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Mean Field Models For Spin Glasses, Volume I: Basic Examples

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eBay item number:184111495364
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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Mean Field Models For Spin Glasses, Volume I: Basic Examples
ISBN
9783642152016
Subject Area
Science, Mathematics
Publication Name
Mean Field Models for Spin Glasses : Volume I: Basic Examples
Item Length
9.3 in
Publisher
Springer Berlin / Heidelberg
Subject
Physics / Condensed Matter, Probability & Statistics / General, Physics / Mathematical & Computational
Publication Year
2010
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
Type
Textbook
Format
Hardcover
Language
English
Author
Michel Talagrand
Item Width
6.1 in
Item Weight
32.3 Oz
Number of Pages
Xviii, 485 Pages

About this product

Product Information

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.

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3642152015
ISBN-13
9783642152016
eBay Product ID (ePID)
99632378

Product Key Features

Author
Michel Talagrand
Publication Name
Mean Field Models for Spin Glasses : Volume I: Basic Examples
Format
Hardcover
Language
English
Subject
Physics / Condensed Matter, Probability & Statistics / General, Physics / Mathematical & Computational
Publication Year
2010
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
Xviii, 485 Pages

Dimensions

Item Length
9.3 in
Item Width
6.1 in
Item Weight
32.3 Oz

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
Series Volume Number
54
Number of Volumes
1 Vol.
Lc Classification Number
Qa273.A1-274.9
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)
Table of Content
Introduction.- 1. The Sherrington-Kirkpatrick Model.- 2. The Perceptron Model.- 3. The Shcherbina and Tirozzi Model.- 4. The Hopfield Model.- 5. The V-statistics Model.- 6. The Diluted SK Model and the K-Sat Problem.- 7. An Assignment Problem.- A. Appendix: Elements of Probability Theory.- References.- Index.- Glossary.
Copyright Date
2011
Dewey Decimal
530.413
Dewey Edition
22
Illustrated
Yes

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