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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 …