Recurrence of random walk traces

成果类型:
Article
署名作者:
Benjamini, Itai; Gurel-Gurevich, Ori; Lyons, Russell
署名单位:
Weizmann Institute of Science; Indiana University System; Indiana University Bloomington
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/009117906000000935
发表日期:
2007
页码:
732-738
关键词:
摘要:
We show that the edges crossed by a random walk in a network form a recurrent graph a.s. In fact, the same is true when those edges are weighted by the number of crossings.