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dc.contributor.authorGrimmett, Geoffreyen
dc.date.accessioned2016-04-12T16:17:34Z
dc.date.available2016-04-12T16:17:34Z
dc.identifier.citationGrimmett. Mathematics and Mechanics of Complex Systems (2016)en
dc.identifier.issn2326-7186
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/254942
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 q-th roots of unity.
dc.description.sponsorshipThis work was supported in part by the Engineering and Physical Sciences Research Council under grant EP/I03372X/1.
dc.language.isoenen
dc.publisherMathematical Sciences Publishers
dc.subjectGriffiths inequalityen
dc.subjectGKS inequalityen
dc.subjectIsing modelen
dc.subjectPotts modelen
dc.subjectrandom-cluster modelen
dc.subjectangular spinsen
dc.titleCorrelation inequalities of GKS type for the Potts modelen
dc.typeArticle
prism.endingPage334
prism.issueIdentifier3-4en
prism.publicationNameMathematics and Mechanics of Complex Systemsen
prism.startingPage327
prism.volume4en
dc.rioxxterms.funderEPSRC
dc.rioxxterms.projectidEP/103372X/1
dcterms.dateAccepted2016-03-28en
rioxxterms.versionofrecord10.2140/memocs.2016.4.327en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2016-03-28en
dc.contributor.orcidGrimmett, Geoffrey [0000-0001-7646-3368]
dc.identifier.eissn2325-3444
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/I03372X/1)
cam.issuedOnline2016-12-17en
cam.orpheus.successThu Jan 30 12:54:30 GMT 2020 - The item has an open VoR version.*
rioxxterms.freetoread.startdate2100-01-01


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