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From random walks to rough paths

2008/10/15 by Breuillard, Emmanuel, Friz, Peter, Huesmann, Martin
#60B15 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.0810.2681

Abstract

Donsker's invariance principle is shown to hold for random walks in rough path topology. As application, we obtain Donsker-type weak limit theorems for stochastic integrals and differential equations.

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