Bounds for diluted mean-fields spin glass models
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2004
- DOI:
- 10.48550/arXiv.math/0405357
- arXiv:
- arXiv:math/0405357
- Bibcode:
- 2004math......5357P
- Keywords:
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- Mathematics - Probability;
- Condensed Matter - Disordered Systems and Neural Networks;
- 60K35;
- 82D30;
- 82B44
- E-Print:
- 17 pages