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The hockey-stick conjecture for activated random walk
Published 4 Nov 2024 in math.PR and cond-mat.stat-mech | (2411.02541v3)
Abstract: We prove a conjecture of Levine and Silvestri that the driven-dissipative activated random walk model on an interval drives itself directly to and then sustains a critical density. This marks the first rigorous confirmation of a sandpile model behaving as in Bak, Tang, and Wiesenfeld's original vision of self-organized criticality.
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