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Correlation length in the planar Random-Cluster Model

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Defense Maîtrise : Univ. Genève, 2014
Abstract We define the correlation length Lp in terms of crossing probabilities for the Random-Cluster Model with 1 ≤q≤4 . Then we show its equivalence with the standard definition of correlation length defined in terms of exponential decay of correlations. The proof uses the recently developed RSW theory for Random-Cluster measures.
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DUBOUT, Jeremy. Correlation length in the planar Random-Cluster Model. Université de Genève. Maîtrise, 2014. https://archive-ouverte.unige.ch/unige:41222

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Deposited on : 2014-10-28

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