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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, up to logarithmic corrections.
Anthony Christopher Davison, Igor Rodionov
Michael Christoph Gastpar, Aditya Pradeep