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Bounds for diluted mean-fields spin glass models

Authors:	Dmitry?Panchenko author-information" > author-information__contact u-icon-before" > mailto:panchenk@math.mit.edu" title=" panchenk@math.mit.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Michel?Talagrand

Affiliation:	(1) Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139, USA;(2) Equipe dAnalyse de lInstitut Mathématique, 4 place Jussieu, 75230 PARIS, Cedex 05;(3) Department of Mathematics, The Ohio-State university, OH 43210 Columbus, USA

Abstract:	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. We show 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.Supported by NSF grantRevised version: 30 December 2003

Keywords:	Spin glasses
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