Correlation inequalities of GKS type for the Potts model

Details Correlation inequalities of GKS type for the Potts model Correlation inequalities of GKS type for the Potts model

2009-01-12

arxiv.org/abs/0901.1625v1

Physics

Mathematical Physics

Scientific paper

Correlation inequalities are presented for functionals of a ferromagnetic
Potts model with external field, using the random-cluster representation. These
results extend earlier inequalities of Ganikhodjaev--Razak and Schonmann, and
yield also GKS-type inequalities when the spin-space is taken as the set of qth
roots of unity.

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