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Universality Conjectures for Activated Random Walk (2306.01698v2)
Published 2 Jun 2023 in math.PR, math-ph, and math.MP
Abstract: Activated Random Walk is a particle system displaying Self-Organized Criticality, in that the dynamics spontaneously drive 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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