Mean Field Models For Spin Glasses

Author : Michel Talagrand
Publisher : Springer Science & Business Media
ISBN 13 : 9783540003564
Total Pages : 608 pages
Book Rating : 4.68/5 ( download)

DOWNLOAD NOW!

Download or read book Spin Glasses: A Challenge for Mathematicians written by Michel Talagrand and published by Springer Science & Business Media. This book was released on 2003-07-11 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, that physicists studied by non-rigorous methods. They predicted spectacular behaviors, previously unknown in probability theory. They believe these behaviors occur in many models of considerable interest for several branches of science (statistical physics, neural networks and computer science). This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.

Author : Michel Talagrand
Publisher : Springer Science & Business Media
ISBN 13 : 3642222536
Total Pages : 633 pages
Book Rating : 4.35/5 ( download)

DOWNLOAD NOW!

Download or read book Mean Field Models for Spin Glasses written by Michel Talagrand and published by Springer Science & Business Media. This book was released on 2011-08-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians" in two volumes (this is the 2nd volume). 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 present Volume II contains a considerable amount of new material, in particular all the fundamental low-temperature results obtained after the publication of the first edition.

Author : Michel Talagrand
Publisher :
ISBN 13 : 9783642152030
Total Pages : 504 pages
Book Rating : 4.31/5 ( download)

DOWNLOAD NOW!

Download or read book Mean Field Models for Spin Glasses written by Michel Talagrand and published by . This book was released on 2011 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michel Talagrand
Publisher :
ISBN 13 : 9783642152030
Total Pages : 504 pages
Book Rating : 4.31/5 ( download)

DOWNLOAD NOW!

Download or read book Mean Field Models for Spin Glasses written by Michel Talagrand and published by . This book was released on 2011 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Dmitry Panchenko
Publisher : Springer Science & Business Media
ISBN 13 : 1461462894
Total Pages : 164 pages
Book Rating : 4.97/5 ( download)

DOWNLOAD NOW!

Download or read book The Sherrington-Kirkpatrick Model written by Dmitry Panchenko and published by Springer Science & Business Media. This book was released on 2013-02-26 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.

Author : Pierluigi Contucci
Publisher : Cambridge University Press
ISBN 13 : 0521763347
Total Pages : 219 pages
Book Rating : 4.49/5 ( download)

DOWNLOAD NOW!

Download or read book Perspectives on Spin Glasses written by Pierluigi Contucci and published by Cambridge University Press. This book was released on 2013 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.

Author : Cirano De Dominicis
Publisher : Cambridge University Press
ISBN 13 : 9780521847834
Total Pages : 240 pages
Book Rating : 4.34/5 ( download)

DOWNLOAD NOW!

Download or read book Random Fields and Spin Glasses written by Cirano De Dominicis and published by Cambridge University Press. This book was released on 2006-10-26 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces some useful and little known techniques in statistical mechanics and field theory including multiple Legendre transforms, supersymmetry, Fourier transforms on a tree, infinitesimal permutations and Ward Takahashi Identities."--Jacket.

Author : K. H. Fischer
Publisher : Cambridge University Press
ISBN 13 : 9780521447775
Total Pages : 404 pages
Book Rating : 4.71/5 ( download)

DOWNLOAD NOW!

Download or read book Spin Glasses written by K. H. Fischer and published by Cambridge University Press. This book was released on 1993-05-27 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of the theory, experimental work and computer modelling of spin glasses.

Author : Michel Talagrand
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.09/5 ( download)

DOWNLOAD NOW!

Download or read book Mean Field Models for Spin Glasses: Basic examples written by Michel Talagrand and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. Peter Young
Publisher : World Scientific
ISBN 13 : 9810232403
Total Pages : 454 pages
Book Rating : 4.05/5 ( download)

DOWNLOAD NOW!

Download or read book Spin Glasses and Random Fields written by A. Peter Young and published by World Scientific. This book was released on 1998 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen many developments in the study of ?frustrated? systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.