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math.SP2020★ 1 cited
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 is a stochastic process that models a random perturbation of the geodesic flow. If is a orientable…
math.SP2019★ 2 cited
Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces
Martin Kolb, Tobias Weich, Lasse Lennart Wolf
The kinetic Brownian motion on the sphere bundle of a Riemannian manifold is a stochastic process that models a random perturbation of the geodesic flow. If is a orientable…
math.SP2015
Spectral analysis of the diffusion operator with random jumps from the boundary
Martin Kolb, David Krejcirik
Using an operator-theoretic framework in a Hilbert-space setting, we perform a detailed spectral analysis of the one-dimensional Laplacian in a bounded interval, subject to specifi…