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.
@article{1257529890,
author = {Panchenko, Dmitry},
title = {Cavity method in the spherical SK model},
journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
volume = {45},
number = {1},
year = {2009},
pages = { 1020-1047},
language = {en},
url = {http://dml.mathdoc.fr/item/1257529890}
}
Panchenko, Dmitry. Cavity method in the spherical SK model. Ann. Inst. H. Poincaré Probab. Statist., Tome 45 (2009) no. 1, pp. 1020-1047. http://gdmltest.u-ga.fr/item/1257529890/