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math.PR2002
Lower bounds for boundary roughness for droplets in Bernoulli percolation
Hasan B. Uzun, Kenneth S. Alexander
We consider boundary roughness for the ``droplet'' created when supercritical two-dimensional Bernoulli percolation is conditioned to have an open dual circuit surrounding the orig…
math.PR2002★ 3 cited
Separated-occurrence inequalities for dependent percolation and Ising models
Kenneth S. Alexander
Separated-occurrence inequalities are variants for dependent lattice models of the van den Berg-Kesten inequality for independent models. They take the form $P(A \circ_r B) \leq (1…