Maximal clusters in non-critical percolation and related models
Probability
2007-05-23 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0402169,
title = {Maximal clusters in non-critical percolation and related models},
author = {Remco van der Hofstad and Frank Redig},
journal= {arXiv preprint arXiv:math/0402169},
year = {2007}
}
Comments
26 pages, no figures