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＜電子ブック＞
Mean Field Models for Spin Glasses : Volume I: Basic Examples / by Michel Talagrand
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 54)

版	1st ed. 2011.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	XVIII, 485 p : online resource
著者標目	*Talagrand, Michel author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical physics LCSH:Condensed matter FREE:Probability Theory FREE:Mathematical Methods in Physics FREE:Condensed Matter Physics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-642-15202-3

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