Poisson approximation for large clusters in the supercritical FK model

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Using the Chen-Stein method, we show that the spatial distribution of large finite clusters in the supercritical FK model approximates a Poisson process when the ratio weak mixing property holds.
17 pages

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Probability, 60K35, 82B20

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http://salesiana.dossiersoluciones.com/handle/123456789/129508

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.3781
 http://arxiv.org/abs/0705.3781
 Markov Process. Related Fields 12, 4 (2006) 627-643

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arXiv