Replica bounds for diluted non-Poissonian spin systems
Disordered Systems and Neural Networks
2009-11-10 v2 Statistical Mechanics
Abstract
In this paper we extend replica bounds and free energy subadditivity arguments to diluted spin-glass models on graphs with arbitrary, non-Poissonian degree distribution. The new difficulties specific of this case are overcome introducing an interpolation procedure that stresses the relation between interpolation methods and the cavity method. As a byproduct we obtain self-averaging identities that generalize the Ghirlanda-Guerra ones to the multi-overlap case.
Keywords
Cite
@article{arxiv.cond-mat/0307367,
title = {Replica bounds for diluted non-Poissonian spin systems},
author = {Silvio Franz and Michele Leone and Fabio Lucio Toninelli},
journal= {arXiv preprint arXiv:cond-mat/0307367},
year = {2009}
}
Comments
Latex file, 15 pages, 2 eps figures; Weak point revised and corrected; Misprints corrected