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Diffusive bounds for the critical density of activated random walks

Published 30 Jul 2019 in math.PR, math-ph, and math.MP | (1907.12694v1)

Abstract: We consider symmetric activated random walks on $\mathbb{Z}$, and show that the critical density $\zeta_c$ satisfies $c\sqrt{\lambda} \leq \zeta_c(\lambda) \leq C \sqrt{\lambda}$ where $\lambda$ denotes the sleep rate.

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