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math.DG2021★ 8 cited
Geodesic random walks, diffusion processes and Brownian motion on Finsler manifolds
Tianyu Ma, Vladimir S. Matveev, Ilya Pavlyukevich
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…
math.DG2017★ 1 cited
Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields
Tianyu Ma
In this paper, it is proved that a connected 3-dimensional Riemannian manifold or a closed connected semi-Riemannian manifold () admitting a projective vector field with…