Translator Disclaimer
2012 A quantitative central limit theorem for the random walk among random conductances
Jean-Christophe Mourrat
Author Affiliations +
Electron. J. Probab. 17: 1-17 (2012). DOI: 10.1214/EJP.v17-2414

Abstract

We consider the random walk among random conductances on $\mathbb{Z}^d$. 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 $d \le 2$, and speed $t^{-1/5}$ for $d \ge 3$, up to logarithmic corrections.

Citation

Download Citation

Jean-Christophe Mourrat. "A quantitative central limit theorem for the random walk among random conductances." Electron. J. Probab. 17 1 - 17, 2012. https://doi.org/10.1214/EJP.v17-2414

Information

Accepted: 2 November 2012; Published: 2012
First available in Project Euclid: 4 June 2016

zbMATH: 1286.60102
MathSciNet: MR2994845
Digital Object Identifier: 10.1214/EJP.v17-2414

Subjects:
Primary: 60K37
Secondary: 35B27, 60F05

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.17 • 2012
Back to Top