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most citedLogarithmic kinetics and bundling in physical networks

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math.PR2026

Law of large numbers for activated random walk on villages

Balázs Ráth, Jacob Richey, Miklós Salánki

We consider activated random walk (ARW), an interacting particle system and prototypical model of self-organized criticality in a setting which combines mean-field behavior with th…

math.PR2026

Critical time of the almost 2-regular random degree constrained process

Balázs Ráth, Márton Szőke

We study the phase transition of the random degree constrained process (RDCP), a time-evolving random graph model introduced by Ruciński and Wormald that generalizes the random …