Mean Field Models for Spin Glasses [recurso electrónico] : Volume I: Basic Examples / by Michel Talagrand.
Tipo de material: TextoSeries Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 54Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: XVIII, 485 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642152023Tema(s): Mathematics | Distribution (Probability theory) | Mathematical physics | Mathematics | Probability Theory and Stochastic Processes | Mathematical Methods in Physics | Condensed Matter PhysicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 519.2 Clasificación LoC:QA273.A1-274.9QA274-274.9Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA273 .A1-274.9 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 374963-2001 |
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QA273 .A1-274.9 Lévy Matters I | QA273 .A1-274.9 Measure-Valued Branching Markov Processes | QA273 .A1-274.9 Normal Approximation by Stein’s Method | QA273 .A1-274.9 Mean Field Models for Spin Glasses | QA273 .A1-274.9 Séminaire de Probabilités XLIII | QA273 .A1-274.9 Stochastic Analysis 2010 | QA273 .A1-274.9 Stochastic Differential Equations in Infinite Dimensions |
Introduction -- 1. The Sherrington-Kirkpatrick Model -- 2. The Perceptron Model -- 3. The Shcherbina and Tirozzi Model -- 4. The Hopfield Model -- 5. The V-statistics Model -- 6. The Diluted SK Model and the K-Sat Problem -- 7. An Assignment Problem -- A. Appendix: Elements of Probability Theory -- References -- Index -- Glossary.
This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians". This new edition will appear in two volumes, the present first volume presents the basic results and methods, the second volume is expected to appear in 2011. In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The first volume of this new and completely rewritten edition presents six fundamental models and the basic techniques to study them.
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