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Field name	Details
Dewey Class	530.413
Title	Mean Field Models for Spin Glasses ([EBook]) : Volume I: Basic Examples / by Michel Talagrand.
Author	Talagrand, Michel. , 1952-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2011.
Physical Details	XVIII, 485 pages : online resource.
Series	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 54
ISBN	9783642152023
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-15202-3
Links to Related Works	Subject References: Condensed Matter Physics . Distribution (Probability theory) . Mathematical Methods in Physics . Mathematical Physics . Probability theory and stochastic processes . Spin glasses - Mathematical models . Authors: Talagrand, Michel. 1952- . Corporate Authors: SpringerLink (Online service) . Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics . Classification: 530.413 . 530.413 (DDC 22) .

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Mean Field Models for Spin Glasses: Volume I: Basic Examples

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