Spin Glasses: A Challenge for Mathematicians

Cavity and Mean Field Models

By:

Michel Talagrand

Format:

Hardback

Series:

Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics

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Description

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, that physicists studied by non-rigorous methods. They predicted spectacular behaviors, previously unknown in probability theory. They believe these behaviors occur in many models of considerable interest for several branches of science (statistical physics, neural networks and computer science). This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.

Release date NZ

July 11th, 2003

Author

Michel Talagrand

Audience

General (US: Trade)

Illustrations

IX, 586 p.

Pages

586

Series

Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics

Dimensions

155x235x36

ISBN-13

9783540003564

Product ID

5809603

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