Almost Sure Recurrence of the Simple Random Walk Path

Details Almost Sure Recurrence of the Simple Random Walk Path Almost Sure Recurrence of the Simple Random Walk Path

2005-08-15

arxiv.org/abs/math/0508270v2

Mathematics

Probability

13 pages, updated version includes proof for unbounded degree graphs. Also see http://arxiv.org/abs/math/0603060 for another p

Scientific paper

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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