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

Jean Christophe Mourrat

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
JournalElectronic Journal of Probability
Volume17
DOIs
StatePublished - Nov 19 2012

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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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