18 citations · 21 across the 5 of their papers we have counts for
8 papers
Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters
Jacob van den Berg, Demeter Kiss, Pierre Nolin
Frozen percolation on the binary tree was introduced by Aldous around fifteen years ago, inspired by sol-gel transitions. We investigate a version of the model on the triangular la…
Conformal Measure Ensembles for Percolation and the FK-Ising model
Federico Camia, Rene Conijn, Demeter Kiss
Under some general assumptions, we construct the scaling limit of open clusters and their associated counting measures in a class of two dimensional percolation models. Our results…
Large deviation bounds for the volume of the largest cluster in 2D critical percolation
Demeter Kiss
Let M_n denote the number of sites in the largest cluster in critical site percolation on the triangular lattice inside a box side length n. We give lower and upper bounds on the p…
Planar lattices do not recover from forest fires
Demeter Kiss, Ioan Manolescu, Vladas Sidoravicius
Self-destructive percolation with parameters is obtained by taking a site percolation configuration with parameter , closing all sites belonging to infinite clusters, then…
Frozen percolation in two dimensions
Demeter Kiss
Aldous introduced a modification of the bond percolation process on the binary tree where clusters stop growing (freeze) as soon as they become infinite. We investigate the site ve…
A percolation process on the binary tree where large finite clusters are frozen
Jacob van den Berg, Demeter Kiss, Pierre Nolin
We study a percolation process on the planted binary tree, where clusters freeze as soon as they become larger than some fixed parameter N. We show that as N goes to infinity, the…