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arXiv:1105.4485 [math.PR]AbstractReferencesReviewsResources

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

Jean-Christophe Mourrat

Published 2011-05-23Version 1

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.

Comments: 16 pages
Categories: math.PR
Subjects: 60K37, 60F05, 35B27
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