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 …

The first-passage time for a single diffusing particle has been studied extensively, but the
first-passage time of a system of many diffusing particles, as is often the case in physical …

In many-particle diffusions, particles that move the furthest and fastest can play an outsized
role in physical phenomena. A theoretical understanding of the behavior of such extreme …

We consider the Beta polymer, an exactly solvable model of directed polymer on the square
lattice, introduced by Barraquand and Corwin (BC)(2016 Probab. Theory Relat. Fields 1 …

Environment viewed from the particle is a powerful method of analyzing random walks (RW)
in random environment (RE). It is well known that in this setting the environment process is a …

We consider random walks in dynamic random environments given by Markovian dynamics
on Z d. We assume that the environment has a stationary distribution μ and satisfies the …

In Z d, d≥ 2, we consider random walks in a balanced random environment with a finite
range of dependence. We first obtain both positive and negative exponential moment …

We prove a quenched local central limit theorem for continuous-time random walks in Z d,
d≥ 2, in a uniformly-elliptic time-dependent balanced random environment which is ergodic …