We establish an invariance principle for a one-dimensional random walk in a dynamic
random environment given by a speed-change exclusion process. The jump probabilities of …

We study a non-reversible random walk advected by the symmetric simple exclusion
process, so that the walk has a local drift of opposite sign when sitting atop an occupied or …

In this paper, we study random walks evolving on Z in a dynamic random environment that
we assume to have time correlations that decrease polynomially fast. We show a law of …

In this paper, we study the spectral gap and mixing time of the simple exclusion process with
$ k $ particles in the line segment $[1, N] $ with conductances $ c (x, x+ 1) _ {1\le x< N} …

We prove an annealed weak limit of the trajectory of the random walks in cooling random
environment (RWCRE) under both slow (polynomial) and fast (exponential) cooling. We …

We consider random walks in dynamic random environments and propose a criterion which,
if satisfied, allows to decompose the random walk trajectory into iid increments, and …

In this short note, we prove that v (− ε)=− v (ε). Here, v (ε) is the speed of a one-dimensional
random walk in a dynamic reversible random environment, that jumps to the right (resp. to …

We establish a strong law of large numbers for one-dimensional continuous-time random
walks in dynamic random environments under two main assumptions: the environment is …

We study the behavior of a tracer particle driven by a one-dimensional fluctuating potential,
defined initially as a Brownian motion, and evolving in time according to the heat equation …

In this article, we prove a lower bound for the fluctuations of symmetric random walks on
dynamic random environments in dimension $1+ 1$ in the perturbative regime where the …