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

2011/05/23 by Mourrat, Jean-Christophe · 1 citation
#35B27 #60F05 #60K37 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1105.4485

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.

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