DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baik, Jinho | ko |
dc.contributor.author | Lee, Ji Oon | ko |
dc.date.accessioned | 2020-12-16T06:30:05Z | - |
dc.date.available | 2020-12-16T06:30:05Z | - |
dc.date.created | 2020-11-23 | - |
dc.date.created | 2020-11-23 | - |
dc.date.issued | 2020-11 | - |
dc.identifier.citation | ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, v.56, no.4, pp.2897 - 2934 | - |
dc.identifier.issn | 0246-0203 | - |
dc.identifier.uri | http://hdl.handle.net/10203/278558 | - |
dc.description.abstract | We consider the free energy of the bipartite spherical Sherrington-Kirkpatrick model and determine the limiting free energy at every temperature. We also prove the convergence of the law of the fluctuations of the free energy at non-critical temperature. The limit is given by the Gaussian distribution for all high temperatures and by the GOE Tracy-Widom distribution for all low temperatures. The result is universal and the analysis is applicable to a more general setting including the case where the disorders are non-identically distributed. | - |
dc.language | English | - |
dc.publisher | INST MATHEMATICAL STATISTICS | - |
dc.title | Free energy of bipartite spherical Sherrington-Kirkpatrick model | - |
dc.type | Article | - |
dc.identifier.wosid | 000582036900025 | - |
dc.identifier.scopusid | 2-s2.0-85094939554 | - |
dc.type.rims | ART | - |
dc.citation.volume | 56 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 2897 | - |
dc.citation.endingpage | 2934 | - |
dc.citation.publicationname | ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | - |
dc.identifier.doi | 10.1214/20-AIHP1062 | - |
dc.contributor.localauthor | Lee, Ji Oon | - |
dc.contributor.nonIdAuthor | Baik, Jinho | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Free energy | - |
dc.subject.keywordAuthor | Bipartite spherical SK model | - |
dc.subject.keywordAuthor | Phase transition | - |
dc.subject.keywordPlus | LINEAR SPECTRAL STATISTICS | - |
dc.subject.keywordPlus | SAMPLE COVARIANCE MATRICES | - |
dc.subject.keywordPlus | LARGEST EIGENVALUE | - |
dc.subject.keywordPlus | SPIN | - |
dc.subject.keywordPlus | FLUCTUATIONS | - |
dc.subject.keywordPlus | UNIVERSALITY | - |
dc.subject.keywordPlus | CLT | - |
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