Cavity method in the spherical Sherrington-Kirkpatrick model

Details Cavity method in the spherical Sherrington-Kirkpatrick model Cavity method in the spherical Sherrington-Kirkpatrick model

2006-04-04

arxiv.org/abs/math/0604081v3

Ann. Inst. H. Poincare Probab. Statist. Volume 45, Number 4 (2009), 1020-1047.

Mathematics

Probability

updated version, results rewritten for general SK type Hamiltonian

Scientific paper

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.

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