文章基本信息

标题：Recurrence of the $\mathbb{Z}^d$-valued infinite snake via unimodularity
本地全文：下载
作者：Benjamini, Itai ; Curien, Nicolas
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2012
卷号：17
页码：1-10
DOI：10.1214/ECP.v17-1700
语种：English
出版社：Electronic Communications in Probability
摘要：We use the concept of unimodular random graph to show that the branching simple random walk on $\mathbb{Z}^{d}$ indexed by a critical geometric Galton-Watson tree conditioned to survive is recurrent if and only if $d \leq 4$.
关键词：Galton-Watson trees; random snake; recurrence;60J80