Geodesic Random Walks, Diffusion Processes and Brownian Motion on Finsler Manifolds

Tianyu Ma, Vladimir S. Matveev, Ilya Pavlyukevich
2021 Journal of Geometric Analysis  
AbstractWe 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.
doi:10.1007/s12220-021-00723-z fatcat:t3m2i6gxebdwxljobhjsypjc7y