4 papers · 1 filter
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…
Critical time of the almost 2-regular random degree constrained process
Balázs Ráth, Márton SzÅke
We study the phase transition of the random degree constrained process (RDCP), a time-evolving random graph model introduced by RuciÅski and Wormald that generalizes the random $d…
Asymptotics for the percolation threshold of finitary random interlacements in four and higher dimensions
Yijie Bi, Zhenhao Cai, Xinyi Li +2
We establish sharp asymptotic bounds for the critical intensity of the Finitary Random Interlacements (FRI) model in four and higher dimensions with general trajectory length distr…
Permuton limit of a generalization of the Mallows and -card-minimum models
Joanna JasiÅska, Balázs Ráth
We introduce and study a new random permutation model that generalizes the -card minimum model defined by Travers and the Mallows model. We calculate the permuton limit of such…