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Stein's method for rough paths
Published 5 Jul 2017 in math.PR | (1707.01269v3)
Abstract: The original Donsker theorem says that a standard random walk converges in distribution to a Brownian motion in the space of continuous functions. It has recently been extended to enriched random walks and enriched Brownian motion. We use the Stein-Dirichlet method to precise the rate of this convergence in the topology of fractional Sobolev spaces.
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