Cavity method in the spherical SK model
Annales de l'I.H.P. Probabilités et statistiques, Tome 45 (2009) no. 4, pp. 1020-1047.

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.

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.

DOI : 10.1214/08-AIHP193
Classification : 60K35, 82B44
Mots-clés : Sherrington-Kirkpatrick model, cavity method 
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Panchenko, Dmitry. Cavity method in the spherical SK model. Annales de l'I.H.P. Probabilités et statistiques, Tome 45 (2009) no. 4, pp. 1020-1047. doi : 10.1214/08-AIHP193. http://www.numdam.org/articles/10.1214/08-AIHP193/

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