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math.PR2010
A percolation process on the square lattice where large finite clusters are frozen
Jacob van den Berg, Bernardo N. B. de Lima, Pierre Nolin
Aldous constructed a growth process for the binary tree where clusters freeze as soon as they become infinite. It was pointed out by Benjamini and Schramm that such a process does…
math.PR2010
Monotonicity of Percolation Probability on with Long Range Connections
Bernardo N. B. de Lima, Rémy Sanchis, Roger W. C. Silva
Consider an independent site percolation model on , with parameter , where there are only nearest neighbor bonds and long range bonds of length par…