Paper No. 08-03
S Connor and SD Jacka
Optimal Co-adapted Coupling for the Symmetric Random Walk on the Hypercube
Abstract: Let X and Y be two simple symmetric continuous-time random walks on the vertices of the n-dimensional hypercube, Zn. 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.