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

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We 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.
16 pages

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Probability, 60K35

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http://salesiana.dossiersoluciones.com/handle/123456789/118096

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610744
 http://arxiv.org/abs/math/0610744

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arXiv