Bounds for diluted mean-fields spin glass models
Probability
2011-11-10 v1 Disordered Systems and Neural Networks
Abstract
In an important recent paper, \cite{FL}, S. Franz and M. Leone prove rigorous lower bounds for the free energy of the diluted -spin model and the -sat model at any temperature. We show that the results for these two models are consequences of a single general principle. Our calculations are significantly simpler than those of \cite{FL}, even in the replica-symmetric case.
Keywords
Cite
@article{arxiv.math/0405357,
title = {Bounds for diluted mean-fields spin glass models},
author = {Dmitry Panchenko and Michel Talagrand},
journal= {arXiv preprint arXiv:math/0405357},
year = {2011}
}
Comments
17 pages