Bounds for diluted mean-fields spin glass models

In an important recent paper, (2), 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. This study shows that the results for these two models are consequences of a single general principle. Our calculations are signi...

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Bibliographic Details
Published inProbability theory and related fields Vol. 130; no. 3; pp. 319 - 336
Main Authors PANCHENKO, Dmitry, TALAGRAND, Michel
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.11.2004
Berlin Springer Nature B.V
New York, NY
Subjects
Digital Object Identifier
Dilution
Exact sciences and technology
Fluctuation phenomena, random processes, noise, and brownian motion
Free energy
Lower bounds
Mathematical models
Mathematics
Physics
Probability
Random variables
Spin glasses
Statistical physics, thermodynamics, and nonlinear dynamical systems
Studies
Theory
Lower bound
Spin glasses
Mean estimation
Probability theory
Free energy
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Summary:In an important recent paper, (2), 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. This study shows that the results for these two models are consequences of a single general principle. Our calculations are significantly simpler than those of (2), even in the replica-symmetric case.
ISSN:0178-8051
1432-2064
DOI:10.1007/s00440-004-0342-2