文章基本信息

标题：Site recurrence for coalescing random walk
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作者：Itai Benjamini ; Eric Foxall ; Ori Gurel-Gurevich 等
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2016
卷号：21
DOI：10.1214/16-ECP5
语种：English
出版社：Electronic Communications in Probability
摘要：Begin continuous time random walks from every vertex of a graph and have particles coalesce when they collide. We use a duality relation with the voter model to prove the process is site recurrent on bounded degree graphs, and for Galton-Watson trees whose offspring distribution has exponential tail. We prove bounds on the occupation probability of a site, as well as a general 0-1 law. Similar conclusions hold for a coalescing process on trees where particles do not backtrack.