Complex Systems: Lecture Notes of the Les Houches Summer School 2006

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Elsevier, Sep 22, 2011 - Science - 526 pages
There has been recently some interdisciplinary convergence on a number of precise topics which can be considered as prototypes of complex systems. This convergence is best appreciated at the level of the techniques needed to deal with these systems, which include:

1) A domain of research around a multiple point where statistical physics, information theory, algorithmic computer science, and more theoretical (probabilistic) computer science meet: this covers some aspects of error correcting codes, stochastic optimization algorithms, typical case complexity and phase transitions, constraint satisfaction problems.
2) The study of collective behavior of interacting agents, its impact on understanding some types of economical and financial problems, their link to population and epidemics dynamics, game theory, social, biological and computer networks and evolution.

The present book is the written version of the lectures given during the Les Houches summer school session on "Complex Systems", devoted to these emerging interdisciplinary fields. The lectures consist both in a number of long methodological courses (probability theory, statistical physics of disordered systems, information theory, network structure and evolution, agent-based economics and numerical methods) 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 excellence and are often found to be useful 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
 

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Contents

the statistical mechanics and computer science point of view
67
statics and dynamics
131
Course 4 Random matrices the Ulam Problem directed polymers growth models and sequence matching
179
Course 5 Economies with interacting agents
217
scaling critical phenomena and the renormalization group
257
Course 7 Bootstrap and jamming percolation
289
Course 8 Complex networks
309
Course 9 Minority games
343
Course 10 Metastable states in glassy systems
373
Course 11 Evolutionary dynamics
395
Course 12 Statistical modelling and analysis of biological networks
447
insights from computer simulations
473
commentary on a correspondence
483
Course 15 A hike in the phases of the 1in3 satisfiability
491
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Page vi - Scattering theory. Recent developments in field theory. Nuclear interaction; strong interactions. High energy electrons. Experiments in high...
Page v - ECOLE DE PHYSIQUE DES HOUCHES Service inter-universitaire commun à l'Université Joseph Fourier de Grenoble et à l'Institut National Polytechnique de Grenoble Subventionné par le Ministère de l'Éducation Nationale, de l'Enseignement Supérieur et de la Recherche, le Centre National de la Recherche Scientifique, le Commissariat à l'Énergie Atomique Membres du conseil d'administration : Yannick Vallée (président), Paul Jacquet (vice-président), Cécile...
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Page xx - The staff of the School, especially Brigitte Rousset and Isabelle Lelievre, have been of great help for the preparation and development of the school, and we would like to thank them warmly on behalf of all students and lecturers.

About the author (2011)

Jean Dalibard works in the field of atomic physics and quantum optics. His recent activities is centered on the physics of cold quantum gases, in particular Bose-Einstein condensation.

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