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math.PR2026
Local Density of Activated Random Walk on
Christopher Hoffman, Jacob Richey, Hyojeong Son
We consider one-dimensional activated random walk (ARW) on started from a `point source' initial condition, with many particles at the origin and no other particles. W…
math.PR2024
Activated Random Walks on with Critical Particle Density
Madeline Brown, Christopher Hoffman, Hyojeong Son
The Activated Random Walk (ARW) model is a promising candidate for demonstrating self-organized criticality due to its potential for universality. Recent studies have shown that th…