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Type: Artigo de periódico
Title: Random walks on Galton-Watson trees with random conductances
Author: Gantert, N
Muller, S
Popov, S
Vachkovskaia, M
Abstract: We consider the random conductance model where the underlying graph is an infinite supercritical Galton-Watson tree, and the conductances are independent but their distribution may depend on the degree of the incident vertices. We prove that if the mean conductance is finite, there is a deterministic, strictly positive speed nu such that lim(n ->infinity) vertical bar X-n/n vertical bar = nu a.s. (here, vertical bar.vertical bar stands for the distance from the root). We give a formula for nu in terms of the laws of certain effective conductances and show that if the conductances share the same expected value, the speed is not larger than the speed of a simple random walk on Galton-Watson trees. The proof relies on finding a reversible measure for the environment observed by the particle. (c) 2012 Elsevier B.V. All rights reserved.
Subject: Rate of escape
Environment observed by the particle
Effective conductance
Country: Holanda
Editor: Elsevier Science Bv
Citation: Stochastic Processes And Their Applications. Elsevier Science Bv, v. 122, n. 4, n. 1652, n. 1671, 2012.
Rights: fechado
Identifier DOI: 10.1016/
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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