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

   
@article{EJP2414,
	author = {Jean-Christophe Mourrat},
	title = {A quantitative central limit theorem for the random walk among random conductances},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {17},
	year = {2012},
	keywords = {Random walk among random conductances ; central limit theorem ; Berry-Esseen estimate ; homogenization},
	abstract = {We consider the random walk among random conductances on $\mathbb{Z}^d$. 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 $d \le 2$, and speed $t^{-1/5}$ for $d \ge 3$, up to logarithmic corrections.},
	pages = {no. 97, 1-17},
	issn = {1083-6489},
	doi = {10.1214/EJP.v17-2414},    
        url = {http://ejp.ejpecp.org/article/view/2414}}