Positive correlations in the fuzzy Potts model
Häggström, Olle
Ann. Appl. Probab., Tome 9 (1999) no. 1, p. 1149-1159 / Harvested from Project Euclid
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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 $\mathbf{Z}^2$.
Publié le : 1999-11-14
Classification:  Hidden Markov random field,  FKG inequality,  60K35,  82B20 
@article{1029962867,
     author = {H\"aggstr\"om, Olle},
     title = {Positive correlations in the fuzzy Potts model},
     journal = {Ann. Appl. Probab.},
     volume = {9},
     number = {1},
     year = {1999},
     pages = { 1149-1159},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1029962867}
}

Häggström, Olle. Positive correlations in the fuzzy Potts model. Ann. Appl. Probab., Tome 9 (1999) no. 1, pp.  1149-1159. http://gdmltest.u-ga.fr/item/1029962867/