Rigorous results on some simple spin glass models

dc.creatorBovier, Anton
dc.creatorKurkova, Irina
dc.date2002-06-28
dc.date.accessioned2026-07-07T02:46:01Z
dc.date.available2026-07-07T02:46:01Z
dc.descriptionIn this paper we review some recent rigorous results that provide an essentially complete solution of a class of spin glass models introduced by Derrida in the 1980ies. These models are based on Gaussian random processes on $\{-1,1\}^N$ whose covariance is a function of a ultrametric distance on that set. We prove the convergence of the free energy as well as the Gibbs measures in an appropriate sense. These results confirm fully the predictions of the replica method including in situations where continuous replica symmetry breaking takes place.
dc.description33pp. Talk presented at Journees de Physique Statistique, Cergy, 2002
dc.identifierhttps://arxiv.org/abs/cond-mat/0206562
dc.identifierhttp://arxiv.org/abs/cond-mat/0206562
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19515
dc.subjectDisordered Systems and Neural Networks
dc.titleRigorous results on some simple spin glass models
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