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Mean Field Models for Spin Glasses

Volume II: Advanced Replica-Symmetry and Low Temperature

  • Michel Talagrand

Table of contents

  1. Front Matter
    Pages I-XII
  2. Advanced Replica-Symmetry

    1. Front Matter
      Pages 1-1
    2. Michel Talagrand
      Pages 3-47
    3. Michel Talagrand
      Pages 49-122
    4. Michel Talagrand
      Pages 123-223
    5. Michel Talagrand
      Pages 225-284
  3. Low Temperature

    1. Front Matter
      Pages 285-285
    2. Michel Talagrand
      Pages 287-311
    3. Michel Talagrand
      Pages 313-348
    4. Michel Talagrand
      Pages 349-474
    5. Michel Talagrand
      Pages 475-558
    6. Michel Talagrand
      Pages 559-602
  4. Back Matter
    Pages 603-629

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" in two volumes (this is the 2nd volume). 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 present Volume II contains a considerable amount of new material, in particular all the fundamental low-temperature results obtained after the publication of the first edition.

Keywords

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

Authors and affiliations

  • Michel Talagrand
    • 1
  1. 1.Institut de mathématiques, UMR 7586 CNRSUniversité Paris 6Paris Cedex 05France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-22253-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-22252-8
  • Online ISBN 978-3-642-22253-5
  • Series Print ISSN 0071-1136
  • Buy this book on publisher's site