3 citations · 4 across the 4 of their papers we have counts for
5 papers
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…
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…
Factorization Formulas for Critical Percolation, Revisited
Rene Conijn
We consider critical site percolation on the triangular lattice in the upper half-plane. Let be two sites on the boundary and a site in the interior of the half-plan…
The gaps between the sizes of large clusters in 2D critical percolation
Jacob van den Berg, Rene Conijn
Consider critical bond percolation on a large 2n by 2n box on the square lattice. It is well-known that the size (i.e. number of vertices) of the largest open cluster is, with high…
On the size of the largest cluster in 2D critical percolation
Jacob van den Berg, Rene Conijn
We consider (near-)critical percolation on the square lattice. Let M_n be the size of the largest open cluster contained in the box [-n,n]^2, and let pi(n) be the probability that…