TY - JOUR

T1 - A quantitative central limit theorem for the random walk among random conductances

AU - Mourrat, Jean Christophe

N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2012

Y1 - 2012

N2 - We consider the random walk among random conductances on Zdbld. We assume that the conductances are independent, identically distributed and uniformly bounded away from 0 and infinity. We obtain a quantitative version of the central limit theorem for this random walk, which takes the form of a Berry-Esseen estimate with speed t-1/10 for d≤2, and speed t-1/5 for d≥ 3, up to logarithmic corrections.

AB - We consider the random walk among random conductances on Zdbld. We assume that the conductances are independent, identically distributed and uniformly bounded away from 0 and infinity. We obtain a quantitative version of the central limit theorem for this random walk, which takes the form of a Berry-Esseen estimate with speed t-1/10 for d≤2, and speed t-1/5 for d≥ 3, up to logarithmic corrections.

KW - Berry-esseen estimate

KW - Central limit theorem

KW - Homogenization

KW - Random walk among random conductances

UR - http://www.scopus.com/inward/record.url?scp=84869056794&partnerID=8YFLogxK

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U2 - 10.1214/EJP.v17-2414

DO - 10.1214/EJP.v17-2414

M3 - Article

AN - SCOPUS:84869056794

VL - 17

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

SN - 1083-6489

ER -