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arXiv · 0801.1220

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

Stephen B. Connor·Saul D. Jacka
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Abstract

Let X and Y be two simple symmetric continuous-time random walks on the vertices of the n-dimensional hypercube. 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.

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Stephen B. Connor, Saul D. Jacka. 2008-10-16. Optimal co-adapted coupling for the symmetric random walk on the hypercube. https://arxiv.org/abs/0801.1220

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