3 papers
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 …
math.PR2025
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…
math.PR2024
Permuton limit of a generalization of the Mallows and -card-minimum models
Joanna Jasińska, 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…