%0 Journal Article %T A transient Markov chain with finitely many cutpoints %A Nicholas James %A Russell Lyons %A Yuval Peres %J Mathematics %D 2007 %I arXiv %R 10.1214/193940307000000365 %X 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. %U http://arxiv.org/abs/0706.2013v2