We consider a model of lattice gas dynamics in Z d in the presence of disorder. If the particle interaction is only mutual exclusion and if the disorder field is given by i.i.d. bounded randomâ€¦ (More)

We consider the random walk on a simple point process on R d , d â‰¥ 2, whose jump rates decay exponentially in the Î±-power of jump length. The case Î± = 1 corresponds to the phonon-inducedâ€¦ (More)

Abstract. Given a doubly infinite sequence of positive numbers {ck : k âˆˆ Z} such that {c k : k âˆˆ Z} satisfies a LLN with limit Î± âˆˆ (0,âˆž], we consider the nearestâ€“neighbor simple exclusion process onâ€¦ (More)

We consider a random walk on the support of a stationary simple point process on Rd, d â‰¥ 2 which satisfies a mixing condition w.r.t. the translations or has a strictly positive density uniformly onâ€¦ (More)

We consider a stationary and ergodic random field {Ï‰(b) : b âˆˆ Ed} parameterized by the family of bonds in Z , d > 2. The random variableÏ‰(b) is thought of as the conductance of bond b and it rangesâ€¦ (More)

We consider a random walk on a homogeneous Poisson point process with energy marks. The jump rates decay exponentially in the Î±-power of the jump length and depend on the energy marks via aâ€¦ (More)

We consider random walks in a random environment which are generalized versions of well-known effective models for Mott variable-range hopping. We study the homogenized diffusion constant of theâ€¦ (More)

We consider reversible random walks in random environment obtained from symmetric longâ€“ range jump rates on a random point process. We prove almost sure transience and recurrence results underâ€¦ (More)

We consider a sequence X, n â‰¥ 1, of continuousâ€“time nearestâ€“neighbor random walks on the one dimensional latticeZ. We reduce the spectral analysis of the Markov generator of X with Dirichletâ€¦ (More)

We consider a random walk on the support of an ergodic simple point process on R d , d â‰¥ 2, furnished with independent energy marks. The jump rates of the random walk decay exponentially in the jumpâ€¦ (More)