Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Mean Field Models for Spin Glasses

Volume I: Basic Examples

Authors: Talagrand, Michel

  • Completely rewritten, updated and enlarged edition of Talagrand's Ergebnisse Vol. 46: "Spin Glasses: A Challenge for Mathematicians" (2003) in two volumes
  • Will bring a reader with no previous knowledge of Spin Glasses to the frontier of current research
  • The only fully rigorous treatise of this scale on the subject
  • This first volume presents the basic results and methods
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eBook $159.00
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  • ISBN 978-3-642-15202-3
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Hardcover $209.00
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  • ISBN 978-3-642-15201-6
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  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
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  • ISBN 978-3-642-26598-3
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  • Usually dispatched within 3 to 5 business days.
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About this book

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.

About the authors

M. Talagrand is Research Director in CNRS, and Member of the French Academy of Sciences since 2004.

Reviews

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, written with strong commitment, help the reader to grasp the general line of thought before entering into the computations … . With its depth and proficiency of important techniques, this book opens new perspectives on probability theory and the statistical mechanics of disordered systems. It will be a source of inspiration for generations of mathematicians.” (Francis Comets, Mathematical Reviews, Issue 2012 c)

Table of contents (7 chapters)

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-3-642-15202-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-3-642-15201-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-3-642-26598-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mean Field Models for Spin Glasses
Book Subtitle
Volume I: Basic Examples
Authors
Series Title
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Series Volume
54
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-15202-3
DOI
10.1007/978-3-642-15202-3
Hardcover ISBN
978-3-642-15201-6
Softcover ISBN
978-3-642-26598-3
Series ISSN
0071-1136
Edition Number
1
Number of Pages
XVIII, 485
Additional Information
This volume is the first part of a treatise on Spin Glasses. The second part is Vol. 55 of the Ergebnisse series. The first edition was published as Vol. 46 of the same series ((978-3-540-00356-4).
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