Finite connections for supercritical Bernoulli bond percolation in 2D

Details Finite connections for supercritical Bernoulli bond percolation in 2D Finite connections for supercritical Bernoulli bond percolation in 2D

2009-10-11

arxiv.org/abs/0910.1831v1

Mathematics

Probability

Scientific paper

Two vertices are said to be finitely connected if they belong to the same
cluster and this cluster is finite. We derive sharp asymptotics for finite
connection probabilities for supercritical Bernoulli bond percolation on Z^2.

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