arXiv Analytics

Sign in

arXiv:math/0405357 [math.PR]AbstractReferencesReviewsResources

Bounds for diluted mean-fields spin glass models

Dmitry Panchenko, Michel Talagrand

Published 2004-05-18Version 1

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.

Comments: 17 pages
Journal: 2004 Prob. Theory Related Fields 130 No. 3
Categories: math.PR, cond-mat.dis-nn
Subjects: 60K35, 82D30, 82B44
Related articles: Most relevant | Search more
arXiv:1608.06256 [math.PR] (Published 2016-08-22)
On the $K$-sat model with large number of clauses
arXiv:2011.02303 [math.PR] (Published 2020-11-04)
Belief Propagation on the random $k$-SAT model
arXiv:1703.07211 [math.PR] (Published 2017-03-21)
Disorder chaos in some diluted spin glass models

Links

Toolbox