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

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

2008-01-08

arxiv.org/abs/0801.1220v2

Journal of Applied Probability 45(1) (2008) 703-713

Mathematics

Probability

14 pages; added references and publication information

Scientific paper

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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