186 citations · 896 across the 70 of their papers we have counts for
5 papers · 1 filter
Aging of asymmetric dynamics on the random energy model
Pierre Mathieu, Jean-Christophe Mourrat
We show aging of Glauber-type dynamics on the random energy model, in the sense that we obtain the scaling limits of the clock process and of the age process. The latter encodes th…
Random walk in random environment, corrector equation, and homogenized coefficients: from theory to numerics, back and forth
A. -C. Egloffe, A. Gloria, J. -C. Mourrat +1
This article is concerned with numerical methods to approximate effective coefficients in stochastic homogenization of discrete linear elliptic equations, and their numerical analy…
Lyapunov exponents of random walks in small random potential: the lower bound
Thomas Mountford, Jean-Christophe Mourrat
We consider the simple random walk on Z^d, d > 2, evolving in a potential of the form βV, where (V(x), x \in Z^d) are i.i.d. random variables taking values in [0,+\infty), and β >…
Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients
Jean-Christophe Mourrat
The article begins with a quantitative version of the martingale central limit theorem, in terms of the Kantorovich distance. This result is then used in the study of the homogeniz…
Exponential extinction time of the contact process on finite graphs
Thomas Mountford, Jean-Christophe Mourrat, Daniel Valesin +1
We study the extinction time $\uptau$ of the contact process on finite trees of bounded degree. We show that, if the infection rate is larger than the critical rate for the contact…