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

Electronic Communications in Probability 2026 Open access

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Authors: Matthew Junge, Henry Kaufman, Josh Meisel
DOI: 10.1214/26-ecp789
Cited by: 0

Abstract

We show that the critical density for activated random walk on Z d approaches the sleep probability as d → ∞ and provide the first-order correction.

Fields of Study & Subjects

Stochastic processes and statistical mechanics Theoretical and Computational Physics

Publication details

Journal / source
Electronic Communications in Probability
Volume
31
Issue
none
Publication date
1 January 2026
Language
EN