Computational Complexity and Statistical Physics

Computational Complexity and Statistical Physics

Author: Allon Percus

Publisher: OUP USA

Published: 2006-02-23

Total Pages: 386

ISBN-13: 9780195177381

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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.


Computational Complexity and Statistical Physics

Computational Complexity and Statistical Physics

Author: Allon Percus

Publisher: Oxford University Press, USA

Published: 2006

Total Pages: 394

ISBN-13: 9780195177374

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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.


Limits to Parallel Computation

Limits to Parallel Computation

Author: Raymond Greenlaw

Publisher: Oxford University Press

Published: 1995-04-06

Total Pages: 328

ISBN-13: 0195358902

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This book provides a comprehensive analysis of the most important topics in parallel computation. It is written so that it may be used as a self-study guide to the field, and researchers in parallel computing will find it a useful reference for many years to come. The first half of the book consists of an introduction to many fundamental issues in parallel computing. The second half provides lists of P-complete- and open problems. These lists will have lasting value to researchers in both industry and academia. The lists of problems, with their corresponding remarks, the thorough index, and the hundreds of references add to the exceptional value of this resource. While the exciting field of parallel computation continues to expand rapidly, this book serves as a guide to research done through 1994 and also describes the fundamental concepts that new workers will need to know in coming years. It is intended for anyone interested in parallel computing, including senior level undergraduate students, graduate students, faculty, and people in industry. As an essential reference, the book will be needed in all academic libraries.


Unifying Themes In Complex Systems, Volume 1

Unifying Themes In Complex Systems, Volume 1

Author: Yaneer Bar-yam

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 696

ISBN-13: 0429971893

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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.


Parallel and Distributed Computing

Parallel and Distributed Computing

Author: Michel Cosnard

Publisher: Springer Science & Business Media

Published: 1994-05-02

Total Pages: 296

ISBN-13: 9783540580782

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This volume presents the proceedings of the First Canada-France Conference on Parallel Computing; despite its name, this conference was open to full international contribution and participation, as shown by the list of contributing authors. This volume consists of in total 22 full papers, either invited or accepted and revised after a thorough reviewing process. All together the papers provide a highly competent perspective on research in parallel algorithms and complexity, interconnection networks and distributed computing, algorithms for unstructured problems, and structured communications from the point of view of parallel and distributed computing.


Computational Complexity

Computational Complexity

Author: Sanjeev Arora

Publisher: Cambridge University Press

Published: 2009-04-20

Total Pages: 609

ISBN-13: 0521424267

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New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.


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

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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.


Graphs, Morphisms and Statistical Physics

Graphs, Morphisms and Statistical Physics

Author: Jaroslav Nešetřil

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 218

ISBN-13: 0821835513

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Based on a March 2001 workshop, this collection explores connections between random graphs and percolation, between slow mixing and phase transition, and between graph morphisms and hard-constraint models. Topics of the 14 papers include efficient local search near phase transitions in combinatorial optimization, graph homomorphisms and long range action, recent results on parameterized H-colorings, the satisfiability of random k-Horn formulae, a discrete non-Pfaffian approach to the Ising problem, and chromatic numbers of products of tournaments. No indexes are provided. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).


Parallel Algorithms for Irregularly Structured Problems

Parallel Algorithms for Irregularly Structured Problems

Author: Afonso Ferreira

Publisher: Springer Science & Business Media

Published: 1996-07-30

Total Pages: 772

ISBN-13: 9783540615491

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This book constitutes the refereed proceedings of the Third International Workshop on Parallel Algorithms for Irregularly Structured Problems, IRREGULAR '96, held in Santa Barbara, California, in August 1996. The volume presents 28 revised full papers selected from 51 submissions; also included are one full invited paper by Torben Hagerup and abstracts of four other invited talks. The papers are organized in topical sections on sparse matrix problems, partitioning and domain composition, irregular applications, communication and synchronization, systems support, and mapping and load balancing.


Limits to Parallel Computation

Limits to Parallel Computation

Author: Raymond Greenlaw

Publisher: Oxford University Press, USA

Published: 1995

Total Pages: 328

ISBN-13: 0195085914

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This book provides a comprehensive analysis of the most important topics in parallel computation. It is written so that it may be used as a self-study guide to the field, and researchers in parallel computing will find it a useful reference for many years to come. The first half of the book consists of an introduction to many fundamental issues in parallel computing. The second half provides lists of P-complete- and open problems. These lists will have lasting value to researchers in both industry and academia. The lists of problems, with their corresponding remarks, the thorough index, and the hundreds of references add to the exceptional value of this resource. While the exciting field of parallel computation continues to expand rapidly, this book serves as a guide to research done through 1994 and also describes the fundamental concepts that new workers will need to know in coming years. It is intended for anyone interested in parallel computing, including senior level undergraduate students, graduate students, faculty, and people in industry. As an essential reference, the book will be needed in all academic libraries.