{"date_updated":"2023-07-24T07:53:47Z","publication":"arXiv:2011.06434","abstract":[{"lang":"eng","text":"The kinetic Brownian motion on the sphere bundle of a Riemannian manifold $M$\nis a stochastic process that models a random perturbation of the geodesic flow.\nIf $M$ is a orientable compact constantly curved surface, we show that in the\nlimit of infinitely large perturbation the $L^2$-spectrum of the infinitesimal\ngenerator of a time rescaled version of the process converges to the Laplace\nspectrum of the base manifold."}],"title":"Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant\n  Curvature","author":[{"first_name":"Martin","last_name":"Kolb","full_name":"Kolb, Martin"},{"last_name":"Weich","full_name":"Weich, Tobias","first_name":"Tobias"},{"last_name":"Wolf","full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart"}],"year":"2020","user_id":"45027","_id":"31192","status":"public","date_created":"2022-05-11T10:42:11Z","external_id":{"arxiv":["2011.06434"]},"citation":{"ama":"Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant   Curvature. <i>arXiv:201106434</i>. Published online 2020.","apa":"Kolb, M., Weich, T., &#38; Wolf, L. L. (2020). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant   Curvature. In <i>arXiv:2011.06434</i>.","ieee":"M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant   Curvature,” <i>arXiv:2011.06434</i>. 2020.","bibtex":"@article{Kolb_Weich_Wolf_2020, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant   Curvature}, journal={arXiv:2011.06434}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}, year={2020} }","chicago":"Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant  Curvature.” <i>ArXiv:2011.06434</i>, 2020.","mla":"Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant  Curvature.” <i>ArXiv:2011.06434</i>, 2020.","short":"M. Kolb, T. Weich, L.L. Wolf, ArXiv:2011.06434 (2020)."},"type":"preprint"}