Computational Complexity And Statistical Physics

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Computational Complexity And Statistical Physics

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Author : Allon Percus
language : en
Publisher: OUP USA
Release Date : 2006-02-23

Computational Complexity And Statistical Physics written by Allon Percus and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-23 with Computers categories.

Computer science and physics have been closely linked since the birth of modern computing. In recent years, an interdisciplinary area has blossomed at the junction of these fields, connecting insights from statistical physics with basic computational challenges. Researchers have successfully applied techniques from the study of phase transitions to analyze NP-complete problems such as satisfiability and graph coloring. This is leading to a new understanding of the structure of these problems, and of how algorithms perform on them. Computational Complexity and Statistical Physics will serve as a standard reference and pedagogical aid to statistical physics methods in computer science, with a particular focus on phase transitions in combinatorial problems. Addressed to a broad range of readers, the book includes substantial background material along with current research by leading computer scientists, mathematicians, and physicists. It will prepare students and researchers from all of these fields to contribute to this exciting area.

Parallel Computational Complexity In Statistical Physics

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Author : Kenneth J. Moriarty
language : en
Publisher:
Release Date : 1998

Parallel Computational Complexity In Statistical Physics written by Kenneth J. Moriarty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computational complexity categories.

Unifying Themes In Complex Systems Volume 1

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Author : Yaneer Bar-yam
language : en
Publisher: CRC Press
Release Date : 2018-05-04

Unifying Themes In Complex Systems Volume 1 written by Yaneer Bar-yam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.

The study of complex systems has attracted a broad range of researchers from many disciplines spanning both the hard and soft sciences. In the Autumn of 1997, 300 of these researchers came together for the First International Conference on Complex Systems. The proceedings of this conference is the first book in the New England Complex Systems Institute Series on Complexity and includes more than 100 presentations and papers on topics like evolution, emergence, complexity, self-organization, scaling, informatics, time series, emergence of mind, and engineering of complex systems.

The Nature Of Computation

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Author : Cristopher Moore
language : en
Publisher: OUP Oxford
Release Date : 2011-08-12

The Nature Of Computation written by Cristopher Moore and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-12 with Science categories.

Computational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid and playful explanation of the P vs. NP problem, explaining why it is so fundamental, and so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing. At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduate and undergraduate students, scientists from other areas who have long wanted to understand this subject, and experts who want to fall in love with this field all over again.

New Computational Paradigms

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Author : Barry S. Cooper
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-23

New Computational Paradigms written by Barry S. Cooper 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 2005-05-23 with Computers categories.

This book constitutes the refereed proceedings of the first International Conference on Computability in Europe, CiE 2005, held in Amsterdam, The Netherlands in June 2005. The 68 revised full papers presented were carefully reviewed and selected from 144 submissions. Among them are papers corresponding to two tutorials, six plenary talks and papers of six special sessions involving mathematical logic and computer science at the same time as offering the methodological foundations for models of computation. The papers address many aspects of computability in Europe with a special focus on new computational paradigms. These include first of all connections between computation and physical systems (e.g., quantum and analog computation, neural nets, molecular computation), but also cover new perspectives on models of computation arising from basic research in mathematical logic and theoretical computer science.

Principles And Practice Of Constraint Programming Cp 2004

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Author : Mark Wallace
language : en
Publisher: Springer
Release Date : 2005-01-12

Principles And Practice Of Constraint Programming Cp 2004 written by Mark Wallace and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-12 with Computers categories.

The 10th International Conference on the Principles and Practice of Constraint Programming (CP 2003) was held in Toronto, Canada, during September 27 – October 1, 2004. Information about the conference can be found on the Web at http://ai.uwaterloo.ca/~cp2004/ Constraint programming (CP) is about problem modelling, problem solving, programming, optimization, software engineering, databases, visualization, user interfaces, and anything to do with satisfying complex constraints. It reaches into mathematics, operations research, arti?cial intelligence, algorithms, c- plexity, modelling and programming languages, and many aspects of computer science. Moreover, CP is never far from applications, and its successful use in industry and government goes hand in hand with the success of the CP research community. Constraintprogrammingcontinuesto beanexciting,?ourishingandgrowing research?eld,astheannualCPconferenceproceedingsamplywitness.Thisyear, from 158 submissions, we chose 46 to be published in full in the proceedings. Instead of selecting one overall best paper, we picked out four “distinguished” papers – though we were tempted to select at least 12 such papers. In addition we included 16 short papersin the proceedings– these were presentedas posters at CP 2004. This volume includes summaries of the four invited talks of CP 2004. Two speakers from industry were invited. However these were no ordinary industrial representatives,buttwoofthe leadingresearchersinthe CPcommunity:Helmut Simonis of Parc Technologies, until its recent takeover by Cisco Systems; and Jean Francoi ̧ s Puget, Director of Optimization Technology at ILOG. The other two invited speakers are also big movers and shakers in the researchcommunity.

Modern Theories Of Many Particle Systems In Condensed Matter Physics

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Author : Daniel C. Cabra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05

Modern Theories Of Many Particle Systems In Condensed Matter Physics written by Daniel C. Cabra 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 2012-01-05 with Technology & Engineering categories.

Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.

Large Scale Networks

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Author : Radu Dobrescu
language : en
Publisher: CRC Press
Release Date : 2016-10-03

Large Scale Networks written by Radu Dobrescu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-03 with Computers categories.

This book offers a rigorous analysis of the achievements in the field of traffic control in large networks, oriented on two main aspects: the self-similarity in traffic behaviour and the scale-free characteristic of a complex network. Additionally, the authors propose a new insight in understanding the inner nature of things, and the cause-and-effect based on the identification of relationships and behaviours within a model, which is based on the study of the influence of the topological characteristics of a network upon the traffic behaviour. The effects of this influence are then discussed in order to find new solutions for traffic monitoring and diagnosis and also for traffic anomalies prediction. Although these concepts are illustrated using highly accurate, highly aggregated packet traces collected on backbone Internet links, the results of the analysis can be applied for any complex network whose traffic processes exhibit asymptotic self-similarity, perceived as an adaptability of traffic in networks. However, the problem with self-similar models is that they are computationally complex. Their fitting procedure is very time-consuming, while their parameters cannot be estimated based on the on-line measurements. In this aim, the main objective of this book is to discuss the problem of traffic prediction in the presence of self-similarity and particularly to offer a possibility to forecast future traffic variations and to predict network performance as precisely as possible, based on the measured traffic history.

Information Physics And Computation

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Author : Marc Mézard
language : en
Publisher: Oxford University Press
Release Date : 2009-01-22

Information Physics And Computation written by Marc Mézard 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 2009-01-22 with Computers categories.

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.

Social Fairness And Economics

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Author : Lance Taylor
language : en
Publisher: Routledge
Release Date : 2013-02-11

Social Fairness And Economics written by Lance Taylor and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-11 with Business & Economics categories.

This volume brings together papers inspired by the work of Duncan Foley, an extraordinarily productive economist who has made seminal contributions to a wide variety of areas. Foley’s work cannot be easily classified, but one thread that runs through it is a critical examination (along both ethical and analytical lines) of conventional neoclassical economic theory, particularly involving general equilibrium theories of value and money. Foley was a pioneer of complexity economics as well, which adopts approaches to these questions drawn from natural sciences, so the collection therefore has an interdisciplinary quality that will interest a wide variety of readers. Some of the chapters are intellectual biographies that contextualize and identify Foley’s contributions to Keynesian macroeconomics, Marxian value theory, and complexity theory in economics. The topics covered include the economics of complexity; the ethics of general equilibrium theory; the economics of climate change; applications of Keynesian, Marxian and Ricardian political economy; and money and financial crises. The collection should be useful to scholars who work in various economic traditions critical of the currently dominant free-market approach, but it also speaks to scholars of critical theory in various disciplines beyond economics such as the mathematicians, physicists, and other natural scientists who are interested in understanding the complexity of social processes using their analytical frameworks. This book should also appeal to graduate students in economics who are working in these traditions, as well as scholars (including current graduate students in orthodox programs) who are dissatisfied with the current state of economic theory and would like to satisfy their intellectual curiosity by sampling the contributions of critical theorists.