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math.PR2021
Percolation of worms
Balázs Ráth, Sándor Rokob
We introduce a new correlated percolation model on the -dimensional lattice called the random length worms model. Assume given a probability distribution on the s…
math.PR2021
A phase transition between endogeny and nonendogeny
Balázs Ráth, Jan M. Swart, Márton Szőke
The Marked Binary Branching Tree (MBBT) is the family tree of a rate one binary branching process, on which points have been generated according to a rate one Poisson point process…