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The rate of convergence of the Walk on Spheres Algorithm
Authors:Ilia Binder  Mark Braverman
Affiliation:1. Department of Mathematics, University of Toronto, Toronto, Canada
2. Department of Computer Science, Princeton University, Princeton, USA
Abstract:In this paper we examine the rate of convergence of one of the standard algorithms for emulating exit probabilities of Brownian motion, the Walk on Spheres (WoS) algorithm. We obtain a complete characterization of the rate of convergence of WoS in terms of the local geometry of a domain.
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