Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature

Martin Kolb, Tobias Weich, Lasse Lennart Wolf

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…