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November 1999 Positive correlations in the fuzzy Potts model
Olle Häggström
Ann. Appl. Probab. 9(4): 1149-1159 (November 1999). DOI: 10.1214/aoap/1029962867

Abstract

The fuzzy Potts model arises by taking the q-state Potts model, then identifying r of the Potts spins with the fuzzy spin 0, and the remaining $q - r$ Potts spins with the fuzzy spin 1. Here we extend a result of Chayes by showing that the fuzzy Potts model has positive correlations. We also give an application to the percolation-theoretic behavior of the Potts model on $\mathbf{Z}^2$.

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Olle Häggström. "Positive correlations in the fuzzy Potts model." Ann. Appl. Probab. 9 (4) 1149 - 1159, November 1999. https://doi.org/10.1214/aoap/1029962867

Information

Published: November 1999
First available in Project Euclid: 21 August 2002

zbMATH: 0957.60099
MathSciNet: MR1728557
Digital Object Identifier: 10.1214/aoap/1029962867

Subjects:
Primary: 60K35
Secondary: 82B20

Rights: Copyright © 1999 Institute of Mathematical Statistics

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Vol.9 • No. 4 • November 1999
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