Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/58873
Type: Artigo de periódico
Title: Random walks with unbounded jumps among random conductances I: Uniform quenched CLT
Author: Gallesco, C
Popov, S
Abstract: We study a one-dimensional random walk among random conductances, with unbounded jumps. Assuming the ergodicity of the collection of conductances and a few other technical conditions (uniform ellipticity and polynomial bounds on the tails of the jumps) we prove a quenched uniform invariance principle for the random walk. This means that the rescaled trajectory of length n is (in a certain sense) close enough to the Brownian motion, uniformly with respect to the choice of the starting location in an interval of length O (root n) around the origin.
Subject: ergodic environment
unbounded jumps
hitting probabilities
exit distribution
Country: EUA
Editor: Univ Washington, Dept Mathematics
Rights: aberto
Identifier DOI: 10.1214/EJP.v17-1826
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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