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Complex systems : École d'été de Physique des Houches, session LXXXV, 3-28 July 2006 ; École thématique du CNRS /

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 mu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Ecole d'été de physique théorique (Les Houches, Haute-Savoie, France)
Otros Autores: Bouchaud, Jean-Philippe, 1962-, Mezard, Marc, Dalibard, J.
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Amsterdam, Netherlands ; Boston, Mass. : Elsevier, ©2007.
Edición:1st ed.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Complex systems :  |b École d'été de Physique des Houches, session LXXXV, 3-28 July 2006 ; École thématique du CNRS /  |c edited by Jean-Philippe Bouchaud, Marc Mezard and Jean Dalibard. 
246 3 0 |a École d'été de Physique des Houches 
246 3 0 |a Ecole thématique du CNRS 
250 |a 1st ed. 
260 |a Amsterdam, Netherlands ;  |a Boston, Mass. :  |b Elsevier,  |c ©2007. 
300 |a 1 online resource (xxviii, 498 pages) :  |b illustrations (some color), portraits 
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505 0 |a Cover -- Previous sessions -- Organizers -- Lecturers -- Seminar Speakers -- Participants -- Auditors -- Preface -- Contents -- Course 1. Introduction to phase transitions in random optimization problems -- 1. Introduction -- 2. Basic concepts: overview of static phase transitions in K-XORSAT -- 3. Advanced methods (I): replicas -- 4. Advanced methods (II): cavity -- 5. Dynamical phase transitions and search algorithms -- 6. Conclusions -- Appendix A.A primer on large deviations -- Appendix B. Inequalities of first and second moments -- Appendix C. Corrections to the saddle-point calculation of <N2> -- References -- Course 2. Modern coding theory: the statistical mechanics and computer science point of view -- 1. Introduction and outline -- 2. Background: the channel coding problem -- 3. Sparse graph codes -- 4. The decoding problem for sparse graph codes -- 5. Belief Propagation beyond coding theory -- 6. Belief Propagation beyond the binary symmetric channel -- 7. Open problems -- Appendix A.A generating function calculation -- References -- Course 3. Mean field theory of spin glasses: statics and dynamics -- 1. Introduction -- 2. General considerations -- 3. Mean field theory -- 4. Many equilibrium states -- 5. The explicit solution of the Sherrington Kirkpatrick model -- 6. Bethe lattices -- 7. Finite dimensions -- 8. Some other applications -- 9. Conclusions -- References -- Course 4. Random matrices, the Ulam Problem, directed polymers & growth models, and sequence matching -- 1. Introduction -- 2. Random matrices: the Tracy-Widom distribution for the largest eigenvalue -- 3. The longest common subsequence problem (or the Ulam problem) -- 4. Directed polymers and growth models -- 5. Sequence matching problem -- 6. Conclusion -- References -- Course 5. Economies with interacting agents -- 1. Introduction -- 2. Models of segregation: a physical analogy -- 3. Market relations -- 4. Financial markets -- 5. Contributions to public goods -- 6. Conclusion -- References -- Course 6. Crackling noise and avalanches: scaling, critical phenomena, and the renormalization group -- 1. Preamble -- 2. What is crackling noise? -- 3. Hysteresis and Barkhausen noise in magnets -- 4. Why crackling noise? -- 5. Self-similarity and its consequences -- References -- Course 7. Bootstrap and jamming percolation -- 1. Introduction -- 2. Bootstrap Percolation (BP) -- 3. Jamming Percolation (JP) -- 4. Related stochastic models -- References -- Course 8. Complex networks -- 1. Introduction -- 2. Network expansion and the small-world effect -- 3. Degree distributions -- 4. Further directions -- References -- Course 9. Minority games -- 1. Introduction -- 2. The minority game: definition and numerical simulations -- 3. Exact solutions -- 4. Application and extensions -- 5. Conclusions -- References -- Course 10. Me. 
588 0 |a Print version record. 
520 |a 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, constr. 
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650 0 |a Computational complexity  |v Congresses. 
650 6 |a Analyse de systèmes  |v Congrès. 
650 6 |a Complexité de calcul (Informatique)  |v Congrès. 
650 7 |a SCIENCE  |x System Theory.  |2 bisacsh 
650 7 |a TECHNOLOGY & ENGINEERING  |x Operations Research.  |2 bisacsh 
650 7 |a Computational complexity  |2 fast 
650 7 |a System analysis  |2 fast 
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655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Bouchaud, Jean-Philippe,  |d 1962- 
700 1 |a Mezard, Marc. 
700 1 |a Dalibard, J. 
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