Cavity method in the spherical SK model
Dmitry Panchenko
Source: Ann. Inst. H. Poincaré Probab. Statist. Volume 45, Number 4
(2009), 1020-1047.
Abstract
We develop a cavity method for the spherical Sherrington–Kirkpatrick model at high temperature and small external field. As one application we compute the limit of the covariance matrix for fluctuations of the overlap and magnetization.
Résumé
Nous développons la méthode de la cavité pour le modèle sphérique de Sherrington–Kirkpatrick à haute température et champs externe faible. Nous illustrons la méthode par le calcul de la matrice de covariance des fluctuations des recouvrements et de la magnétisation.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aihp/1257529890
Digital Object Identifier: doi:10.1214/08-AIHP193
Zentralblatt MATH identifier: 05758868
Mathematical Reviews number (MathSciNet): MR2572162
References
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Zentralblatt MATH: 1034.82027
Digital Object Identifier: doi:10.1214/aop/1019160325
Project Euclid: euclid.aop/1019160325
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Digital Object Identifier: doi:10.1007/s10955-006-9108-9
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
