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.
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Der Hofstad, R.v., Redig, F. Maximal Clusters in Non-Critical Percolation and Related Models. J Stat Phys 122, 671–703 (2006). https://doi.org/10.1007/s10955-005-8012-z
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DOI: https://doi.org/10.1007/s10955-005-8012-z