Bounds for diluted mean-fields spin glass models

Details Bounds for diluted mean-fields spin glass models Bounds for diluted mean-fields spin glass models

2004-05-18

arxiv.org/abs/math/0405357v1

2004 Prob. Theory Related Fields 130 No. 3

Mathematics

Probability

17 pages

Scientific paper

In an important recent paper, \cite{FL}, S. Franz and M. Leone prove rigorous
lower bounds for the free energy of the diluted $p$-spin model and the $K$-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.

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