14 citations · 30 across the 14 of their papers we have counts for
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math.PR2015★ 1 cited
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…
math.PR2015★ 1 cited
The expected number of critical percolation clusters intersecting a line segment
Jacob van den Berg, Rene Conijn
We study critical percolation on a regular planar lattice. Let be the expected number of open clusters intersecting or hitting the line segment . (For the subscript…
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…