On the Cluster Size Distribution for Percolation on Some General Graphs

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dc.creatorBandyopadhyay, Antar
dc.creatorSteif, Jeffrey
dc.creatorTimar, Adam
dc.date2008-05-23
dc.date.accessioned2026-07-07T09:40:38Z
dc.date.available2026-07-07T09:40:38Z
dc.descriptionWe show that for any Cayley graph, the probability (at any $p$) that the cluster of the origin has size n decays at a well-defined exponential rate (possibly 0). For general graphs, we relate this rate being positive in the supercritical regime with the amenability/nonamenability of the underlying graph.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0805.3620
dc.identifierhttp://arxiv.org/abs/0805.3620
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161548
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35, 82B43
dc.titleOn the Cluster Size Distribution for Percolation on Some General Graphs
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