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arXiv 0706.2013math.PR
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一个具有多个截点的瞬态马尔可夫链

A transient Markov chain with finitely many cutpoints

Nicholas James, Russell Lyons, Yuval Peres

摘要:

我们给出了一个瞬态可逆马尔可夫链的例子,几乎肯定只有有限个断点。我们解释这是如何相关的猜想Diaconis和弗里德曼和一个问题Kaimanovich。当马尔可夫链是树上的最近邻随机游动时,我们也回答了Kaimanovich的问题。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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