Positive correlations in the fuzzy Potts model

Authors
Häggström, Olle
Citation
Häggström, Olle, Positive correlations in the fuzzy Potts model, Annals of applied probability , 9(4), 1999, pp. 1149-1159
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
9
Issue
4
Year of publication
1999
Pages
1149 - 1159
Database
ACNP
SICI code
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 Z2.