Diffusive bounds for the critical density of activated random walks
Amine Asselah, Leonardo T. Rolla, Bruno Schapira·2019-07-30·via math.PR updates on arXiv.org
We consider symmetric activated random walks on $\mathbb{Z}$, and show that the critical density $ζ_c$ satisfies $c\sqrtλ \leq ζ_c(λ) \leq C \sqrtλ$ where $λ$ denotes the sleep rate.