How far do Activated Random Walkers spread from a single source?
Probability
2021-11-17 v2
Abstract
Unlike many particle systems, Activated Random Walk has nontrivial behavior even in one spatial dimension. We prove inner and outer bounds on the spread of n activated random walkers from a single source in Z. The inner bound involves a comparison with the stationary distribution of activated random walkers on a finite interval, while the outer bound involves a comparison with the stabilization of an infinite Bernoulli configuration of activated random walkers on Z.
Cite
@article{arxiv.2011.02535,
title = {How far do Activated Random Walkers spread from a single source?},
author = {Lionel Levine and Vittoria Silvestri},
journal= {arXiv preprint arXiv:2011.02535},
year = {2021}
}
Comments
26 pages, 5 figures