2020/11/12 by Martin Kolb, Kolb, Martin, Tobias Weich +3
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Probability (math.PR) #Spectral Theory (math.SP) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2011.06434
openalex publication_date 2020/11/12 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
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 L2-spectrum of the infinitesimal\ngenerator of a time rescaled version of the process converges to the Laplace\nspectrum of the base manifold.\n