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arxiv: 0810.2681 · v1 · submitted 2008-10-15 · 🧮 math.PR

From random walks to rough paths

classification 🧮 math.PR
keywords randomroughwalksapplicationdifferentialdonskerdonsker-typeequations
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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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