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Complex Systems
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1) A domain of research, algorithms, information theory, stochastic optimization algorithms, and theoretical (probabilistic) computer science; , constraint satisfaction problems.
2) The study of collective behavior on interacting and epidemic dynamics, social and biological problems, computer networks and evolution.
The complex is devoted to these emerging interdisciplinary fields. The lectures consist in a number of long methodological courses, and more specific, 'problem oriented' courses. Lecturers are all leading experts in their field; they have summarized recent results in a clear and authoritative manner. The "Les Houches lecture notes" have a long tradition of being written for a number of years after they were written.
The book is of interest to students and researchers with various backgrounds: probability theory, computer science, information theory, physics, finance, biology, etc.
· Topical and comprehensive survey of the emerging, interdisciplinary field of "Complex Systems", covered by recognized world experts
· "Les Houches lectures notes": a long tradition of excellence and long-lasting impact
· Of interest to a broad audience (mathematics, physics, biology, informatics, finance, geology, etc.)
· Some applications may have concrete impact
· Selected topics in complex systems: forefront of research in the field
1. Monasson: Introduction to phase transitions in random optimization problems
2. Montanari-Urbanke: Modern Coding Theory: The Statistical Mechanics and Computer Science Points of View
3. Parisi: Mean field theory of Spin Glasses: Statics and Dynamics
4. Majumdar: Random Matrices, The Ulam Problem, Directed Polymer and Growth Models, and Sequence Matching
5. Kirman: Economies with Interacting Agents
6. Sethna: Crackling Noise and Avalanches: Scaling, Critical Phenomena, and the Renormalization Group
7. Toninelli: Bootstrap and Jamming Percolation
8. Newman: Complex Networks
9. Challet: Minority Games
10. Giardina: Metastable States in Glassy Systems
11. Fisher: Evolutionary Dynamics
12. Berg: Statistical modeling and analysis of biological networks
13. Berthier: The slow dynamics of glassy materials: Insights from computer simulations
14. Franceschelli: Epigenetic landscape and catastrophe theory
15. Zdeborova: A Hike in the Phases of the 1-in-3 satisfiability
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