Arbitrary many walkers meet infinitely often in a subballistic random environment
Probability
2019-09-04 v2 Mathematical Physics
math.MP
Abstract
We consider independent walkers in the same random environment in . Our assumption on the law of the environment is such that a single walker is transient to the right but subballistic. We show that - no matter what is - the walkers meet infinitely often, i.e. there are almost surely infinitely many times for which all the random walkers are at the same location.
Cite
@article{arxiv.1811.12763,
title = {Arbitrary many walkers meet infinitely often in a subballistic random environment},
author = {Alexis Devulder and Nina Gantert and Françoise Pene},
journal= {arXiv preprint arXiv:1811.12763},
year = {2019}
}
Comments
26 pages, 1 figure, to appear in Electronic Journal of Probability