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

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.

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.

DOI : https://doi.org/10.1214/08-AIHP193
Classification:  60K35,  82B44
Keywords: Sherrington-Kirkpatrick model, cavity method
@article{AIHPB_2009__45_4_1020_0,
     author = {Panchenko, Dmitry},
     title = {Cavity method in the spherical SK model},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     publisher = {Gauthier-Villars},
     volume = {45},
     number = {4},
     year = {2009},
     pages = {1020-1047},
     doi = {10.1214/08-AIHP193},
     zbl = {1193.82021},
     mrnumber = {2572162},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_2009__45_4_1020_0}
}
Panchenko, Dmitry. Cavity method in the spherical SK model. Annales de l'I.H.P. Probabilités et statistiques, Volume 45 (2009) no. 4, pp. 1020-1047. doi : 10.1214/08-AIHP193. http://www.numdam.org/item/AIHPB_2009__45_4_1020_0/

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