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arXiv · 2306.01698

Universality Conjectures for Activated Random Walk

Lionel Levine·Vittoria Silvestri
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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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Lionel Levine, Vittoria Silvestri. 2023-06-02. Universality Conjectures for Activated Random Walk. https://arxiv.org/abs/2306.01698

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