Overview
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.
Full Product Details
Author: Michel Talagrand
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2nd, rev. and enlarged ed. 2011
Volume: 54
Dimensions:
Width: 15.50cm
, Height: 2.60cm
, Length: 23.50cm
Weight: 0.916kg
ISBN: 9783642152016
ISBN 10: 3642152015
Pages: 485
Publication Date: 12 November 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: In Print
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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)
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)
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)
Author Information
M. Talagrand is Research Director in CNRS, and Member of the French Academy of Sciences since 2004.
