Activated random walk on the complete graph has stationary particle count concentrating at ρ_c N + a √(N log N) with ρ_c = λ/(1+λ) and a = √λ/(1+λ).
Universali ty and sharpness in activated ran- dom walks
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The number of particles in activated random walk on the complete graph
Activated random walk on the complete graph has stationary particle count concentrating at ρ_c N + a √(N log N) with ρ_c = λ/(1+λ) and a = √λ/(1+λ).