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

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Publication details

JournalJournal of Applied Probability
DatePublished - Sep 2008
Issue number3
Number of pages11
Pages (from-to)703-713
Original languageEnglish


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.

    Research areas

  • Statistics

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