On Traversable Length inside Semi-Cylinder in 2D supercritical Bond Percolation

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dc.creatorSugimine, Nobuaki
dc.creatorTakei, Masato
dc.date2006-10-25
dc.date.accessioned2026-07-07T07:29:24Z
dc.date.available2026-07-07T07:29:24Z
dc.descriptionWe investigate a limit theorem on traversable length inside semi-cylinder in the 2-dimensional supercritical Bernoulli bond percolation, which gives an extension of Theorem 2 in Grimmett(1981). This type of limit theorems was originally studied for the extinction time for the 1-dimensional contact process on a finite interval in Wagner and Anantharam(2005). Actually, our main result Theorem 2.1 is stated under a rather general 2-dimensional bond percolation setting.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0610744
dc.identifierhttp://arxiv.org/abs/math/0610744
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118096
dc.subjectProbability
dc.subject60K35
dc.titleOn Traversable Length inside Semi-Cylinder in 2D supercritical Bond Percolation
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