Cutoff for activated random walk
Probability
2025-01-31 v1 Statistical Mechanics
Abstract
We prove that the mixing time of driven-dissipative activated random walk on an interval of length with uniform or central driving exhibits cutoff at times the critical density for activated random walk on the integers. The proof uses a new result for arbitrary graphs showing that the chain is mixed once activity is likely at every site.
Cite
@article{arxiv.2501.17938,
title = {Cutoff for activated random walk},
author = {Christopher Hoffman and Tobias Johnson and Matthew Junge and Josh Meisel},
journal= {arXiv preprint arXiv:2501.17938},
year = {2025}
}
Comments
18 pages