186 citations · 896 across the 70 of their papers we have counts for
3 papers · 2 filters
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…
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 >…
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…