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Abstract
Correlation inequalities are presented for ferromagnetic Potts models with external
field, using the random-cluster representation of Fortuin and Kasteleyn,
together with the FKG inequality. These results extend and simplify earlier
inequalities of Ganikhodjaev and Razak, and also of Schonmann, and
include GKS-type inequalities when the spin space is taken as the set of
q
Dedicated in friendship to Lucio
Russo
Keywords
Griffiths inequality, GKS inequality, Ising model, Potts
model, random-cluster model, angular spins
Mathematical Subject Classification 2010
Primary: 82B20, 60K35
Milestones
Received: 3 December 2015
Accepted: 28 March 2016
Published: 17 December 2016
Communicated by Raffaele Esposito
