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Mean Field Models for Spin Glasses : Volume I: Basic Examples / by Michel Talagrand

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 54 | SpringerLink BücherPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: Online-Ressource (XVIII, 485p, digital)ISBN:
  • 9783642152023
Subject(s): Additional physical formats: 9783642152016 | Erscheint auch als: Mean field models for spin glasses. Druck-Ausgabe Berlin : Springer, 2010MSC: MSC: *82-02 | 82B44 | 82D30RVK: RVK: SK 950LOC classification:
  • QA273.A1-274.9 QA274-274.9
DOI: DOI: 10.1007/978-3-642-15202-3Online resources: Summary: 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.Summary: 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.PPN: PPN: 165061411XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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