Free energy of bipartite spherical Sherrington-Kirkpatrick model

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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.
Publisher
INST MATHEMATICAL STATISTICS
Issue Date
2020-11
Language
English
Article Type
Article
Citation

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, v.56, no.4, pp.2897 - 2934

ISSN
0246-0203
DOI
10.1214/20-AIHP1062
URI
http://hdl.handle.net/10203/278558
Appears in Collection
MA-Journal Papers(저널논문)
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