{"issue":"4","department":[{"_id":"548"}],"doi":"10.1007/s00023-021-01121-5","keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"publication_identifier":{"issn":["1424-0637","1424-0661"]},"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The kinetic Brownian motion on the sphere bundle of a Riemannian manifold <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mathbb {M}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>M</mml:mi>\r\n                </mml:math></jats:alternatives></jats:inline-formula> is a stochastic process that models a random perturbation of the geodesic flow. If <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mathbb {M}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>M</mml:mi>\r\n                </mml:math></jats:alternatives></jats:inline-formula> is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^2$$</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>2</mml:mn>\r\n                  </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula>-spectrum of the infinitesimal generator of a time-rescaled version of the process converges to the Laplace spectrum of the base manifold.</jats:p>"}],"citation":{"ama":"Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. <i>Annales Henri Poincaré</i>. 2022;23(4):1283-1296. doi:<a href=\"https://doi.org/10.1007/s00023-021-01121-5\">10.1007/s00023-021-01121-5</a>","apa":"Kolb, M., Weich, T., &#38; Wolf, L. L. (2022). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. <i>Annales Henri Poincaré</i>, <i>23</i>(4), 1283–1296. <a href=\"https://doi.org/10.1007/s00023-021-01121-5\">https://doi.org/10.1007/s00023-021-01121-5</a>","ieee":"M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature,” <i>Annales Henri Poincaré</i>, vol. 23, no. 4, pp. 1283–1296, 2022, doi: <a href=\"https://doi.org/10.1007/s00023-021-01121-5\">10.1007/s00023-021-01121-5</a>.","short":"M. Kolb, T. Weich, L.L. Wolf, Annales Henri Poincaré 23 (2022) 1283–1296.","mla":"Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” <i>Annales Henri Poincaré</i>, vol. 23, no. 4, Springer Science and Business Media LLC, 2022, pp. 1283–96, doi:<a href=\"https://doi.org/10.1007/s00023-021-01121-5\">10.1007/s00023-021-01121-5</a>.","chicago":"Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” <i>Annales Henri Poincaré</i> 23, no. 4 (2022): 1283–96. <a href=\"https://doi.org/10.1007/s00023-021-01121-5\">https://doi.org/10.1007/s00023-021-01121-5</a>.","bibtex":"@article{Kolb_Weich_Wolf_2022, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature}, volume={23}, DOI={<a href=\"https://doi.org/10.1007/s00023-021-01121-5\">10.1007/s00023-021-01121-5</a>}, number={4}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}, year={2022}, pages={1283–1296} }"},"year":"2022","_id":"31193","publication":"Annales Henri Poincaré","date_created":"2022-05-11T10:46:10Z","intvolume":"        23","type":"journal_article","date_updated":"2023-01-06T08:59:03Z","publication_status":"published","volume":23,"external_id":{"arxiv":["arXiv:2011.06434"]},"publisher":"Springer Science and Business Media LLC","status":"public","author":[{"full_name":"Kolb, Martin","id":"48880","last_name":"Kolb","first_name":"Martin"},{"orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178","first_name":"Tobias","last_name":"Weich"},{"full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart","last_name":"Wolf","id":"45027"}],"page":"1283-1296","user_id":"49178","title":"Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature"}