Strong, scale-free disorder disrupts typical transport properties like the Stokes-Einstein
relation and linear response, leading to anomalous diffusion observed in amorphous …

Invariance principle for the random conductance model with unbounded conductances Page 1
The Annals of Probability 2010, Vol. 38, No. 1, 234–276 DOI: 10.1214/09-AOP481 © Institute of …

We study a continuous time random walk X in an environment of iid random conductances e
∈ 0, ∞) in Z^ d. We assume that P (e> 0)> p_c, so that the bonds with strictly positive …

Scaling Limit for Trap Models on <tex-math>${\Bbb Z}^{d}$</tex-math> Page 1 The Annals of
Probability 2007, Vol. 35, No. 6, 2356-2384 DOI: 10.1214/009117907000000024 ? Institute of …

These notes cover one of the topics of the class given in the Les Houches Summer School
“Mathematical statistical physics” in July 2005. The lectures tried to give a summary of the …

Let E_i be a collection of iid exponential random variables. Bouchaud's model on ℤ is a
Markov chain X (t) whose transition rates are given by ij=νexp(-β((1-a)E_i-aE_j)) if i, j are …

We consider a version of Glauber dynamics for ap-spin Sherrington–Kirkpatrick model of a
spin glass that can be seen as a time change of simple random walk on the N-dimensional …

We consider a random walk among unbounded random conductances whose distribution
has infinite expectation and polynomial tail. We prove that the scaling limit of this process is …

We give a general proof of aging for trap models using the arcsine law for stable
subordinators. This proof is based on abstract conditions on the potential theory of the …

We introduce a general model of trapping for random walks on graphs. We give the possible
scaling limits of these Randomly Trapped Random Walks on Z. These scaling limits include …