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most citedApproximate zero-one laws and sharpness of the percolation transition in a class of models including two-dimensional Ising percolation

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math.PR2012

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…