Recurrence of random walk traces

Itai Benjamini; Ori Gurel-Gurevich; Russell Lyons

doi:10.1214/009117906000000935

Recurrence of random walk traces

Itai Benjamini^*
, Ori Gurel-Gurevich
, Russell Lyons

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	732-738
Number of pages	7
Journal	Annals of Probability
Volume	35
Issue number	2
DOIs	https://doi.org/10.1214/009117906000000935
State	Published - 2007
Externally published	Yes

Keywords

Graphs
Networks
Paths

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10.1214/009117906000000935

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title = "Recurrence of random walk traces",

abstract = "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.",

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KW - Graphs

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KW - Paths

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JO - Annals of Probability

JF - Annals of Probability

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ER -

Recurrence of random walk traces

Abstract

Keywords

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