Activated random walk on a cycle

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, pp. 1258-1277, 2019.

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Abstract:

We consider Activated Random Walk (ARW), a particle system with mass conservation, on the cycle Z/n Z. One starts with a mass density mu > 0 of initially active particles, each of which performs a simple symmetric random walk at rate one and falls asleep at rate lambda > 0. Sleepy particles become active on coming in contact with other ac...More

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