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avalanche dynamics 1cellular automata 1fluctuation statistics 1fractal dimension 1phase transitions 1

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1 paper

cond-mat.stat-mech2026

From Exponential to Gaussian Tails: Fractal Wavefront Scaling and the -Weibull Distribution at Phase Transitions

O. V. Pavlovsky, M. Yu. Satleikin

The paper studies how a stochastic cellular‑automaton model of an active medium behaves near a phase transition, showing two distinct activity regimes whose fractal dimensions and…