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Mean Field Models for Spin Glasses

Volume I: Basic Examples

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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 six fundamental models and the techniques to study them.

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Titel: Mean Field Models for Spin Glasses
Autoren/Herausgeber: Michel Talagrand
Aus der Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
Ausgabe: 2011

ISBN/EAN: 9783642265983
Originaltitel: Spin Glasses: A Challenge for Mathematicians

Seitenzahl: 485
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 765 g
Sprache: Englisch

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

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.

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