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Type: Artigo de periódico
Title: Random walk attracted by percolation clusters
Author: Popov, S
Vachkovskaia, M
Abstract: Starting with a percolation model in Z(d) in the subcritical regime, we consider a random walk described as follows: the probability of transition from x to y is proportional to some function f of the size of the cluster of y. This function is supposed to be increasing, so that the random walk is attracted by bigger clusters. For f(t) = e(beta t) we prove that there is a phase transition in beta, i.e., the random walk is subdiffusive for large beta and is diffusive for small beta.
Subject: subcritical percolation
spectral gap
Country: EUA
Editor: Univ Washington, Dept Mathematics
Citation: Electronic Communications In Probability. Univ Washington, Dept Mathematics, v. 10, n. 263, n. 272, 2005.
Rights: aberto
Date Issue: 2005
Appears in Collections:Unicamp - Artigos e Outros Documentos

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