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Mean field models for spin glasses. Volume I, Basic examples

Author: Michel Talagrand
Publisher: Berlin ; Heidelberg : Springer, ©2011.
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, v. 54.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michel Talagrand
ISBN: 9783642152023 3642152023 3642152015 9783642152016
OCLC Number: 695389115
Description: 1 online resource (xviii, 485 pages).
Contents: 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.
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete, v. 54.
Other Titles: Basic examples
Responsibility: Michel Talagrand.
More information:

Abstract:

This rigorous introduction to an exciting new research domain is aimed at the mathematically minded and requires no knowledge of any physics. In a new and reworked edition, this first volume presents  Read more...

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From the reviews: "It builds stone by stone a remarkable construction, revealing at each step a new piece of the fascinating picture of mean-field spin glass models. ... Enlightening explanations, Read more...

 
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