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

Jean Christophe Mourrat

doi:10.1214/EJP.v17-2414

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

Jean Christophe Mourrat

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the random walk among random conductances on Zdbl^d. 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.

Original language	English (US)
Journal	Electronic Journal of Probability
Volume	17
DOIs	https://doi.org/10.1214/EJP.v17-2414
State	Published - 2012

Keywords

Berry-esseen estimate
Central limit theorem
Homogenization
Random walk among random conductances

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/EJP.v17-2414

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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.

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

Abstract

Keywords

ASJC Scopus subject areas

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