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arxiv: math/0508270 · v2 · submitted 2005-08-15 · 🧮 math.PR · math.MG

Almost Sure Recurrence of the Simple Random Walk Path

classification 🧮 math.PR math.MG
keywords walkalmostpathrandomsimpleconsistingcrossededges
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It is shown that the path of a simple random walk on any graph, consisting of all vertices visited and edges crossed by the walk, is almost surely a recurrent subgraph.

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