Mean Field Models for Spin Glasses

Volume I: Basic Examples

  • Michel Talagrand

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Michel Talagrand
    Pages 1-149
  3. Michel Talagrand
    Pages 151-190
  4. Michel Talagrand
    Pages 191-236
  5. Michel Talagrand
    Pages 237-296
  6. Michel Talagrand
    Pages 297-323
  7. Michel Talagrand
    Pages 325-395
  8. Michel Talagrand
    Pages 397-433
  9. Back Matter
    Pages 435-485

About this book

Introduction

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.

Keywords

Disordered Systems Hopfield Model Mean Field Models Random Structures Sherrington Kirkpatrick Model

Authors and affiliations

  • Michel Talagrand
    • 1
  1. 1.Institut de mathématiquesUniversité Paris 6Paris Cedex 05France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15202-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-15201-6
  • Online ISBN 978-3-642-15202-3
  • About this book