Positive correlations in the fuzzy Potts model

Authors
Haggstrom, O
Citation
O. Haggstrom, Positive correlations in the fuzzy Potts model, ANN APPL PR, 9(4), 1999, pp. 1149-1159
Citations number
19
Categorie Soggetti
Mathematics
Journal title
ANNALS OF APPLIED PROBABILITY
ISSN journal
10505164 → ACNP
Volume
9
Issue
4
Year of publication
1999
Pages
1149 - 1159
Database
ISI
SICI code
1050-5164(199911)9:4<1149:PCITFP>2.0.ZU;2-#
Abstract
The fuzzy Potts model arises by taking the q-state Potts model, then identi fying r of the Potts spins with the fuzzy spin 0, and the remaining q - r P otts spins with the fuzzy spin 1. Here we extend a result of Chayes by show ing that the fuzzy Potts model has positive correlations. We also give an a pplication to the percolation-theoretic behavior of the Potts model on Z(2) .