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Optimal co-adapted coupling for the symmetric random walk on the hypercube

By Stephen B. Connor and Saul D. Jacka

Abstract

Let X and Y be two simple symmetric continuous-time random walks on the vertices of the n-dimensional hypercube, Z2n. We consider the class of co-adapted couplings of these processes, and describe an intuitive coupling which is shown to be the fastest in this class

Topics: QA
Publisher: Applied Probability Trust
Year: 2008
OAI identifier: oai:wrap.warwick.ac.uk:2491

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