:2308.13463 (2023).","mla":"Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” <i>ArXiv:2308.13463</i>, 2023.","bibtex":"@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463}, author={Schütte, Philipp and Weich, Tobias}, year={2023} }","apa":"Schütte, P., &#38; Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. In <i>arXiv:2308.13463</i>."},"year":"2023","language":[{"iso":"eng"}],"user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"external_id":{"arxiv":["2308.13463"]},"_id":"51206","status":"public","abstract":[{"lang":"eng","text":"We present a numerical algorithm for the computation of invariant Ruelle\r\ndistributions on convex co-compact hyperbolic surfaces. This is achieved by\r\nexploiting the connection between invariant Ruelle distributions and residues\r\nof meromorphically continued weighted zeta functions established by the authors\r\ntogether with Barkhofen (2021). To make this applicable for numerics we express\r\nthe weighted zeta as the logarithmic derivative of a suitable parameter\r\ndependent Fredholm determinant similar to Borthwick (2014). As an additional\r\ndifficulty our transfer operator has to include a contracting direction which\r\nwe account for with techniques developed by Rugh (1992). We achieve a further\r\nimprovement in convergence speed for our algorithm in the case of surfaces with\r\nadditional symmetries by proving and applying a symmetry reduction of weighted\r\nzeta functions."}],"type":"preprint","publication":"arXiv:2308.13463"},{"abstract":[{"text":"In this paper we complete the program of relating the Laplace spectrum for\r\nrank one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset of exceptional spectral parameters always left untreated since the\r\ncorresponding Poisson transforms are neither injective nor surjective. We use\r\nvector valued Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces the exceptional spectral parameters lead to discrete\r\nseries representations of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more complicated, but can be described completely.","lang":"eng"}],"publication":"Journal de l’École polytechnique — Mathématiques","keyword":["Ruelle resonances","Poisson transforms","locally symmetric spaces","principal series representations"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["2112.11073"]},"year":"2023","title":"Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters","date_created":"2022-05-11T12:27:00Z","status":"public","type":"journal_article","_id":"31210","user_id":"49063","department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"citation":{"ama":"Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. <i>Journal de l’École polytechnique — Mathématiques</i>. 2023;10:335-403. doi:<a href=\"https://doi.org/10.5802/jep.220\">10.5802/jep.220</a>","ieee":"C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” <i>Journal de l’École polytechnique — Mathématiques</i>, vol. 10, pp. 335–403, 2023, doi: <a href=\"https://doi.org/10.5802/jep.220\">10.5802/jep.220</a>.","chicago":"Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” <i>Journal de l’École Polytechnique — Mathématiques</i> 10 (2023): 335–403. <a href=\"https://doi.org/10.5802/jep.220\">https://doi.org/10.5802/jep.220</a>.","apa":"Arends, C., &#38; Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. <i>Journal de l’École Polytechnique — Mathématiques</i>, <i>10</i>, 335–403. <a href=\"https://doi.org/10.5802/jep.220\">https://doi.org/10.5802/jep.220</a>","mla":"Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” <i>Journal de l’École Polytechnique — Mathématiques</i>, vol. 10, 2023, pp. 335–403, doi:<a href=\"https://doi.org/10.5802/jep.220\">10.5802/jep.220</a>.","bibtex":"@article{Arends_Hilgert_2023, title={Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters}, volume={10}, DOI={<a href=\"https://doi.org/10.5802/jep.220\">10.5802/jep.220</a>}, journal={Journal de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert, Joachim}, year={2023}, pages={335–403} }","short":"C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403."},"intvolume":"        10","page":"335-403","publication_status":"published","publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"doi":"10.5802/jep.220","date_updated":"2024-02-19T06:30:26Z","author":[{"first_name":"Christian","last_name":"Arends","id":"43994","full_name":"Arends, Christian"},{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"}],"volume":10},{"quality_controlled":"1","year":"2023","date_created":"2022-12-21T19:31:13Z","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","publication":"Journal of Differential Equations","external_id":{"arxiv":["2007.11277"]},"keyword":["22E65","28B05","34A12","34H05","46E30","46E40"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-0396"]},"citation":{"chicago":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i> 343 (2023): 186–232. <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">https://doi.org/10.1016/j.jde.2022.10.001</a>.","ieee":"H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” <i>Journal of Differential Equations</i>, vol. 343, pp. 186–232, 2023, doi: <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>.","ama":"Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>Journal of Differential Equations</i>. 2023;343:186–232. doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>","bibtex":"@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }","mla":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i>, vol. 343, 2023, pp. 186–232, doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>.","short":"H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.","apa":"Glöckner, H., &#38; Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>Journal of Differential Equations</i>, <i>343</i>, 186–232. <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">https://doi.org/10.1016/j.jde.2022.10.001</a>"},"page":"186–232","intvolume":"       343","date_updated":"2024-03-22T16:02:32Z","author":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"},{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"volume":343,"doi":"10.1016/j.jde.2022.10.001","type":"journal_article","status":"public","_id":"34793","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"},{"_id":"91"}],"article_type":"original"},{"department":[{"_id":"10"},{"_id":"548"}],"user_id":"45027","external_id":{"arxiv":["2311.11770"]},"_id":"53404","language":[{"iso":"eng"}],"publication":"arXiv:2311.11770","type":"preprint","status":"public","abstract":[{"lang":"eng","text":"In this short note we observe, on locally symmetric spaces of higher rank, a\r\nconnection between the growth indicator function introduced by Quint and the\r\nmodified critical exponent of the Poincar\\'e series equipped with the\r\npolyhedral distance. As a consequence, we provide a different characterization\r\nof the bottom of the $L^2$-spectrum of the Laplace-Beltrami operator in terms\r\nof the growth indicator function. Moreover, we explore the relationship between\r\nthese three objects and the temperedness."}],"date_created":"2024-04-10T13:45:59Z","author":[{"first_name":"Lasse L.","full_name":"Wolf, Lasse L.","last_name":"Wolf"},{"full_name":"Zhang, Hong-Wei","last_name":"Zhang","first_name":"Hong-Wei"}],"date_updated":"2024-04-10T13:48:17Z","title":"$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces","citation":{"ama":"Wolf LL, Zhang H-W. $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. <i>arXiv:231111770</i>. Published online 2023.","chicago":"Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>, 2023.","ieee":"L. L. Wolf and H.-W. Zhang, “$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces,” <i>arXiv:2311.11770</i>. 2023.","apa":"Wolf, L. L., &#38; Zhang, H.-W. (2023). $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. In <i>arXiv:2311.11770</i>.","bibtex":"@article{Wolf_Zhang_2023, title={$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces}, journal={arXiv:2311.11770}, author={Wolf, Lasse L. and Zhang, Hong-Wei}, year={2023} }","short":"L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023).","mla":"Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>, 2023."},"year":"2023"},{"language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"user_id":"70575","department":[{"_id":"548"}],"_id":"53410","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing, the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146, 2016) can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane.</jats:p>","lang":"eng"}],"type":"journal_article","publication":"Annales Henri Poincaré","doi":"10.1007/s00023-023-01379-x","title":"Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models","author":[{"full_name":"Delarue, Benjamin","id":"70575","last_name":"Delarue","first_name":"Benjamin"},{"first_name":"Philipp","last_name":"Schütte","id":"50168","full_name":"Schütte, Philipp"},{"first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178","full_name":"Weich, Tobias"}],"date_created":"2024-04-11T12:30:14Z","volume":25,"publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-11T12:37:34Z","citation":{"mla":"Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","short":"B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.","bibtex":"@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>}, number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich, Tobias}, year={2023}, pages={1607–1656} }","apa":"Delarue, B., Schütte, P., &#38; Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>, <i>25</i>(2), 1607–1656. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>","ieee":"B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, pp. 1607–1656, 2023, doi: <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","chicago":"Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i> 25, no. 2 (2023): 1607–56. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>.","ama":"Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>. 2023;25(2):1607-1656. doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>"},"intvolume":"        25","page":"1607-1656","year":"2023","issue":"2","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]}},{"title":"A Riemann-Roch formula for singular reductions by circle actions","date_updated":"2024-04-11T12:37:09Z","date_created":"2024-04-11T12:30:42Z","author":[{"last_name":"Delarue","full_name":"Delarue, Benjamin","id":"70575","first_name":"Benjamin"},{"first_name":"Louis","full_name":"Ioos, Louis","last_name":"Ioos"},{"full_name":"Ramacher, Pablo","last_name":"Ramacher","first_name":"Pablo"}],"year":"2023","citation":{"ieee":"B. Delarue, L. Ioos, and P. Ramacher, “A Riemann-Roch formula for singular reductions by circle actions,” <i>arXiv:2302.09894</i>. 2023.","chicago":"Delarue, Benjamin, Louis Ioos, and Pablo Ramacher. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” <i>ArXiv:2302.09894</i>, 2023.","ama":"Delarue B, Ioos L, Ramacher P. A Riemann-Roch formula for singular reductions by circle actions. <i>arXiv:230209894</i>. Published online 2023.","apa":"Delarue, B., Ioos, L., &#38; Ramacher, P. (2023). A Riemann-Roch formula for singular reductions by circle actions. In <i>arXiv:2302.09894</i>.","short":"B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023).","bibtex":"@article{Delarue_Ioos_Ramacher_2023, title={A Riemann-Roch formula for singular reductions by circle actions}, journal={arXiv:2302.09894}, author={Delarue, Benjamin and Ioos, Louis and Ramacher, Pablo}, year={2023} }","mla":"Delarue, Benjamin, et al. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” <i>ArXiv:2302.09894</i>, 2023."},"language":[{"iso":"eng"}],"_id":"53411","external_id":{"arxiv":["2302.09894"]},"user_id":"70575","department":[{"_id":"548"}],"abstract":[{"lang":"eng","text":"We compute a Riemann-Roch formula for the invariant Riemann-Roch number of a\r\nquantizable Hamiltonian $S^1$-manifold $(M,\\omega,\\mathcal{J})$ in terms of the\r\ngeometry of its symplectic quotient, allowing $0$ to be a singular value of the\r\nmoment map $\\mathcal{J}:M\\to\\mathbb{R}$. The formula involves a new explicit\r\nlocal invariant of the singularities. Our approach relies on a complete\r\nsingular stationary phase expansion of the associated Witten integral."}],"status":"public","type":"preprint","publication":"arXiv:2302.09894"},{"date_created":"2024-04-17T13:17:37Z","author":[{"first_name":"Efthymia","full_name":"Papageorgiou, Efthymia","id":"100325","last_name":"Papageorgiou"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-17T13:19:59Z","doi":"10.1007/s11118-023-10109-1","title":"Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds","publication_status":"published","publication_identifier":{"issn":["0926-2601","1572-929X"]},"citation":{"bibtex":"@article{Papageorgiou_2023, title={Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds}, DOI={<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>}, journal={Potential Analysis}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }","mla":"Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds.” <i>Potential Analysis</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>.","short":"E. Papageorgiou, Potential Analysis (2023).","apa":"Papageorgiou, E. (2023). Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds. <i>Potential Analysis</i>. <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">https://doi.org/10.1007/s11118-023-10109-1</a>","chicago":"Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds.” <i>Potential Analysis</i>, 2023. <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">https://doi.org/10.1007/s11118-023-10109-1</a>.","ieee":"E. Papageorgiou, “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds,” <i>Potential Analysis</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>.","ama":"Papageorgiou E. Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds. <i>Potential Analysis</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>"},"year":"2023","user_id":"100325","department":[{"_id":"555"}],"_id":"53540","language":[{"iso":"eng"}],"keyword":["Analysis"],"type":"journal_article","publication":"Potential Analysis","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>This note is concerned with two families of operators related to the fractional Laplacian, the first arising from the Caffarelli-Silvestre extension problem and the second from the fractional heat equation. They both include the Poisson semigroup. We show that on a complete, connected, and non-compact Riemannian manifold of non-negative Ricci curvature, in both cases, the solution with <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> initial data behaves asymptotically as the mass times the fundamental solution. Similar long-time convergence results remain valid on more general manifolds satisfying the Li-Yau two-sided estimate of the heat kernel. The situation changes drastically on hyperbolic space, and more generally on rank one non-compact symmetric spaces: we show that for the Poisson semigroup, the convergence to the Poisson kernel fails -but remains true under the additional assumption of radial initial data.</jats:p>","lang":"eng"}]},{"date_updated":"2024-04-17T13:17:10Z","publisher":"Springer Science and Business Media LLC","author":[{"first_name":"Efthymia","last_name":"Papageorgiou","id":"100325","full_name":"Papageorgiou, Efthymia"}],"date_created":"2024-04-17T13:16:39Z","title":"Asymptotics for the infinite Brownian loop on noncompact symmetric spaces","doi":"10.1007/s41808-023-00250-8","publication_status":"published","publication_identifier":{"issn":["2296-9020","2296-9039"]},"year":"2023","citation":{"apa":"Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">https://doi.org/10.1007/s41808-023-00250-8</a>","bibtex":"@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian loop on noncompact symmetric spaces}, DOI={<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }","short":"E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).","mla":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>.","ieee":"E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact symmetric spaces,” <i>Journal of Elliptic and Parabolic Equations</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>.","chicago":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, 2023. <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">https://doi.org/10.1007/s41808-023-00250-8</a>.","ama":"Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>"},"_id":"53539","user_id":"100325","department":[{"_id":"555"}],"keyword":["Applied Mathematics","Numerical Analysis","Analysis"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Journal of Elliptic and Parabolic Equations","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length <jats:italic>T</jats:italic> around a fixed origin when <jats:inline-formula><jats:alternatives><jats:tex-math>$$T \\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>T</mml:mi>\r\n                  <mml:mo>→</mml:mo>\r\n                  <mml:mo>+</mml:mo>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>. The aim of this note is to study its long-time asymptotics on Riemannian symmetric spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic> of noncompact type and of general rank. This amounts to the behavior of solutions to the heat equation subject to the Doob transform induced by the ground spherical function. Unlike the standard Brownian motion, we observe in this case phenomena which are similar to the Euclidean setting, namely <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> asymptotic convergence without requiring bi-<jats:italic>K</jats:italic>-invariance for initial data, and strong <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^{\\infty }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> convergence.</jats:p>"}],"status":"public"},{"language":[{"iso":"eng"}],"keyword":["General Mathematics"],"user_id":"100325","department":[{"_id":"555"}],"_id":"53538","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In Fotiadis and Daskaloyannis (Nonlinear Anal 214, 112546, 2022), harmonic maps are related to the sinh-Gordon equation and a Bäcklund transformation is introduced, which connects solutions of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order to construct new harmonic maps to the hyperbolic plane.</jats:p>"}],"type":"journal_article","publication":"Revista Matemática Complutense","doi":"10.1007/s13163-023-00476-z","title":"New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation","date_created":"2024-04-17T13:15:07Z","author":[{"full_name":"Polychrou, G.","last_name":"Polychrou","first_name":"G."},{"first_name":"Efthymia","id":"100325","full_name":"Papageorgiou, Efthymia","last_name":"Papageorgiou"},{"first_name":"A.","last_name":"Fotiadis","full_name":"Fotiadis, A."},{"first_name":"C.","last_name":"Daskaloyannis","full_name":"Daskaloyannis, C."}],"date_updated":"2024-04-17T13:15:51Z","publisher":"Springer Science and Business Media LLC","citation":{"apa":"Polychrou, G., Papageorgiou, E., Fotiadis, A., &#38; Daskaloyannis, C. (2023). New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. <i>Revista Matemática Complutense</i>. <a href=\"https://doi.org/10.1007/s13163-023-00476-z\">https://doi.org/10.1007/s13163-023-00476-z</a>","short":"G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática Complutense (2023).","mla":"Polychrou, G., et al. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” <i>Revista Matemática Complutense</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s13163-023-00476-z\">10.1007/s13163-023-00476-z</a>.","bibtex":"@article{Polychrou_Papageorgiou_Fotiadis_Daskaloyannis_2023, title={New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation}, DOI={<a href=\"https://doi.org/10.1007/s13163-023-00476-z\">10.1007/s13163-023-00476-z</a>}, journal={Revista Matemática Complutense}, publisher={Springer Science and Business Media LLC}, author={Polychrou, G. and Papageorgiou, Efthymia and Fotiadis, A. and Daskaloyannis, C.}, year={2023} }","chicago":"Polychrou, G., Efthymia Papageorgiou, A. Fotiadis, and C. Daskaloyannis. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” <i>Revista Matemática Complutense</i>, 2023. <a href=\"https://doi.org/10.1007/s13163-023-00476-z\">https://doi.org/10.1007/s13163-023-00476-z</a>.","ieee":"G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation,” <i>Revista Matemática Complutense</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s13163-023-00476-z\">10.1007/s13163-023-00476-z</a>.","ama":"Polychrou G, Papageorgiou E, Fotiadis A, Daskaloyannis C. New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. <i>Revista Matemática Complutense</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s13163-023-00476-z\">10.1007/s13163-023-00476-z</a>"},"year":"2023","publication_status":"published","publication_identifier":{"issn":["1139-1138","1988-2807"]}},{"year":"2023","citation":{"apa":"Brennecken, D., &#38; Rösler, M. (2023). The Dunkl-Laplace transform and Macdonald’s hypergeometric series. <i>Transactions of the American Mathematical Society</i>, <i>376</i>(4), 2419–2447. <a href=\"https://doi.org/10.1090/tran/8860\">https://doi.org/10.1090/tran/8860</a>","mla":"Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s Hypergeometric Series.” <i>Transactions of the American Mathematical Society</i>, vol. 376, no. 4,  American Mathematical Society, 2023, pp. 2419–47, doi:<a href=\"https://doi.org/10.1090/tran/8860\">10.1090/tran/8860</a>.","bibtex":"@article{Brennecken_Rösler_2023, title={The Dunkl-Laplace transform and Macdonald’s hypergeometric series}, volume={376}, DOI={<a href=\"https://doi.org/10.1090/tran/8860\">10.1090/tran/8860</a>}, number={4}, journal={Transactions of the American Mathematical Society}, publisher={ American Mathematical Society}, author={Brennecken, Dominik and Rösler, Margit}, year={2023}, pages={2419–2447} }","short":"D. Brennecken, M. Rösler, Transactions of the American Mathematical Society 376 (2023) 2419–2447.","chicago":"Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s Hypergeometric Series.” <i>Transactions of the American Mathematical Society</i> 376, no. 4 (2023): 2419–47. <a href=\"https://doi.org/10.1090/tran/8860\">https://doi.org/10.1090/tran/8860</a>.","ieee":"D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s hypergeometric series,” <i>Transactions of the American Mathematical Society</i>, vol. 376, no. 4, pp. 2419–2447, 2023, doi: <a href=\"https://doi.org/10.1090/tran/8860\">10.1090/tran/8860</a>.","ama":"Brennecken D, Rösler M. The Dunkl-Laplace transform and Macdonald’s hypergeometric series. <i>Transactions of the American Mathematical Society</i>. 2023;376(4):2419-2447. doi:<a href=\"https://doi.org/10.1090/tran/8860\">10.1090/tran/8860</a>"},"page":"2419-2447","intvolume":"       376","publication_status":"published","issue":"4","title":"The Dunkl-Laplace transform and Macdonald’s hypergeometric series","doi":"10.1090/tran/8860","publisher":" American Mathematical Society","date_updated":"2024-04-24T12:47:49Z","author":[{"first_name":"Dominik","id":"55911","full_name":"Brennecken, Dominik","last_name":"Brennecken"},{"first_name":"Margit","full_name":"Rösler, Margit","id":"37390","last_name":"Rösler"}],"date_created":"2023-01-12T08:32:44Z","volume":376,"status":"public","type":"journal_article","publication":"Transactions of the American Mathematical Society","language":[{"iso":"eng"}],"_id":"36294","user_id":"37390","department":[{"_id":"555"}]},{"status":"public","type":"journal_article","publication":"BIT Numerical Mathematics","article_number":"50","language":[{"iso":"eng"}],"external_id":{"arxiv":["2207.11141"]},"_id":"34803","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"year":"2023","citation":{"ama":"Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism groups for optimal shape reparametrization. <i>BIT Numerical Mathematics</i>. 2023;63. doi:<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>","ieee":"E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks on diffeomorphism groups for optimal shape reparametrization,” <i>BIT Numerical Mathematics</i>, vol. 63, Art. no. 50, 2023, doi: <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>.","chicago":"Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” <i>BIT Numerical Mathematics</i> 63 (2023). <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">https://doi.org/10.1007/s10543-023-00989-05</a>.","bibtex":"@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>}, number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni, Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023} }","short":"E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics 63 (2023).","mla":"Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” <i>BIT Numerical Mathematics</i>, vol. 63, 50, Springer, 2023, doi:<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>.","apa":"Celledoni, E., Glöckner, H., Riseth, J., &#38; Schmeding, A. (2023). Deep neural networks on diffeomorphism groups for optimal shape reparametrization. <i>BIT Numerical Mathematics</i>, <i>63</i>, Article 50. <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">https://doi.org/10.1007/s10543-023-00989-05</a>"},"intvolume":"        63","quality_controlled":"1","title":"Deep neural networks on diffeomorphism groups for optimal shape reparametrization","doi":"10.1007/s10543-023-00989-05","publisher":"Springer","date_updated":"2024-08-09T08:48:06Z","author":[{"last_name":"Celledoni","full_name":"Celledoni, Elena","first_name":"Elena"},{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"},{"first_name":"Jørgen","last_name":"Riseth","full_name":"Riseth, Jørgen"},{"last_name":"Schmeding","full_name":"Schmeding, Alexander","first_name":"Alexander"}],"date_created":"2022-12-22T07:37:20Z","volume":63},{"title":"Diffeomorphism groups of convex polytopes","date_created":"2022-12-22T07:45:13Z","publisher":"Heldermann","year":"2023","issue":"1","quality_controlled":"1","language":[{"iso":"eng"}],"external_id":{"arxiv":["2203.09285"]},"abstract":[{"text":"Let $E$ be a finite-dimensional real vector space and $M\\subseteq E$ be a\r\nconvex polytope with non-empty interior. We turn the group of all\r\n$C^\\infty$-diffeomorphisms of $M$ into a regular Lie group.","lang":"eng"}],"publication":"Journal of Convex Analysis","author":[{"first_name":"Helge","last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge"}],"volume":30,"date_updated":"2024-08-09T08:49:17Z","citation":{"mla":"Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal of Convex Analysis</i>, vol. 30, no. 1, Heldermann, 2023, pp. 343–58.","short":"H. Glöckner, Journal of Convex Analysis 30 (2023) 343–358.","bibtex":"@article{Glöckner_2023, title={Diffeomorphism groups of convex polytopes}, volume={30}, number={1}, journal={Journal of Convex Analysis}, publisher={Heldermann}, author={Glöckner, Helge}, year={2023}, pages={343–358} }","apa":"Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. <i>Journal of Convex Analysis</i>, <i>30</i>(1), 343–358.","ama":"Glöckner H. Diffeomorphism groups of convex polytopes. <i>Journal of Convex Analysis</i>. 2023;30(1):343-358.","ieee":"H. Glöckner, “Diffeomorphism groups of convex polytopes,” <i>Journal of Convex Analysis</i>, vol. 30, no. 1, pp. 343–358, 2023.","chicago":"Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal of Convex Analysis</i> 30, no. 1 (2023): 343–58."},"page":"343-358","intvolume":"        30","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"34805","status":"public","type":"journal_article"},{"type":"journal_article","publication":"Journal of Lie Theory","status":"public","external_id":{"arxiv":["2210.01246"]},"_id":"34801","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"language":[{"iso":"eng"}],"quality_controlled":"1","issue":"1","year":"2023","citation":{"ama":"Glöckner H, Tárrega L. Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>. 2023;33(1):271-296.","ieee":"H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ,” <i>Journal of Lie Theory</i>, vol. 33, no. 1, pp. 271–296, 2023.","chicago":"Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i> 33, no. 1 (2023): 271–96.","apa":"Glöckner, H., &#38; Tárrega, L. (2023). Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>, <i>33</i>(1), 271–296.","bibtex":"@article{Glöckner_Tárrega_2023, title={Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups }, volume={33}, number={1}, journal={Journal of Lie Theory}, publisher={Heldermann}, author={Glöckner, Helge and Tárrega, Luis}, year={2023}, pages={271–296} }","mla":"Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i>, vol. 33, no. 1, Heldermann, 2023, pp. 271–96.","short":"H. Glöckner, L. 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