[{"abstract":[{"text":"We prove Feynman-Kac formulas for the semigroups generated by selfadjoint\r\noperators in a class containing Fr\\\"ohlich Hamiltonians known from solid state\r\nphysics. The latter model multi-polarons, i.e., a fixed number of quantum\r\nmechanical electrons moving in a polarizable crystal and interacting with the\r\nquantized phonon field generated by the crystal's vibrational modes. Both the\r\nelectrons and phonons can be confined to suitable open subsets of Euclidean\r\nspace. We also include possibly very singular magnetic vector potentials and\r\nelectrostatic potentials. Our Feynman-Kac formulas comprise Fock space\r\noperator-valued multiplicative functionals and can be applied to every vector\r\nin the underlying Hilbert space. In comparison to the renormalized Nelson\r\nmodel, for which analogous Feynman-Kac formulas are known, the analysis of the\r\ncreation and annihilation terms in the multiplicative functionals requires\r\nnovel ideas to overcome difficulties caused by the phonon dispersion relation\r\nbeing constant. Getting these terms under control and generalizing other\r\nconstruction steps so as to cover confined systems are the main achievements of\r\nthis article.","lang":"eng"}],"status":"public","type":"preprint","publication":"arXiv:2403.12147","language":[{"iso":"eng"}],"_id":"52691","external_id":{"arxiv":["2403.12147"]},"user_id":"99427","department":[{"_id":"799"}],"year":"2024","citation":{"ieee":"B. Hinrichs and O. Matte, “Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains,” <i>arXiv:2403.12147</i>. 2024.","chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” <i>ArXiv:2403.12147</i>, 2024.","ama":"Hinrichs B, Matte O. Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. <i>arXiv:240312147</i>. Published online 2024.","apa":"Hinrichs, B., &#38; Matte, O. (2024). Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. In <i>arXiv:2403.12147</i>.","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” <i>ArXiv:2403.12147</i>, 2024.","bibtex":"@article{Hinrichs_Matte_2024, title={Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains}, journal={arXiv:2403.12147}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2024} }","short":"B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024)."},"title":"Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains","date_updated":"2024-03-20T14:56:50Z","date_created":"2024-03-20T14:56:05Z","author":[{"orcid":"0000-0001-9074-1205","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin","id":"99427","first_name":"Benjamin"},{"first_name":"Oliver","full_name":"Matte, Oliver","last_name":"Matte"}]},{"_id":"53542","user_id":"100325","department":[{"_id":"555"}],"article_number":"34","type":"journal_article","status":"public","date_updated":"2024-04-17T13:20:29Z","author":[{"first_name":"Efthymia","last_name":"Papageorgiou","full_name":"Papageorgiou, Efthymia","id":"100325"}],"volume":24,"doi":"10.1007/s00028-024-00959-6","publication_status":"published","publication_identifier":{"issn":["1424-3199","1424-3202"]},"citation":{"apa":"Papageorgiou, E. (2024). Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. <i>Journal of Evolution Equations</i>, <i>24</i>(2), Article 34. <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">https://doi.org/10.1007/s00028-024-00959-6</a>","bibtex":"@article{Papageorgiou_2024, title={Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces}, volume={24}, DOI={<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>}, number={234}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2024} }","mla":"Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, 34, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>.","short":"E. Papageorgiou, Journal of Evolution Equations 24 (2024).","ieee":"E. Papageorgiou, “Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces,” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, Art. no. 34, 2024, doi: <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>.","chicago":"Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” <i>Journal of Evolution Equations</i> 24, no. 2 (2024). <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">https://doi.org/10.1007/s00028-024-00959-6</a>.","ama":"Papageorgiou E. Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. <i>Journal of Evolution Equations</i>. 2024;24(2). doi:<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>"},"intvolume":"        24","keyword":["Mathematics (miscellaneous)"],"language":[{"iso":"eng"}],"publication":"Journal of Evolution Equations","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>This work deals with the extension problem for the fractional Laplacian on Riemannian symmetric spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic> of noncompact type and of general rank, which gives rise to a family of convolution operators, including the Poisson operator. More precisely, motivated by Euclidean results for the Poisson semigroup, we study the long-time asymptotic behavior of solutions to the extension problem for <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. In the case of the Laplace–Beltrami operator, we show that if the initial data are bi-<jats:italic>K</jats:italic>-invariant, then the solution to the extension problem behaves asymptotically as the mass times the fundamental solution, but this convergence may break down in the non-bi-<jats:italic>K</jats:italic>-invariant case. In the second part, we investigate the long-time asymptotic behavior of the extension problem associated with the so-called distinguished Laplacian on <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic>. In this case, we observe phenomena which are similar to the Euclidean setting for the Poisson semigroup, such as <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 the assumption of bi-<jats:italic>K</jats:italic>-invariance.</jats:p>","lang":"eng"}],"publisher":"Springer Science and Business Media LLC","date_created":"2024-04-17T13:18:30Z","title":"Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces","issue":"2","year":"2024"},{"title":"Temperedness of locally symmetric spaces: The product case","doi":"https://doi.org/10.1007/s10711-024-00904-4","date_updated":"2024-05-07T11:44:34Z","volume":218,"date_created":"2024-02-06T21:00:55Z","author":[{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178","full_name":"Weich, Tobias"},{"first_name":"Lasse Lennart","last_name":"Wolf","orcid":"0000-0001-8893-2045","full_name":"Wolf, Lasse Lennart","id":"45027"}],"year":"2024","intvolume":"       218","citation":{"chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i> 218 (2024). <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” <i>Geom Dedicata</i>, vol. 218, Art. no. 76, 2024, doi: <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>. 2024;218. doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>","short":"T. Weich, L.L. Wolf, Geom Dedicata 218 (2024).","mla":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i>, vol. 218, 76, 2024, doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","bibtex":"@article{Weich_Wolf_2024, title={Temperedness of locally symmetric spaces: The product case}, volume={218}, DOI={<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>}, number={76}, journal={Geom Dedicata}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2024} }","apa":"Weich, T., &#38; Wolf, L. L. (2024). Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>, <i>218</i>, Article 76. <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>"},"article_number":"76","language":[{"iso":"eng"}],"_id":"51207","external_id":{"arxiv":["2304.09573"]},"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"user_id":"45027","abstract":[{"text":"Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$.","lang":"eng"}],"status":"public","publication":"Geom Dedicata","type":"journal_article"},{"status":"public","type":"book","language":[{"iso":"ger"}],"_id":"55193","user_id":"220","department":[{"_id":"97"},{"_id":"643"},{"_id":"548"}],"place":"Berlin, Heidelberg","year":"2024","citation":{"bibtex":"@book{Hoffmann_Hilgert_Weich_2024, place={Berlin, Heidelberg}, title={Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-67357-7\">10.1007/978-3-662-67357-7</a>}, publisher={Springer Berlin Heidelberg}, author={Hoffmann, Max and Hilgert, Joachim and Weich, Tobias}, year={2024} }","short":"M. Hoffmann, J. Hilgert, T. Weich, Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.","mla":"Hoffmann, Max, et al. <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Springer Berlin Heidelberg, 2024, doi:<a href=\"https://doi.org/10.1007/978-3-662-67357-7\">10.1007/978-3-662-67357-7</a>.","apa":"Hoffmann, M., Hilgert, J., &#38; Weich, T. (2024). <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/978-3-662-67357-7\">https://doi.org/10.1007/978-3-662-67357-7</a>","ieee":"M. Hoffmann, J. Hilgert, and T. Weich, <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2024.","chicago":"Hoffmann, Max, Joachim Hilgert, and Tobias Weich. <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2024. <a href=\"https://doi.org/10.1007/978-3-662-67357-7\">https://doi.org/10.1007/978-3-662-67357-7</a>.","ama":"Hoffmann M, Hilgert J, Weich T. <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Springer Berlin Heidelberg; 2024. doi:<a href=\"https://doi.org/10.1007/978-3-662-67357-7\">10.1007/978-3-662-67357-7</a>"},"publication_status":"published","publication_identifier":{"isbn":["9783662673560","9783662673577"]},"title":"Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik","doi":"10.1007/978-3-662-67357-7","date_updated":"2024-08-08T08:05:30Z","publisher":"Springer Berlin Heidelberg","date_created":"2024-07-12T08:36:42Z","author":[{"first_name":"Max","id":"32202","full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123","last_name":"Hoffmann"},{"full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert","first_name":"Joachim"},{"first_name":"Tobias","id":"49178","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich"}]},{"title":"Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting","doi":"10.1016/j.jmaa.2024.128125","publisher":"Elsevier BV","date_updated":"2024-09-03T14:40:46Z","author":[{"first_name":"Dominik","last_name":"Brennecken","id":"55911","full_name":"Brennecken, Dominik"}],"date_created":"2024-04-05T13:55:33Z","volume":535,"year":"2024","citation":{"ama":"Brennecken D. Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting. <i>Journal of Mathematical Analysis and Applications</i>. 2024;535(2). doi:<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>","ieee":"D. Brennecken, “Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 535, no. 2, Art. no. 128125, 2024, doi: <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>.","chicago":"Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions in the Dunkl Setting.” <i>Journal of Mathematical Analysis and Applications</i> 535, no. 2 (2024). <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">https://doi.org/10.1016/j.jmaa.2024.128125</a>.","bibtex":"@article{Brennecken_2024, title={Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting}, volume={535}, DOI={<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>}, number={2128125}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Brennecken, Dominik}, year={2024} }","short":"D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024).","mla":"Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions in the Dunkl Setting.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 535, no. 2, 128125, Elsevier BV, 2024, doi:<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>.","apa":"Brennecken, D. (2024). Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting. <i>Journal of Mathematical Analysis and Applications</i>, <i>535</i>(2), Article 128125. <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">https://doi.org/10.1016/j.jmaa.2024.128125</a>"},"intvolume":"       535","publication_status":"published","publication_identifier":{"issn":["0022-247X"]},"issue":"2","article_number":"128125","keyword":["Applied Mathematics","Analysis"],"language":[{"iso":"eng"}],"_id":"53300","user_id":"55911","department":[{"_id":"555"}],"status":"public","type":"journal_article","publication":"Journal of Mathematical Analysis and Applications"},{"type":"book_chapter","publication":"Women in Analysis and PDE","status":"public","editor":[{"last_name":"Chatzakou","full_name":"Chatzakou, Marianna","first_name":"Marianna"},{"first_name":"Michael","full_name":"Ruzhansky, Michael","last_name":"Ruzhansky"},{"first_name":"Diana","full_name":"Stoeva, Diana","last_name":"Stoeva"}],"series_title":"Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente","user_id":"82981","department":[{"_id":"555"}],"_id":"56001","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"isbn":["978-3-031-57004-9"]},"citation":{"apa":"Brennecken, D., &#38; Rösler, M. (2024). The Laplace transform in Dunkl theory. In M. Chatzakou, M. Ruzhansky, &#38; D. Stoeva (Eds.), <i>Women in Analysis and PDE</i> (Vol. 5, p. 425). Birkhäuser Cham.","short":"D. Brennecken, M. Rösler, in: M. Chatzakou, M. Ruzhansky, D. Stoeva (Eds.), Women in Analysis and PDE, Birkhäuser Cham, 2024, p. 425.","bibtex":"@inbook{Brennecken_Rösler_2024, series={Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente}, title={The Laplace transform in Dunkl theory}, volume={5}, booktitle={Women in Analysis and PDE}, publisher={Birkhäuser Cham}, author={Brennecken, Dominik and Rösler, Margit}, editor={Chatzakou, Marianna and Ruzhansky, Michael and Stoeva, Diana}, year={2024}, pages={425}, collection={Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente} }","mla":"Brennecken, Dominik, and Margit Rösler. “The Laplace Transform in Dunkl Theory.” <i>Women in Analysis and PDE</i>, edited by Marianna Chatzakou et al., vol. 5, Birkhäuser Cham, 2024, p. 425.","chicago":"Brennecken, Dominik, and Margit Rösler. “The Laplace Transform in Dunkl Theory.” In <i>Women in Analysis and PDE</i>, edited by Marianna Chatzakou, Michael Ruzhansky, and Diana Stoeva, 5:425. Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente. Birkhäuser Cham, 2024.","ieee":"D. Brennecken and M. Rösler, “The Laplace transform in Dunkl theory,” in <i>Women in Analysis and PDE</i>, vol. 5, M. Chatzakou, M. Ruzhansky, and D. Stoeva, Eds. Birkhäuser Cham, 2024, p. 425.","ama":"Brennecken D, Rösler M. The Laplace transform in Dunkl theory. In: Chatzakou M, Ruzhansky M, Stoeva D, eds. <i>Women in Analysis and PDE</i>. Vol 5. Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente. Birkhäuser Cham; 2024:425."},"intvolume":"         5","page":"425","year":"2024","author":[{"first_name":"Dominik","last_name":"Brennecken","full_name":"Brennecken, Dominik","id":"55911"},{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"}],"date_created":"2024-09-03T15:31:27Z","volume":5,"publisher":"Birkhäuser Cham","date_updated":"2024-09-05T06:58:54Z","title":"The Laplace transform in Dunkl theory"},{"language":[{"iso":"eng"}],"_id":"56114","external_id":{"arxiv":["2409.06512"]},"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"status":"public","type":"preprint","title":"Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups","date_updated":"2024-09-11T22:45:02Z","date_created":"2024-09-11T22:40:37Z","author":[{"full_name":"Pinaud, Matthieu","last_name":"Pinaud","first_name":"Matthieu"}],"year":"2024","citation":{"ieee":"M. Pinaud, “Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups.” 2024.","chicago":"Pinaud, Matthieu. “Manifolds of Absolutely Continuous Functions with Values in an Infinite-Dimensional Manifold and Regularity Properties of Half-Lie Groups,” 2024.","ama":"Pinaud M. Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups. Published online 2024.","apa":"Pinaud, M. (2024). <i>Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups</i>.","mla":"Pinaud, Matthieu. <i>Manifolds of Absolutely Continuous Functions with Values in an Infinite-Dimensional Manifold and Regularity Properties of Half-Lie Groups</i>. 2024.","short":"M. Pinaud, (2024).","bibtex":"@article{Pinaud_2024, title={Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups}, author={Pinaud, Matthieu}, year={2024} }"}},{"citation":{"mla":"Glöckner, Helge, et al. <i>Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability</i>. 2024.","bibtex":"@article{Glöckner_Grong_Schmeding_2024, title={Boundary values of diffeomorphisms of simple polytopes, and controllability}, author={Glöckner, Helge and Grong, Erlend and Schmeding, Alexander}, year={2024} }","short":"H. Glöckner, E. Grong, A. Schmeding, (2024).","apa":"Glöckner, H., Grong, E., &#38; Schmeding, A. (2024). <i>Boundary values of diffeomorphisms of simple polytopes, and controllability</i>.","ieee":"H. Glöckner, E. Grong, and A. Schmeding, “Boundary values of diffeomorphisms of simple polytopes, and controllability.” 2024.","chicago":"Glöckner, Helge, Erlend Grong, and Alexander Schmeding. “Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability,” 2024.","ama":"Glöckner H, Grong E, Schmeding A. Boundary values of diffeomorphisms of simple polytopes, and controllability. Published online 2024."},"year":"2024","author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"},{"first_name":"Erlend","last_name":"Grong","full_name":"Grong, Erlend"},{"first_name":"Alexander","full_name":"Schmeding, Alexander","last_name":"Schmeding"}],"date_created":"2024-09-11T22:50:56Z","date_updated":"2024-09-11T22:51:26Z","title":"Boundary values of diffeomorphisms of simple polytopes, and controllability","type":"preprint","status":"public","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","external_id":{"arxiv":["2407.05444"]},"_id":"56116","language":[{"iso":"eng"}]},{"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We discuss in which cases the Dunkl convolution  of distributions , possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions. Based on this, we are able to prove a theorem on elliptic regularity for a certain class of Dunkl operators, called elliptic Dunkl operators. Finally, for the root system  we consider the Riesz distributions  and prove that their Dunkl convolution exists and that  holds.</jats:p>"}],"status":"public","type":"journal_article","publication":"Mathematische Nachrichten","language":[{"iso":"eng"}],"_id":"56366","user_id":"55911","department":[{"_id":"555"}],"year":"2024","citation":{"ama":"Brennecken D. Dunkl convolution and elliptic regularity for Dunkl operators. <i>Mathematische Nachrichten</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1002/mana.202300370\">10.1002/mana.202300370</a>","ieee":"D. Brennecken, “Dunkl convolution and elliptic regularity for Dunkl operators,” <i>Mathematische Nachrichten</i>, 2024, doi: <a href=\"https://doi.org/10.1002/mana.202300370\">10.1002/mana.202300370</a>.","chicago":"Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” <i>Mathematische Nachrichten</i>, 2024. <a href=\"https://doi.org/10.1002/mana.202300370\">https://doi.org/10.1002/mana.202300370</a>.","bibtex":"@article{Brennecken_2024, title={Dunkl convolution and elliptic regularity for Dunkl operators}, DOI={<a href=\"https://doi.org/10.1002/mana.202300370\">10.1002/mana.202300370</a>}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Brennecken, Dominik}, year={2024} }","short":"D. Brennecken, Mathematische Nachrichten (2024).","mla":"Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” <i>Mathematische Nachrichten</i>, Wiley, 2024, doi:<a href=\"https://doi.org/10.1002/mana.202300370\">10.1002/mana.202300370</a>.","apa":"Brennecken, D. (2024). 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Soc.</i>, vol. 27, no. 8, 2024, pp. 3085–3147, doi:<a href=\"https://doi.org/10.4171/JEMS/1428\">https://doi.org/10.4171/JEMS/1428</a>.","bibtex":"@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor resonances of Anosov actions}, volume={27}, DOI={<a href=\"https://doi.org/10.4171/JEMS/1428\">https://doi.org/10.4171/JEMS/1428</a>}, number={8}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024}, pages={3085–3147} }","apa":"Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., &#38; Hilgert, J. (2024). Ruelle-Taylor resonances of Anosov actions. <i>J. Europ. Math. Soc.</i>, <i>27</i>(8), 3085–3147. <a href=\"https://doi.org/10.4171/JEMS/1428\">https://doi.org/10.4171/JEMS/1428</a>"},"intvolume":"        27","page":"3085–3147","author":[{"id":"49178","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","first_name":"Tobias"},{"last_name":"Guedes Bonthonneau","full_name":"Guedes Bonthonneau, Yannick","first_name":"Yannick"},{"first_name":"Colin","last_name":"Guillarmou","full_name":"Guillarmou, Colin"},{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"}],"volume":27,"oa":"1","date_updated":"2026-02-18T10:33:34Z","doi":"https://doi.org/10.4171/JEMS/1428","type":"journal_article","status":"public","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"_id":"32101","file_date_updated":"2022-06-22T09:56:47Z","issue":"8","year":"2024","date_created":"2022-06-22T09:56:51Z","title":"Ruelle-Taylor resonances of Anosov actions","publication":"J. Europ. Math. 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This generalizes results in the compact case by\r\nAnantharaman-Zelditch and Hansen-Hilgert-Schr\\\"oder.","lang":"eng"}],"status":"public","type":"preprint","publication":"arXiv:2411.19782","language":[{"iso":"eng"}],"project":[{"_id":"356","name":"TRR 358 - B02: TRR 358 - Spektraltheorie in höherem Rang und unendlichem Volumen (Teilprojekt B02)","grant_number":"491392403"}],"_id":"57582","external_id":{"arxiv":["2411.19782"]},"user_id":"109467","department":[{"_id":"10"},{"_id":"548"}],"year":"2024","citation":{"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} }","short":"B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).","apa":"Delarue, B., &#38; Palmirotta, G. (2024). Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. In <i>arXiv:2411.19782</i>.","ama":"Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. <i>arXiv:241119782</i>. Published online 2024.","ieee":"B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces,” <i>arXiv:2411.19782</i>. 2024.","chicago":"Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>, 2024."},"title":"Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces","date_updated":"2024-12-04T16:33:27Z","date_created":"2024-12-04T16:28:05Z","author":[{"full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin"},{"last_name":"Palmirotta","full_name":"Palmirotta, Guendalina","first_name":"Guendalina"}]},{"external_id":{"arxiv":["https://arxiv.org/abs/2103.12127"]},"language":[{"iso":"eng"}],"ddc":["510"],"publication":"Journal of Differential Geometry","file":[{"file_size":745870,"file_name":"2103.12127.pdf","access_level":"open_access","file_id":"32098","date_updated":"2022-06-22T09:56:08Z","date_created":"2022-06-22T09:56:08Z","creator":"weich","relation":"main_file","content_type":"application/pdf"}],"date_created":"2022-06-22T09:56:23Z","title":"SRB Measures of Anosov Actions","year":"2024","user_id":"49178","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"project":[{"grant_number":"491392403","_id":"358","name":"TRR 358 - Geodätische Flüsse und Weyl Kammer Flüsse auf affinen Gebäuden (Teilprojekt B04)"},{"name":"Mikrolokale Methoden für hyperbolische Dynamiken","_id":"355","grant_number":"422642921"}],"_id":"32097","file_date_updated":"2022-06-22T09:56:08Z","type":"journal_article","status":"public","author":[{"last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178","first_name":"Tobias"},{"first_name":"Yannick","full_name":"Guedes Bonthonneau, Yannick","last_name":"Guedes Bonthonneau"},{"full_name":"Guillarmou, Colin","last_name":"Guillarmou","first_name":"Colin"}],"volume":128,"date_updated":"2025-01-02T15:39:43Z","oa":"1","doi":" DOI: 10.4310/jdg/1729092452","has_accepted_license":"1","citation":{"ieee":"T. Weich, Y. Guedes Bonthonneau, and C. Guillarmou, “SRB Measures of Anosov Actions,” <i>Journal of Differential Geometry</i>, vol. 128, pp. 959–1026, 2024, doi: <a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\"> DOI: 10.4310/jdg/1729092452</a>.","chicago":"Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB Measures of Anosov Actions.” <i>Journal of Differential Geometry</i> 128 (2024): 959–1026. <a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\">https://doi.org/ DOI: 10.4310/jdg/1729092452</a>.","ama":"Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions. <i>Journal of Differential Geometry</i>. 2024;128:959-1026. doi:<a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\"> DOI: 10.4310/jdg/1729092452</a>","bibtex":"@article{Weich_Guedes Bonthonneau_Guillarmou_2024, title={SRB Measures of Anosov Actions}, volume={128}, DOI={<a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\"> DOI: 10.4310/jdg/1729092452</a>}, journal={Journal of Differential Geometry}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin}, year={2024}, pages={959–1026} }","short":"T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry 128 (2024) 959–1026.","mla":"Weich, Tobias, et al. “SRB Measures of Anosov Actions.” <i>Journal of Differential Geometry</i>, vol. 128, 2024, pp. 959–1026, doi:<a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\"> DOI: 10.4310/jdg/1729092452</a>.","apa":"Weich, T., Guedes Bonthonneau, Y., &#38; Guillarmou, C. (2024). SRB Measures of Anosov Actions. <i>Journal of Differential Geometry</i>, <i>128</i>, 959–1026. <a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\">https://doi.org/ DOI: 10.4310/jdg/1729092452</a>"},"intvolume":"       128","page":"959-1026"}]