Statistical Physics Of Spin Glasses And Information Processing

Author : Hidetoshi Nishimori
Publisher : Clarendon Press
ISBN 13 : 9780198509417
Total Pages : 260 pages
Book Rating : 4.13/5 ( download)

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Download or read book Statistical Physics of Spin Glasses and Information Processing written by Hidetoshi Nishimori and published by Clarendon Press. This book was released on 2001 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spin glasses are magnetic materials. Statistical mechanics, a subfield of physics, has been a powerful tool to theoretically analyse various unique properties of spin glasses. A number of new analytical techniques have been developed to establish a theory of spin glasses. Surprisingly, thesetechniques have turned out to offer new tools and viewpoints for the understanding of information processing problems, including neural networks, error-correcting codes, image restoration, and optimization problems. This book is one of the first publications of the past ten years that provide abroad overview of this interdisciplinary field. Most of the book is written in a self-contained manner, assuming only a general knowledge of statistical mechanics and basic probability theory. It provides the reader with a sound introduction to the field and to the analytical techniques necessary tofollow its most recent developments.

Author : V Dotsenko
Publisher : World Scientific
ISBN 13 : 9814501654
Total Pages : 164 pages
Book Rating : 4.51/5 ( download)

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Download or read book An Introduction to the Theory of Spin Glasses and Neural Networks written by V Dotsenko and published by World Scientific. This book was released on 1995-01-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks. The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics. Contents:The Ising Magnetic SystemsPhysics of the Spin Glass StateReplica MethodReplica Symmetry BreakingPhysics of Replica Symmetry BreakingReplica Symmetry Breaking Solution Near TcUltrametricityScaling in the Space of Spin Glass StatesExperimentsPartial AnnealingStatistical Models of Neural NetworksThe Hopfield ModelPartial Annealing in Neural NetworksOther Kinds of Neural NetworksAppendix: Stability of the Replica-Symmetric Solutions Readership: Researchers and graduate students in statistical mechanics and neural networks. keywords: “The book by Viktor Dotsenko in large parts presents the most important results of this research based on the replica method. Although these results have been presented systematically already elsewhere (for instance in the well-known book by Amit) their concise presentation makes the book self-contained and a good introduction to the theoretical tools.” Mathematics Abstracts

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

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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 : 1139459910
Total Pages : 5 pages
Book Rating : 4.14/5 ( download)

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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 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular paradigmatic and well-known spin models such as the Random Field Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework. Particular emphasis is given to the connections between different approaches such as statics vs. dynamics, microscopic vs. phenomenological models. The book introduces some useful and little-known techniques in statistical mechanics and field theory. This book will be of great interest to graduate students and researchers in statistical physics and basic field theory.

Author : Vladas Sidoravicius
Publisher : Springer Nature
ISBN 13 : 9811502943
Total Pages : 338 pages
Book Rating : 4.41/5 ( download)

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Download or read book Sojourns in Probability Theory and Statistical Physics - I written by Vladas Sidoravicius and published by Springer Nature. This book was released on 2019-10-17 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.

Author : Daniel L. Stein
Publisher : Princeton University Press
ISBN 13 : 0691147337
Total Pages : 336 pages
Book Rating : 4.38/5 ( download)

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Download or read book Spin Glasses and Complexity written by Daniel L. Stein and published by Princeton University Press. This book was released on 2013-01-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.

Author : Shu Tanaka
Publisher : Cambridge University Press
ISBN 13 : 1107113199
Total Pages : 423 pages
Book Rating : 4.90/5 ( download)

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Download or read book Quantum Spin Glasses, Annealing and Computation written by Shu Tanaka and published by Cambridge University Press. This book was released on 2017-05-04 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Discusses the recent developments in quantum statistical physics of spin glasses and quantum computations"--Provided by publisher.

Author : Erwin Bolthausen
Publisher : Springer
ISBN 13 : 3540409084
Total Pages : 187 pages
Book Rating : 4.83/5 ( download)

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Download or read book Spin Glasses written by Erwin Bolthausen and published by Springer. This book was released on 2007-01-11 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a concise introduction to the state-of-the-art of spin glass theory. The collection of review papers are written by leading experts in the field and cover the topic from a wide variety of angles. The book will be useful to both graduate students and young researchers, as well as to anyone curious to know what is going on in this exciting area of mathematical physics.

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

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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.

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

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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.