2021
DOI: 10.1007/s00023-021-01121-5
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Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature

Abstract: The kinetic Brownian motion on the sphere bundle of a Riemannian manifold $$\mathbb {M}$$ M is a stochastic process that models a random perturbation of the geodesic flow. If $$\mathbb {M}$$ M is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the $$L^2$$ L 2 -spectrum of the infinitesimal generator of a tim… Show more

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