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math.PR2012
BK-type inequalities and generalized random-cluster representations
J. van den Berg, A. Gandolfi
Recently, van den Berg and Jonasson gave the first substantial extension of the BK inequality for non-product measures: they proved that, for k-out-of-n measures, the probability t…
math.PR2002★ 14 cited
The lowest crossing in 2D critical percolation
J. van den Berg, A. A. Jarai
We study the following problem for critical site percolation on the triangular lattice. Let A and B be sites on a horizontal line e separated by distance n. Consider, in the half-p…