Mean Field Models for Spin Glasses, Volume I: Basic Examples Michel Talagrand

ISBN: 9783642152016

Published: November 12th 2010

Hardcover

485 pages


Description

Mean Field Models for Spin Glasses, Volume I: Basic Examples  by  Michel Talagrand

Mean Field Models for Spin Glasses, Volume I: Basic Examples by Michel Talagrand
November 12th 2010 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 485 pages | ISBN: 9783642152016 | 6.60 Mb

This is a new, completely revised, updated and enlarged edition of the authors 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 andMoreThis is a new, completely revised, updated and enlarged edition of the authors 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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