We consider the random walk among random conductances on Zdbld. 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≤2, and speed t-1/5 for d≥ 3, up to logarithmic corrections.
- Berry-esseen estimate
- Central limit theorem
- Random walk among random conductances
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty