Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature

Autor:	Kolb, Martin, Weich, Tobias, Wolf, Lasse Lennart
Rok vydání:	2020
Předmět:	Mathematics - Spectral Theory Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	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 a orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the $L^2$-spectrum of the infinitesimal generator of a time rescaled version of the process converges to the Laplace spectrum of the base manifold. Comment: This is a shortened version of arXiv:1909.06183 but generalized to all constant curvature surfaces instead of negatively curved surfaces
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.06434 Zobrazit plný text záznamu View this record from Arxiv