English

Mean-field limit for activated random walk on the integer lattice

Probability 2025-09-16 v1

Abstract

We show that the critical density for activated random walk on Zd\mathbb{Z}^d approaches the sleep probability as dd \to \infty and provide the first-order correction.

Keywords

Cite

@article{arxiv.2509.10616,
  title  = {Mean-field limit for activated random walk on the integer lattice},
  author = {Matthew Junge and Harley Kaufman and Josh Meisel},
  journal= {arXiv preprint arXiv:2509.10616},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-07-01T05:34:12.718Z