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.
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}, mrnumber = {2572162}, zbl = {1193.82021}, language = {en}, url = {http://www.numdam.org/articles/10.1214/08-AIHP193/} }
TY - JOUR AU - Panchenko, Dmitry TI - Cavity method in the spherical SK model JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2009 SP - 1020 EP - 1047 VL - 45 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/articles/10.1214/08-AIHP193/ DO - 10.1214/08-AIHP193 LA - en ID - AIHPB_2009__45_4_1020_0 ER -
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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