Random walk in a dynamic iid beta random environment, conditioned to escape at an
atypical velocity, converges to a Doob transform of the original walk. The Doob-transformed …

In this paper, we study random walks on dynamical random environments in 1+1
dimensions. Assuming that the environment is invariant under space-time shifts and fulfills a …

We investigate the long-term behavior of a random walker evolving on top of the simple
symmetric exclusion process (SSEP) at equilibrium, in dimension one. At each jump, the …

We study the evolution of a random walker on a conservative dynamic random environment
composed of independent particles performing simple symmetric random walks …

Consider the dynamic environment governed by a Poissonian field of independent particles
evolving as simple random walks on $\mathbb {Z}^ d $. The random walk on random walks …

Vladas was born in Vilnius, Lithuania, on August 23, 1963, and did his undergraduate
studies in Mathematics from 1982 to 1985 at Vilnius University. There, in 1986, he received …

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 …

We consider a random walk in dimension d ≥ 1 d≥ 1 in a dynamic random environment
evolving as an interchange process with rate γ> 0 γ> 0. We prove that, if we choose γ γ large …

Random walk in a dynamic iid beta random environment, conditioned to escape at an
atypical velocity, converges to a Doob transform of the original walk. The Doob-transformed …

In communication networks, if streams between two endpoints follow the same physical
paths for both forward and reverse direction, they are symmetric. Routing asymmetry affects …