The conditions (T) γ, γ∊(0, 1), which were introduced by Sznitman in 2002, have had a
significant impact on research in random walk in a random environment. Among others …

We prove the homogenization of a class of one-dimensional viscous Hamilton-Jacobi
equations with random Hamiltonians that are nonconvex in the gradient variable. Due to the …

We prove a shape theorem and derive a variational formula for the limiting quenched
Lyapunov exponent and the Green's function of random walk in a random potential on a …

In this paper we introduce and study renewal–reward processes in random environments
where each renewal involves a reward taking values in a Banach space. We derive …

We consider random walk with bounded jumps on a hypercubic lattice of arbitrary dimension
in a dynamic random environment. The environment is temporally independent and spatially …

In this paper we introduce and study renewal-reward processes in random environments
where each renewal involves a reward taking values in a Banach space. We derive …

In this dissertation, we prove a shape theorem and derive a variational formula for the
limiting quenched Lyapunov exponent of random walk in a random potential on a square …

Excited deterministic walk in a random environment is a non-Markov integer-valued process
(X_n)_n=0^∞, whose jump at time n depends on the number of visits to the site X_n. The …

Deterministic walk in an excited random environment is a non-Markov integer-valued
process $(X_n) _ {n= 0}^{\infty} $, whose jump at time $ n $ depends on the number of visits …