An Introduction to the Theory of Spin Glasses and Neural Networks

An Introduction to the Theory of Spin Glasses and Neural Networks
Author: Viktor Dotsenko
Publisher: World Scientific
Total Pages: 172
Release: 1994
Genre: Science
ISBN: 9789810218737

Download An Introduction to the Theory of Spin Glasses and Neural Networks Book in PDF, Epub and Kindle

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.

An Introduction To The Theory Of Spin Glasses And Neural Networks

An Introduction To The Theory Of Spin Glasses And Neural Networks
Author: V Dotsenko
Publisher: World Scientific
Total Pages: 166
Release: 1995-01-16
Genre: Science
ISBN: 9814501654

Download An Introduction To The Theory Of Spin Glasses And Neural Networks Book in PDF, Epub and Kindle

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.

Statistical Physics of Spin Glasses and Information Processing

Statistical Physics of Spin Glasses and Information Processing
Author: Hidetoshi Nishimori
Publisher: Clarendon Press
Total Pages: 264
Release: 2001
Genre: Computers
ISBN: 9780198509400

Download Statistical Physics of Spin Glasses and Information Processing Book in PDF, Epub and Kindle

This superb new book is one of the first publications in recent years to provide a broad 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 probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments

Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications

Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications
Author: Marc Mezard
Publisher: World Scientific Publishing Company
Total Pages: 477
Release: 1987-11-01
Genre: Science
ISBN: 9813103914

Download Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications Book in PDF, Epub and Kindle

This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject.

Spin Glasses and Complexity

Spin Glasses and Complexity
Author: Daniel L. Stein
Publisher: Princeton University Press
Total Pages: 336
Release: 2013-01-15
Genre: Science
ISBN: 1400845637

Download Spin Glasses and Complexity Book in PDF, Epub and Kindle

Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.

Spin Glasses and Complexity

Spin Glasses and Complexity
Author: Daniel L. Stein
Publisher: Princeton University Press
Total Pages: 336
Release: 2013-01-15
Genre: Mathematics
ISBN: 0691147337

Download Spin Glasses and Complexity Book in PDF, Epub and Kindle

This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.

Spin Glasses And Biology

Spin Glasses And Biology
Author: Daniel L Stein
Publisher: World Scientific
Total Pages: 277
Release: 1992-08-11
Genre: Science
ISBN: 9814507776

Download Spin Glasses And Biology Book in PDF, Epub and Kindle

This volume is an introduction to the application of techniques developed for the study of disordered systems to problems which arise in biology. Topics presented include neural networks, adaptation and evolution, maturation of the immune response, and protein dynamics and folding. This book will appeal to students and researchers interested in statistical and condensed matter physics, glasses and spin glasses, and biophysics.

Spin Glasses and Related Problems

Spin Glasses and Related Problems
Author: V. S. Dotsenko
Publisher: CRC Press
Total Pages: 266
Release: 1990
Genre: Science
ISBN: 9783718650392

Download Spin Glasses and Related Problems Book in PDF, Epub and Kindle

Three scientists from the L.D. Landau Institute of Theoretical Physics, Moscow, review recent developments in the theory of spin glasses and related strongly disordered systems. They discuss in particular the problems of irreversibility and nonergodicity in the framework of the mean field theory, a phase transition in three- dimensional spin glasses, and glass-like systems with hidden correlations. Addressed to researchers in theoretical physics. Book club price $59. Annotation copyrighted by Book News, Inc., Portland, OR

Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years

Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years
Author: Patrick Charbonneau
Publisher: World Scientific
Total Pages: 740
Release: 2023-07-26
Genre: Science
ISBN: 9811273936

Download Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years Book in PDF, Epub and Kindle

About sixty years ago, the anomalous magnetic response of certain magnetic alloys drew the attention of theoretical physicists. It soon became clear that understanding these systems, now called spin glasses, would give rise to a new branch of statistical physics. As physical materials, spin glasses were found to be as useless as they were exotic. They have nevertheless been recognized as paradigmatic examples of complex systems with applications to problems as diverse as neural networks, amorphous solids, biological molecules, social and economic interactions, information theory and constraint satisfaction problems.This book presents an encyclopaedic overview of the broad range of these applications. More than 30 contributions are compiled, written by many of the leading researchers who have contributed to these developments over the last few decades. Some timely and cutting-edge applications are also discussed. This collection serves well as an introduction and summary of disordered and glassy systems for advanced undergraduates, graduate students and practitioners interested in the topic.