Spin Glasses And Complexity
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Spin Glasses And Complexity
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Author : Daniel L. Stein
language : en
Publisher: Princeton University Press
Release Date : 2013-01-15
Spin Glasses And Complexity written by Daniel L. Stein and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-15 with Computers categories.
This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.
Spin Glasses
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Author : K. H. Fischer
language : en
Publisher: Cambridge University Press
Release Date : 1993-05-27
Spin Glasses written by K. H. Fischer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-05-27 with Science categories.
A comprehensive account of the theory, experimental work and computer modelling of spin glasses.
The Sherrington Kirkpatrick Model
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Author : Dmitry Panchenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-26
The Sherrington Kirkpatrick Model written by Dmitry Panchenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-26 with Mathematics categories.
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.
Theory Of Simple Glasses
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Author : Giorgio Parisi
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-09
Theory Of Simple Glasses written by Giorgio Parisi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-09 with Science categories.
This self-contained text describes the modern mean field theory of simple structural glasses using a quantum statistical mechanical approach. Describing the theory in clear and simple terms, this is a valuable resource for graduate students and researchers working in condensed matter physics and statistical mechanics.
Statistical Physics Of Spin Glasses And Information Processing
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Author : Hidetoshi Nishimori
language : en
Publisher: Clarendon Press
Release Date : 2001
Statistical Physics Of Spin Glasses And Information Processing written by Hidetoshi Nishimori and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.
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, these techniques 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 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 probability 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 Glasses And Biology
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Author : Daniel L. Stein
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1992-01-01
Spin Glasses And Biology written by Daniel L. Stein and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Science categories.
An introduction to the possible application of research techniques and principles developed for the study of disordered systems, to problems that arise in biology. Admitting that their knowledge of disordered systems, as represented by spin glasses, is far from complete, researchers explore how the notions derived can be of use in studying neural networks, adaptation and evolution, maturation of the immune response, and protein dynamics and folding. Requires a solid understanding of spin glass physics. No index. Acidic paper. Paper edition (unseen), $28. Annotation copyright by Book News, Inc., Portland, OR
Spin Glass Theory And Beyond An Introduction To The Replica Method And Its Applications
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Author : Marc Mezard
language : en
Publisher: World Scientific Publishing Company
Release Date : 1987-11-01
Spin Glass Theory And Beyond An Introduction To The Replica Method And Its Applications written by Marc Mezard and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-11-01 with Science categories.
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.
Statistical Mechanics
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Author : James Sethna
language : en
Publisher: OUP Oxford
Release Date : 2006-04-07
Statistical Mechanics written by James Sethna and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-07 with Science categories.
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.
From Statistical Physics To Statistical Inference And Back
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Author : P. Grassberger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
From Statistical Physics To Statistical Inference And Back written by P. Grassberger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Physicists, when modelling physical systems with a large number of degrees of freedom, and statisticians, when performing data analysis, have developed their own concepts and methods for making the `best' inference. But are these methods equivalent, or not? What is the state of the art in making inferences? The physicists want answers. More: neural computation demands a clearer understanding of how neural systems make inferences; the theory of chaotic nonlinear systems as applied to time series analysis could profit from the experience already booked by the statisticians; and finally, there is a long-standing conjecture that some of the puzzles of quantum mechanics are due to our incomplete understanding of how we make inferences. Matter enough to stimulate the writing of such a book as the present one. But other considerations also arise, such as the maximum entropy method and Bayesian inference, information theory and the minimum description length. Finally, it is pointed out that an understanding of human inference may require input from psychologists. This lively debate, which is of acute current interest, is well summarized in the present work.
Phase Transitions
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Author : Ricard V. Solé
language : en
Publisher: Princeton University Press
Release Date : 2011-08-14
Phase Transitions written by Ricard V. Solé and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-14 with Mathematics categories.
Phase transitions--changes between different states of organization in a complex system--have long helped to explain physics concepts, such as why water freezes into a solid or boils to become a gas. How might phase transitions shed light on important problems in biological and ecological complex systems? Exploring the origins and implications of sudden changes in nature and society, Phase Transitions examines different dynamical behaviors in a broad range of complex systems. Using a compelling set of examples, from gene networks and ant colonies to human language and the degradation of diverse ecosystems, the book illustrates the power of simple models to reveal how phase transitions occur. Introductory chapters provide the critical concepts and the simplest mathematical techniques required to study phase transitions. In a series of example-driven chapters, Ricard Solé shows how such concepts and techniques can be applied to the analysis and prediction of complex system behavior, including the origins of life, viral replication, epidemics, language evolution, and the emergence and breakdown of societies. Written at an undergraduate mathematical level, this book provides the essential theoretical tools and foundations required to develop basic models to explain collective phase transitions for a wide variety of ecosystems.