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Computational complexity and statistical physics

Author: Allon G Percus; Gabriel Istrate; Cristopher Moore
Publisher: Oxford : Oxford University Press, 2006.
Series: Santa Fe Institute studies in the sciences of complexity
Edition/Format:   Print book : EnglishView all editions and formats

Computer science and physics have been closely linked since the birth of modern computing. This book serves as a standard reference and pedagogical aid to statistical physics methods in computer  Read more...


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Document Type: Book
All Authors / Contributors: Allon G Percus; Gabriel Istrate; Cristopher Moore
ISBN: 0195177371 9780195177374 019517738X 9780195177381
OCLC Number: 937055753
Description: 367 s. : illustrations.
Contents: Preface ; Part 1: Fundamentals ; 1. Introduction: Where Statistical Physics Meets Computation ; 2. Threshold Phenomena and Influence: Perspectives from Mathematics, Computer Science, and Economics ; Part 2: Statistical Physics and Algorithms ; 3. Analyzing Search Algorithms with Physical Methods ; 4. Constraint Satisfaction by Survey Propagation ; 5. The Easiest Hard Problem: Number Partitioning ; 6. Ground States, Energy Landscape and Low-Temperature Dynamics of plus/minus Spin Glasses ; Part 3: Identifying the Threshold ; 7. The Satisfiability Threshold Conjecture: Techniques Behind Upper Bound Improvements ; 8. Proving Conditional Randomness Using the Principle of Deferred Decisions ; 9. The Phase Transition in the Random HornSAT Problem ; Part 4: Extensions and Applications ; 10. Phase Transitions for Quantum Search Algorithms ; 11. Scalability, Random Surfaces and Synchronized Computing Networks ; 12. Combinatorics of Genotype-Phenotype Maps: An RNA Case Study ; 13. Towards a Predictive Computational Complexity Theory for Periodically Specified Problems: A Survey ; Bibliography ; Index
Series Title: Santa Fe Institute studies in the sciences of complexity
Responsibility: editors, Allon G. Percus, Gabriel Istrate, Cristopher Moore.


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"This volume provides a comprehensive overview of an exciting new research area at the interface between statistical physics and computer science. It is an excellent exposition, featuring Read more...

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