A quantitative central limit theorem for the random walk among random conductances
Mourrat, Jean-Christophe
Original · EN
We consider the random walk among random conductances on Zᵈ. 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, and speed t⁻¹/⁵ otherwise, up to logarithmic corrections.
English translation
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