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Diffusive bounds for the critical density of activated random walks

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 نشر من قبل Leonardo Rolla
 تاريخ النشر 2019
  مجال البحث فيزياء
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We consider symmetric activated random walks on $mathbb{Z}$, and show that the critical density $zeta_c$ satisfies $csqrt{lambda} leq zeta_c(lambda) leq C sqrt{lambda}$ where $lambda$ denotes the sleep rate.

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