Cavity method in the spherical Sherrington-Kirkpatrick model
Probability
2010-02-01 v3 Mathematical Physics
math.MP
Abstract
We develop a cavity method in 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.
Cite
@article{arxiv.math/0604081,
title = {Cavity method in the spherical Sherrington-Kirkpatrick model},
author = {Dmitry Panchenko},
journal= {arXiv preprint arXiv:math/0604081},
year = {2010}
}
Comments
updated version, results rewritten for general SK type Hamiltonian