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Correlation inequalities of GKS type for the Potts model

dc.creatorGrimmett, Geoffrey Richard
dc.date.accessioned2016-03-28
dc.date.accessioned2018-11-24T23:26:41Z
dc.date.available2016-04-12T16:17:34Z
dc.date.available2018-11-24T23:26:41Z
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/254942
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3863
dc.description.abstractCorrelation 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 qth roots of unity.
dc.languageen
dc.publisherMath­em­at­ic­al Sci­ences Pub­lish­ers
dc.publisherMathematics and Mechanics of Complex Systems
dc.subjectGriffiths inequality
dc.subjectGKS inequality
dc.subjectIsing model
dc.subjectPotts model
dc.subjectrandom-cluster model
dc.subjectangular spins
dc.titleCorrelation inequalities of GKS type for the Potts model
dc.typeArticle


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