Universality Conjectures for Activated Random Walk
Authors: Lionel Levine, Vittoria Silvestri
Abstract: Activated Random Walk is a particle system displaying Self-Organized Criticality, in that the dynamics spontaneously drives the system to a critical state. How universal is this critical state? We state many interlocking conjectures aimed at different aspects of this question: scaling limits, microscopic limits, temporal and spatial mixing, incompressibility, and hyperuniformity.
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