Geodesic random walks, diffusion processes and Brownian motion on Finsler manifolds

Abstract

We show that geodesic random walks on a complete Finsler manifold of bounded geometry converge to a diffusion process which is, up to a drift, the Brownian motion corresponding to a Riemannian metric.

arXiv comment32 pages, 3 figures. Comments from reads are welcome

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Cited by in corpus (4)

• Generalized Finsler geometry and the anisotropic tearing of skin
• Efficient Random Walks on Riemannian Manifolds
• Geodesic Quantum Walks
• If a Minkowski billiard is projective, it is the standard billiard