186 citations · 896 across the 70 of their papers we have counts for
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Lyapunov exponents, shape theorems and large deviations for the random walk in random potential
Jean-Christophe Mourrat
We consider the simple random walk on Z^d evolving in a potential of independent and identically distributed random variables taking values in [0, + \infty]. We give optimal condit…
A quantitative central limit theorem for the random walk among random conductances
Jean-Christophe Mourrat
We consider the random walk among random conductances on Z^d. We assume that the conductances are independent, identically distributed and uniformly bounded away from 0 and infinit…
On the rate of convergence in the martingale central limit theorem
Jean-Christophe Mourrat
Consider a discrete-time martingale, and let be its normalized quadratic variation. As approaches 1, and provided that some Lindeberg condition is satisfied, the distri…
Quantitative version of the Kipnis-Varadhan theorem and Monte Carlo approximation of homogenized coefficients
Antoine Gloria, Jean-Christophe Mourrat
This article is devoted to the analysis of a Monte Carlo method to approximate effective coefficients in stochastic homogenization of discrete elliptic equations. We consider the c…