%0 Journal Article %T Correlation inequalities of GKS type for the Potts model %A Geoffrey Grimmett %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0901.1625v1