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arxiv: 0705.3781 · v1 · submitted 2007-05-25 · 🧮 math.PR

Poisson approximation for large clusters in the supercritical FK model

classification 🧮 math.PR
keywords clusterslargemodelpoissonsupercriticalapproximatesapproximationchen-stein
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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.

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