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

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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.

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Ma, T., Matveev, V. S., & Pavlyukevich, I. (2021). Geodesic Random Walks, Diffusion Processes and Brownian Motion on Finsler Manifolds. Journal of Geometric Analysis, 31(12), 12446–12484. https://doi.org/10.1007/s12220-021-00723-z

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