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

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.