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math.PR2022
The Critical Density for Activated Random Walks is always less than 1
Amine Asselah, Nicolas Forien, Alexandre Gaudillière
Activated Random Walks, on for any , is an interacting particle system, where particles can be in either of two states: active or frozen. Each active p…
math.PR2022★ 3 cited
Active Phase for Activated Random Walks on the Lattice in all Dimensions
Nicolas Forien, Alexandre Gaudillière
We show that the critical density of the Activated Random Walk model on is strictly less than one when the sleep rate is small enough, and tends to when $λ\t…