文章基本信息

标题：Excited Random Walk
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作者：Benjamini, Itai ; Wilson, David Bruce
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2003
卷号：8
页码：86-92
DOI：10.1214/ECP.v8-1072
出版社：Electronic Communications in Probability
摘要：A random walk on $\mathbb{Z}^d$ is excited if the first time it visits a vertex there is a bias in one direction, but on subsequent visits to that vertex the walker picks a neighbor uniformly at random. We show that excited random walk on $\mathbb{Z}^d$ is transient iff $d > 1$.
关键词：Perturbed random walk, transience;60J10