{"publication_status":"published","date_updated":"2022-09-08T06:06:13Z","intvolume":"        23","title":"Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature","year":"2021","author":[{"id":"48880","full_name":"Kolb, Martin","first_name":"Martin","last_name":"Kolb"},{"first_name":"Tobias","last_name":"Weich","full_name":"Weich, Tobias"},{"last_name":"Wolf","first_name":"Lasse","full_name":"Wolf, Lasse"}],"main_file_link":[{"url":"https://link.springer.com/article/10.1007/s00023-021-01121-5","open_access":"1"}],"language":[{"iso":"eng"}],"related_material":{"link":[{"url":"https://link.springer.com/article/10.1007/s00023-021-01121-5","relation":"contains"}]},"abstract":[{"text":"The kinetic Brownian motion on the sphere bundle of a Riemannian manifold M is a stochastic process that models a random perturbation of the geodesic flow. If M is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the L2-spectrum of the infinitesimal generator of a time-rescaled version of the process converges to the Laplace spectrum of the base manifold.","lang":"eng"}],"issue":"4","publication":"Annales Henri Poincaré ","type":"journal_article","department":[{"_id":"96"}],"date_created":"2022-09-07T07:05:33Z","status":"public","user_id":"85821","volume":23,"page":"1283-1296","_id":"33278","publisher":"Springer Science + Business Media","citation":{"ieee":"M. Kolb, T. Weich, and 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, 2021.","apa":"Kolb, M., Weich, T., &#38; Wolf, L. (2021). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. <i>Annales Henri Poincaré </i>, <i>23</i>(4), 1283–1296.","chicago":"Kolb, Martin, Tobias Weich, and Lasse Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” <i>Annales Henri Poincaré </i> 23, no. 4 (2021): 1283–96.","short":"M. Kolb, T. Weich, L. Wolf, Annales Henri Poincaré  23 (2021) 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 + Business Media, 2021, pp. 1283–96.","bibtex":"@article{Kolb_Weich_Wolf_2021, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature}, volume={23}, number={4}, journal={Annales Henri Poincaré }, publisher={Springer Science + Business Media}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse}, year={2021}, pages={1283–1296} }","ama":"Kolb M, Weich T, Wolf L. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. <i>Annales Henri Poincaré </i>. 2021;23(4):1283-1296."},"oa":"1"}