Maximal clusters in non-critical percolation and related models

Details Maximal clusters in non-critical percolation and related models Maximal clusters in non-critical percolation and related models

2004-02-11

arxiv.org/abs/math/0402169v1

Mathematics

Probability

26 pages, no figures

Scientific paper

We investigate the maximal non-critical cluster in a big box in various
percolation-type models. We investigate its typical size, and the fluctuations
around this typical size. The limit law of these fluctuations are related to
maxima of independent random variable with law described by a single cluster.

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