Bounds for diluted mean-fields spin glass models

Dmitry Panchenko; Michel Talagrand

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Bounds for diluted mean-fields spin glass models

Dmitry Panchenko·Michel Talagrand

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Abstract

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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Dmitry Panchenko, Michel Talagrand. 2004-05-18. Bounds for diluted mean-fields spin glass models. https://arxiv.org/abs/math/0405357

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