We investigate the long-term behavior of a random walker evolving on top of the simple
symmetric exclusion process (SSEP) at equilibrium, in dimension one. At each jump, the …

We derive an anomalous, sub-diffusive scaling limit for a one-dimen-sional version of the
Mott random walk. The limiting process can be viewed heuristically as a one-dimensional …

We study biased random walks on dynamical percolation on $\mathbb {Z}^ d $. We establish
a law of large numbers and an invariance principle for the random walk using regeneration …

We consider one-dimensional Mott variable-range hopping. This random walk is an effective
model for the phonon-induced hopping of electrons in disordered solids within the regime of …

We consider a one-dimensional random walk among biased iid conductances, in the case
where the random walk is transient but sub-ballistic: this occurs when the conductances …

We study the asymptotic properties of nearest-neighbor random walks in 1d random
environment under the influence of an external field of intensity $\lambda\in\mathbb {R} …

We consider two models of one-dimensional random walks among biased iid random
conductances: the first is the classical exponential tilt of the conductances, while the second …

In this paper we consider random walks on Galton-Watson trees with random conductances.
On these trees, the distance of the walker to the root satisfies a law of large numbers with …

Mott variable-range hopping is a fundamental mechanism for electron transport in
disordered solids in the regime of strong Anderson localization. We give a brief description …