A quantitative central limit theorem for the random walk among random conductances
Probability
2011-05-24 v1
Abstract
We consider the random walk among random conductances on 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 < 3, and speed t^{-1/5} otherwise, up to logarithmic corrections.
Cite
@article{arxiv.1105.4485,
title = {A quantitative central limit theorem for the random walk among random conductances},
author = {Jean-Christophe Mourrat},
journal= {arXiv preprint arXiv:1105.4485},
year = {2011}
}
Comments
16 pages