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A transient Markov chain with finitely many cutpoints

by: Nicholas James, Russell Lyons, Yuval Peres
(19 May 2008)


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We give an example of a transient reversible Markov chain that almost surely has only a finite number of cutpoints. We explain how this is relevant to a conjecture of Diaconis and Freedman and a question of Kaimanovich. We also answer Kaimanovich's question when the Markov chain is a nearest-neighbor random walk on a tree.


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