Recurrence of random walk traces

Details Recurrence of random walk traces Recurrence of random walk traces

2006-03-02

arxiv.org/abs/math/0603060v3

Annals of Probability 2007, Vol. 35, No. 2, 732-738

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117906000000935 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117906000000935

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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