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Brownian motion in Minkowski normed spaces

Ohta, Shin-ichi et al.
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometryprobability
A Minkowski normed space is the Euclidean space equipped with a (possibly asymmetric) uniformly convex and smooth norm, forming a particular class of Finsler manifolds. We construct a stochastic process with one-dimensional time marginal densities given by the fundamental solution to the nonlinear
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