Spin Glass Theory And Beyond An Introduction To The Replica Method And Its Applications
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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.
Spin Glass Theory And Beyond
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Author : Marc Mezard
language : en
Publisher:
Release Date : 1987
Spin Glass Theory And Beyond written by Marc Mezard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Spin Glass Theory And Far Beyond Replica Symmetry Breaking After 40 Years
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Author : Patrick Charbonneau
language : en
Publisher: World Scientific
Release Date : 2023-07-26
Spin Glass Theory And Far Beyond Replica Symmetry Breaking After 40 Years written by Patrick Charbonneau and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-26 with Science categories.
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.
Current Research On Spin Glasses
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Author : Stefan Boettcher
language : en
Publisher: Frontiers Media SA
Release Date : 2025-03-27
Current Research On Spin Glasses written by Stefan Boettcher and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-27 with Science categories.
Fifty years after the discovery of transition-like behavior in randomly-dilute magnetic alloys, the spin-glass state is still not fully understood. Interpreting spin-glass behavior is of practical importance for understanding cooperative behavior in random systems, and fundamental interest for insight into complexity that occurs across multiple times and spatial scales. In recent years, great strides have been made towards clarifying the spin-glass problem utilizing novel experimental techniques, detailed simulations of microscopic models, and analytical analyses of mean-field and scaling theories. Our goal is to collect recent developments in the general area of spin-glass-like behavior into a review that can guide future progress. Specifically, we plan to assemble a range of recent studies from diverse disciplines to provide up-to-date insight into the behavior of complex systems. The volume is expected to contain a series of papers that can provide readily accessible (open access) content from top researchers in the field.
Sublinear Computation Paradigm
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Author : Naoki Katoh
language : en
Publisher: Springer Nature
Release Date : 2021-10-19
Sublinear Computation Paradigm written by Naoki Katoh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-19 with Computers categories.
This open access book gives an overview of cutting-edge work on a new paradigm called the “sublinear computation paradigm,” which was proposed in the large multiyear academic research project “Foundations of Innovative Algorithms for Big Data.” That project ran from October 2014 to March 2020, in Japan. To handle the unprecedented explosion of big data sets in research, industry, and other areas of society, there is an urgent need to develop novel methods and approaches for big data analysis. To meet this need, innovative changes in algorithm theory for big data are being pursued. For example, polynomial-time algorithms have thus far been regarded as “fast,” but if a quadratic-time algorithm is applied to a petabyte-scale or larger big data set, problems are encountered in terms of computational resources or running time. To deal with this critical computational and algorithmic bottleneck, linear, sublinear, and constant time algorithms are required. The sublinear computation paradigm is proposed here in order to support innovation in the big data era. A foundation of innovative algorithms has been created by developing computational procedures, data structures, and modelling techniques for big data. The project is organized into three teams that focus on sublinear algorithms, sublinear data structures, and sublinear modelling. The work has provided high-level academic research results of strong computational and algorithmic interest, which are presented in this book. The book consists of five parts: Part I, which consists of a single chapter on the concept of the sublinear computation paradigm; Parts II, III, and IV review results on sublinear algorithms, sublinear data structures, and sublinear modelling, respectively; Part V presents application results. The information presented here will inspire the researchers who work in the field of modern algorithms.
Solid State Physics
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Author :
language : en
Publisher: Elsevier
Release Date : 2023-10-20
Solid State Physics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-20 with Science categories.
Solid State Physics, Volume 74, the latest release in this serial that highlights new advances in the field, presents interesting chapters written by an international board of authors. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in Solid State Physics series
In A Flight Of Starlings
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Author : Giorgio Parisi
language : en
Publisher: Random House
Release Date : 2023-07-11
In A Flight Of Starlings written by Giorgio Parisi and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-11 with Science categories.
From the 2021 Nobel Prize winner in Physics, a remarkable journey into the practice of groundbreaking science 'Giorgio Parisi is renowned for his scientific creativity, originality, and power. In this exhilarating little book, he shows his human side, too. By its end, readers will feel they've made a charming, witty new friend' Frank Wilczek The world is shaped by complexity. In this enlightening book, Nobel Prize winner Giorgio Parisi guides us through his unorthodox yet exhilarating work to show us how. It all starts with investigating the principles of physics by observing the sophisticated flight patterns of starlings. Studying the movements of these birds, he has realized, proves an illuminating way into understanding complex systems of all kinds - collections of everything from atoms to planets to other animals like ourselves. Along the way, Parisi reflects on the lessons he's taken from a life in pursuit of scientific truth: the importance of serendipity to the discovery of new ideas, the surprising kinship between physics and other fields of study and the value of science to a thriving society. In so doing, he removes the practice of science from the confines of the laboratory and into the real world. Complexity is all around us - from climate to finance to biology, it offers a unique way of finding order in chaos. Part elegant scientific treatise, part thrilling intellectual journey, In a Flight of Starlings is an invitation to find wonder in the world around us.
Optimization Problems In Graph Theory
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Author : Boris Goldengorin
language : en
Publisher: Springer
Release Date : 2018-09-27
Optimization Problems In Graph Theory written by Boris Goldengorin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-27 with Mathematics categories.
This book presents open optimization problems in graph theory and networks. Each chapter reflects developments in theory and applications based on Gregory Gutin’s fundamental contributions to advanced methods and techniques in combinatorial optimization. Researchers, students, and engineers in computer science, big data, applied mathematics, operations research, algorithm design, artificial intelligence, software engineering, data analysis, industrial and systems engineering will benefit from the state-of-the-art results presented in modern graph theory and its applications to the design of efficient algorithms for optimization problems. Topics covered in this work include: · Algorithmic aspects of problems with disjoint cycles in graphs · Graphs where maximal cliques and stable sets intersect · The maximum independent set problem with special classes · A general technique for heuristic algorithms for optimization problems · The network design problem with cut constraints · Algorithms for computing the frustration index of a signed graph · A heuristic approach for studying the patrol problem on a graph · Minimum possible sum and product of the proper connection number · Structural and algorithmic results on branchings in digraphs · Improved upper bounds for Korkel--Ghosh benchmark SPLP instances
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
Introduction To The Theory Of Complex Systems
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Author : Stefan Thurner
language : en
Publisher: Oxford University Press
Release Date : 2018-09-05
Introduction To The Theory Of Complex Systems written by Stefan Thurner and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-05 with Science categories.
This book is a comprehensive introduction to quantitative approaches to complex adaptive systems. Practically all areas of life on this planet are constantly confronted with complex systems, be it ecosystems, societies, traffic, financial markets, opinion formation and spreading, or the internet and social media. Complex systems are systems composed of many elements that interact strongly with each other, which makes them extremely rich dynamical systems showing a huge range of phenomena. Properties of complex systems that are of particular importance are their efficiency, robustness, resilience, and proneness to collapse. The quantitative tools and concepts needed to understand the co-evolutionary nature of networked systems and their properties are challenging. The book gives a self-contained introduction to these concepts, so that the reader will be equipped with a toolset that allows them to engage in the science of complex systems. Topics covered include random processes of path-dependent processes, co-evolutionary dynamics, dynamics of networks, the theory of scaling, and approaches from statistical mechanics and information theory. The book extends beyond the early classical literature in the field of complex systems and summarizes the methodological progress made over the past 20 years in a clear, structured, and comprehensive way.