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cond-mat.stat-mech2026
Activated random walk exhibits self-organized criticality
Christopher Hoffman, Tobias Johnson, Matthew Junge +1
To explain the ubiquity of power laws and fractals in nature, Bak, Tang, and Wiesenfeld formulated simple conditions for a system to self-organize into a critical state. Dickman, M…
math.PR2026
Explosivity in 1-d Activated Random Walk
Nicolas Forien, Christopher Hoffman, Tobias Johnson +3
We show that Activated Random Walk on is explosive above criticality. That is, activating a single particle in a supercritical state of sleeping particles triggers an…