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Bounds for diluted mean-fields spin glass models

Dmitry Panchenko, Michel Talagrand

math.PRarXiv:math/0405357

Abstract

In an important recent paper, 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 FL, even in the replica-symmetric case.

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