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 $\mathbf{Z}^2$.
Citation
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
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