Free energy upper bound for mean-field vector spin glasses
Probability
2021-12-06 v2 Disordered Systems and Neural Networks
Abstract
We consider vector spin glasses whose energy function is a Gaussian random field with covariance given in terms of the matrix of scalar products. For essentially any model in this class, we give an upper bound for the limit free energy, which is expected to be sharp. The bound is expressed in terms of an infinite-dimensional Hamilton-Jacobi equation.
Keywords
Cite
@article{arxiv.2010.09114,
title = {Free energy upper bound for mean-field vector spin glasses},
author = {Jean-Christophe Mourrat},
journal= {arXiv preprint arXiv:2010.09114},
year = {2021}
}
Comments
43 pages