Spin Glasses and Complexity
Spin Glasses and Complexity

Author: Daniel L. Stein

Publisher: Princeton University Press

Published: 2013-01-15

Total Pages: 336

ISBN-13: 1400845637

DOWNLOAD EBOOK

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

Published: 2013-01-15

Total Pages: 336

ISBN-13: 0691147337

DOWNLOAD EBOOK

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

Spin Glasses
Spin Glasses

Author: K. H. Fischer

Publisher: Cambridge University Press

Published: 1993-05-27

Total Pages: 404

ISBN-13: 9780521447775

DOWNLOAD EBOOK

A comprehensive account of the theory, experimental work and computer modelling of spin glasses.

The Sherrington-Kirkpatrick Model
The Sherrington-Kirkpatrick Model

Author: Dmitry Panchenko

Publisher: Springer Science & Business Media

Published: 2013-02-26

Total Pages: 164

ISBN-13: 1461462894

DOWNLOAD EBOOK

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.

Spin Glasses And Biology
Spin Glasses And Biology

Author: Daniel L Stein

Publisher: World Scientific

Published: 1992-08-11

Total Pages: 277

ISBN-13: 9814507776

DOWNLOAD EBOOK

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.

Statistical Physics of Spin Glasses and Information Processing
Statistical Physics of Spin Glasses and Information Processing

Author: Hidetoshi Nishimori

Publisher: Clarendon Press

Published: 2001

Total Pages: 264

ISBN-13: 9780198509400

DOWNLOAD EBOOK

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

Information, Physics, and Computation
Information, Physics, and Computation

Author: Marc Mézard

Publisher: Oxford University Press

Published: 2009-01-22

Total Pages: 584

ISBN-13: 019857083X

DOWNLOAD EBOOK

A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.

Theory of Simple Glasses
Theory of Simple Glasses

Author: Giorgio Parisi

Publisher: Cambridge University Press

Published: 2020-01-09

Total Pages: 341

ISBN-13: 1108126103

DOWNLOAD EBOOK

This pedagogical and self-contained text describes the modern mean field theory of simple structural glasses. The book begins with a thorough explanation of infinite-dimensional models in statistical physics, before reviewing the key elements of the thermodynamic theory of liquids and the dynamical properties of liquids and glasses. The central feature of the mean field theory of disordered systems, the existence of a large multiplicity of metastable states, is then introduced. The replica method is then covered, before the final chapters describe important, advanced topics such as Gardner transitions, complexity, packing spheres in large dimensions, the jamming transition, and the rheology of glass. Presenting the theory in a clear and pedagogical style, this is an excellent resource for researchers and graduate students working in condensed matter physics and statistical mechanics.

Statistical Mechanics
Statistical Mechanics

Author: James Sethna

Publisher: OUP Oxford

Published: 2006-04-07

Total Pages: 374

ISBN-13: 0191566217

DOWNLOAD EBOOK

In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.

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

Published: 1987-11-01

Total Pages: 477

ISBN-13: 9813103914

DOWNLOAD EBOOK

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.