Recurrence of random walk traces

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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. © Institute of Mathematical Statistics, 2007.

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Benjamini, I., Gurel-Gurevich, O., & Lyons, R. (2007). Recurrence of random walk traces. Annals of Probability, 35(2), 732–738. https://doi.org/10.1214/009117906000000935

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