### Abstract

We consider the random walk among random conductances on Zdbl^{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≤2, and speed t^{-1/5} for d≥ 3, up to logarithmic corrections.

Original language | English (US) |
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Journal | Electronic Journal of Probability |

Volume | 17 |

DOIs | |

State | Published - Nov 19 2012 |

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### Keywords

- Berry-esseen estimate
- Central limit theorem
- Homogenization
- Random walk among random conductances

### ASJC Scopus subject areas

- Statistics and Probability
- Statistics, Probability and Uncertainty