Computing the number of metastable states in infinite-range models

dc.creatorParisi, Giorgio
dc.date2006-02-15
dc.date.accessioned2026-07-07T07:01:44Z
dc.date.available2026-07-07T07:01:44Z
dc.descriptionIn these notes I will review the results that have been obtained in these last years on the computation of the number of metastable states in infinite-range models of disordered systems. This is a particular case of the problem of computing the exponentially large number of stationary points of a random function. Quite surprisingly supersymmetry plays a crucial role in this problem. A careful analysis of the physical implication of supersymmetry and of supersymmetry breaking will be presented: the most spectacular one is that in the Sherrington-Kirkpatrick model for spin glasses most of the stationary points are saddles, as predicted long time ago.
dc.descriptionLes houches lectures summer 2005, 22 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0602349
dc.identifierhttp://arxiv.org/abs/cond-mat/0602349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108365
dc.subjectDisordered Systems and Neural Networks
dc.subjectSoft Condensed Matter
dc.titleComputing the number of metastable states in infinite-range models
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