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arXiv · 1907.12694

Diffusive bounds for the critical density of activated random walks

Amine Asselah·Leonardo T. Rolla·Bruno Schapira
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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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Amine Asselah, Leonardo T. Rolla, Bruno Schapira. 2019-07-30. Diffusive bounds for the critical density of activated random walks. https://arxiv.org/abs/1907.12694

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