Random walks in random environments and their diffusion analogues have been a source
of surprising phenomena and challenging problems, especially in the non-reversible …

We study a continuous-time random walk, X, on ℤ d in an environment of dynamic random
conductances taking values in (0,∞). We assume that the law of the conductances is ergodic …

In this paper we study a random walk in a one-dimensional dynamic random environment
consisting of a collection of independent particles performing simple symmetric random …

We study a general class of random walks driven by a uniquely ergodic Markovian
environment. Under a coupling condition on the environment we obtain strong ergodicity …

In this paper we consider a class of one-dimensional interacting particle systems in
equilibrium, constituting a dynamic random environment, together with a nearest-neighbor …

We study continuous-time (variable speed) random walks in random environments on Z d,
d≥ 2, where, at time t, the walk at x jumps across edge (x, y) at time-dependent rate at (x, y) …

We prove a quenched central limit theorem for random walks with bounded increments in a
randomly evolving environment on ℤ d. We assume that the transition probabilities of the …

The main purpose of this paper is to prove the central limit theorem for the position at large
times of a particle performing a discrete-time random walk on the lattice when the particle …

We derive upper bounds on the fluctuations of a class of random surfaces of the∇ ϕ-type
with convex interaction potentials. The Brascamp-Lieb concentration inequality provides an …

We study the behavior of random walk on dynamical percolation. In this model, the edges of
a graph GG are either open or closed and refresh their status at rate μ μ while at the same …