4 citations · 7 across the 3 of their papers we have counts for
4 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…
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 delocalized phase of the random pinning model
Jean-Christophe Mourrat
We consider the model of a directed polymer pinned to a line of i.i.d. random charges, and focus on the interior of the delocalized phase. We first show that in this region, the pa…
Principal eigenvalue for random walk among random traps on Z^d
Jean-Christophe Mourrat
Let be i.i.d. random variables with heavy (polynomial) tails. Given , we consider the Markov process defined by the jump rates $ω_{x \to y} = {τ_x…