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

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

2011-05-23

arxiv.org/abs/1105.4485v1

Mathematics

Probability

16 pages

Scientific paper

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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