Active Phase for Activated Random Walk on \mathbb Z²

2022/03/27 by Hu, Yiping
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2203.14406

Abstract

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

Related

• Active Phase for Activated Random Walk on Z
• Active phase for activated random walks on ℤ^d, d ≥ 3, with density less than one and arbitrary sleeping rate
• Diffusive bounds for the critical density of activated random walks
• Asymptotic behavior of the critical density of activated random walk
• Mean-field limit for activated random walk on the integer lattice