High temperature Sherrington-Kirkpatrick model for general spins
Probability
2007-05-23 v1
Abstract
Francesco Guerra and Fabio Toninelli have developped a very powerful technique to study the high temperature behaviour of the Sherrington-Kirkpatrick mean field spin glass model. They show that this model is asymptoticaly comparable to a linear model. The key ingredient is a clever interpolation technique between the two different Hamiltonians describing the models. This paper contribution to the subject are the following: (1) The replica-symmetric solution holds for general spins, not just valued. (2) The proof does not involve cavitation but only first order differential calculus and Gaussian integration by parts.
Keywords
Cite
@article{arxiv.math/0210140,
title = {High temperature Sherrington-Kirkpatrick model for general spins},
author = {Philippe Carmona},
journal= {arXiv preprint arXiv:math/0210140},
year = {2007}
}