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Active Phase for Activated Random Walk on $\mathbb Z^2$

Probability 2022-03-29 v1 Mathematical Physics math.MP

Abstract

We show that for small enough sleep rate, the critical density of the symmetric Activated Random Walk model on Z2\mathbb Z^2 is strictly less than one.

Cite

@article{arxiv.2203.14406,
  title  = {Active Phase for Activated Random Walk on $\mathbb Z^2$},
  author = {Yiping Hu},
  journal= {arXiv preprint arXiv:2203.14406},
  year   = {2022}
}
R2 v1 2026-06-24T10:27:38.582Z