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Almost Sure Recurrence of the Simple Random Walk Path (2005)

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

Publication details
Download http://arxiv.org/abs/math/0508270
Repository arXiv (United States)
Keywords Mathematics - Probability, Mathematics - Metric Geometry, 60G50
Type text