Geodesic random walks, diffusion processes and Brownian motion on Finsler manifolds
Differential Geometry
2022-12-07 v1 Analysis of PDEs
Probability
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.
Keywords
Cite
@article{arxiv.2102.08296,
title = {Geodesic random walks, diffusion processes and Brownian motion on Finsler manifolds},
author = {Tianyu Ma and Vladimir S. Matveev and Ilya Pavlyukevich},
journal= {arXiv preprint arXiv:2102.08296},
year = {2022}
}
Comments
32 pages, 3 figures. Comments from reads are welcome