A counterexample for the optimality of Kendall-Cranston coupling.
Kuwada, Kazumasa, Sturm, Karl-Theodor (2007)
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Kuwada, Kazumasa, Sturm, Karl-Theodor (2007)
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In this paper I consider a covering of a Riemannian manifold . I prove that Green’s function exists on if any and only if the symmetric translation invariant random walks on the covering group are transient (under the assumption that is compact).
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