Maximal clusters in non-critical percolation and related models

R.W. Hofstad, van der; F.H.J. Redig

doi:10.1007/s10955-005-8012-z

Maximal clusters in non-critical percolation and related models

R.W. Hofstad, van der, F.H.J. Redig

Statistics - Stieltjes

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10 Citations (Scopus)

Abstract

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 is related to maxima of independent random variables with law described by a single cluster.

Original language	English
Pages (from-to)	671-703
Journal	Journal of Statistical Physics
Volume	122
Issue number	4
DOIs	https://doi.org/10.1007/s10955-005-8012-z
Publication status	Published - 2006

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title = "Maximal clusters in non-critical percolation and related models",

abstract = "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 is related to maxima of independent random variables with law described by a single cluster.",

author = "{Hofstad, van der}, R.W. and F.H.J. Redig",

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