一个具有多个截点的瞬态马尔可夫链
A transient Markov chain with finitely many cutpoints
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。