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Maximal clusters in non-critical percolation and related models

Remco van der Hofstad·Frank Redig
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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 are related to maxima of independent random variable with law described by a single cluster.

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Remco van der Hofstad, Frank Redig. 2004-02-11. Maximal clusters in non-critical percolation and related models. https://arxiv.org/abs/math/0402169

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