3 papers
math.PR2016
Boundary rules and breaking of self-organized criticality in 2D frozen percolation
Jacob van den Berg, Pierre Nolin
We study frozen percolation on the (planar) triangular lattice, where connected components stop growing ("freeze") as soon as their "size" becomes at least , for some parameter…
math.PR2015
Two-dimensional volume-frozen percolation: exceptional scales
Jacob van den Berg, Pierre Nolin
We study a percolation model on the square lattice, where clusters "freeze" (stop growing) as soon as their volume (i.e. the number of sites they contain) gets larger than N, the p…
math.PR2010
A percolation process on the square lattice where large finite clusters are frozen
Jacob van den Berg, Bernardo N. B. de Lima, Pierre Nolin
Aldous constructed a growth process for the binary tree where clusters freeze as soon as they become infinite. It was pointed out by Benjamini and Schramm that such a process does…