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


 
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1. Title Title of document A quantitative central limit theorem for the random walk among random conductances
 
2. Creator Author's name, affiliation, country Jean-Christophe Mourrat; EPFL; Switzerland
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random walk among random conductances ; central limit theorem ; Berry-Esseen estimate ; homogenization
 
3. Subject Subject classification 60K37 ; 60F05 ; 35B27
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-11-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/2414
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-2414
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
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