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

Jean-Christophe Mourrat (EPFL)

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.

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Pages: 1-17

Publication Date: November 2, 2012

DOI: 10.1214/EJP.v17-2414

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