Fluctuations of the Free Energy of the Spherical Sherrington-Kirkpatrick Model

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dc.contributor.authorBaik, Jinhoko
dc.contributor.authorLee, JiOonko
dc.date.accessioned2016-11-29T05:07:24Z-
dc.date.available2016-11-29T05:07:24Z-
dc.date.created2016-11-08-
dc.date.created2016-11-08-
dc.date.created2016-11-08-
dc.date.issued2016-10-
dc.identifier.citationJOURNAL OF STATISTICAL PHYSICS, v.165, no.2, pp.185 - 224-
dc.identifier.issn0022-4715-
dc.identifier.urihttp://hdl.handle.net/10203/214103-
dc.description.abstractWe consider the fluctuations of the free energy for the 2-spin spherical Sherrington-Kirkpatrick model with no magnetic field. We show that the law of the fluctuations converges to the Gaussian distribution when the temperature is above the critical temperature, and to the GOE Tracy-Widom distribution when the temperature is below the critical temperature. The orders of the fluctuations are markedly different in these two regimes. A universality of the limit law is also proved-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.titleFluctuations of the Free Energy of the Spherical Sherrington-Kirkpatrick Model-
dc.typeArticle-
dc.identifier.wosid000385182000001-
dc.identifier.scopusid2-s2.0-84986331412-
dc.type.rimsART-
dc.citation.volume165-
dc.citation.issue2-
dc.citation.beginningpage185-
dc.citation.endingpage224-
dc.citation.publicationnameJOURNAL OF STATISTICAL PHYSICS-
dc.identifier.doi10.1007/s10955-016-1610-0-
dc.contributor.localauthorLee, JiOon-
dc.contributor.nonIdAuthorBaik, Jinho-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorFree energy-
dc.subject.keywordAuthorSpherical SK model-
dc.subject.keywordAuthorTracy-Widom distribution-
dc.subject.keywordPlusSPIN-GLASS MODEL-
dc.subject.keywordPlusSAMPLE COVARIANCE MATRICES-
dc.subject.keywordPlusINTERMEDIATE DISORDER REGIME-
dc.subject.keywordPlusLOCAL EIGENVALUE STATISTICS-
dc.subject.keywordPlusLINEAR SPECTRAL STATISTICS-
dc.subject.keywordPlusDIRECTED POLYMERS-
dc.subject.keywordPlusWIGNER MATRICES-
dc.subject.keywordPlusRANDOM ENVIRONMENT-
dc.subject.keywordPlusBETA-ENSEMBLES-
dc.subject.keywordPlusUNIVERSALITY-
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