Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/58873
Type: Artigo
Title: Random walks with unbounded jumps among random conductances I: uniform quenched CLT
Author: Gallesco, Christophe
Popov, Serguei
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.
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
Subject: Teoria ergódica
Movimentos brownianos
Passeios aleatórios (Matemática)
Probabilidades
Country: Estados Unidos
Editor: Institute of Mathematical Statistics
Citation: Electronic Journal Of Probability. Univ Washington, Dept Mathematics, v. 17, n. 1, n. 22, 2012.
Rights: Aberto
Identifier DOI: 10.1214/EJP.v17-1826
Address: https://projecteuclid.org/euclid.ejp/1465062407
Date Issue: 2012
Appears in Collections:IMECC - Artigos e Outros Documentos

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