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 : https://doi.org/10.1214/08-AIHP193
Classification : 60K35,  82B44
Mots clés : 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},
     pages = {1020--1047},
     publisher = {Gauthier-Villars},
     volume = {45},
     number = {4},
     year = {2009},
     doi = {10.1214/08-AIHP193},
     zbl = {1193.82021},
     mrnumber = {2572162},
     language = {en},
     url = {archive.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, Tome 45 (2009) no. 4, pp. 1020-1047. doi : 10.1214/08-AIHP193. http://archive.numdam.org/item/AIHPB_2009__45_4_1020_0/

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