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Cover: 9783642152016 | Mean Field Models for Spin Glasses | Volume I: Basic Examples | Buch
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Mean Field Models for Spin Glasses
Volume I: Basic Examples
Buch von Michel Talagrand
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
M. Talagrand is Research Director in CNRS, and Member of the French Academy of Sciences since 2004.
Zusammenfassung

Completely rewritten, updated and enlarged edition of Talagrand's Ergebnisse Vol.

46: "Spin Glasses: A Challenge for Mathematicians" (2003) in two volumes.

Will bring a reader with no previous knowledge of Spin Glasses to the frontier of current research.

The only fully rigorous treatise of this scale on the subject.

This first volume presents the basic results and methods.

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2010
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 504
Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
ISBN-13: 9783642152016
ISBN-10: 3642152015
Sprache: Englisch
Herstellernummer: 80021025
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Talagrand, Michel
Auflage: 2nd, revidierte and enlarged ed. 2011
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Maße: 241 x 160 x 32 mm
Von/Mit: Michel Talagrand
Erscheinungsdatum: 12.11.2010
Gewicht: 0,916 kg
preigu-id: 107439128
Über den Autor
M. Talagrand is Research Director in CNRS, and Member of the French Academy of Sciences since 2004.
Zusammenfassung

Completely rewritten, updated and enlarged edition of Talagrand's Ergebnisse Vol.

46: "Spin Glasses: A Challenge for Mathematicians" (2003) in two volumes.

Will bring a reader with no previous knowledge of Spin Glasses to the frontier of current research.

The only fully rigorous treatise of this scale on the subject.

This first volume presents the basic results and methods.

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2010
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 504
Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
ISBN-13: 9783642152016
ISBN-10: 3642152015
Sprache: Englisch
Herstellernummer: 80021025
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Talagrand, Michel
Auflage: 2nd, revidierte and enlarged ed. 2011
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Maße: 241 x 160 x 32 mm
Von/Mit: Michel Talagrand
Erscheinungsdatum: 12.11.2010
Gewicht: 0,916 kg
preigu-id: 107439128
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