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Recurrence of random walk traces

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arxiv math/0603060 v3 pith:2O2QXRRC submitted 2006-03-02 math.PR

classification math.PR
keywords edgesrandomwalkcrossedcrossingsfactformgraph
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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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