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Mathematical statistical physics : École d'Été de Physique des Houches : Session LXXXIII : 4-29 July, 2005 : ESF Summer School : École thematique du CNRS /

Autres auteurs : Bovier, Anton, -- 1957-
Mention d'édition :1st ed. Détails physiques : 1 online resource (xxxi, 816 pages) : illustrations. ISBN :9780444528131; 044452813X.
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Exemplaires : http://www.sciencedirect.com/science/book/9780444528131

The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science roadmap to the next decade of mathematical statistical mechanics volume for reference years to come.

Chapter 1 -- K. Johansson: Random Matrices and -- Determinantal Processes -- Chapter 2 -- W. Werner: Some Recent Aspects of Random Conformally Invariant Systems -- Chapter 3 -- B. Duplantier: Conformal Random Geometry -- Chapter 4 -- A.-S. Sznitman: Random Motions in Random Media -- Chapter 5 -- F. Guerra: An Introduction to Mean Field Spin Glas Theory: Methods and Results -- Chapter 6 -- C.M. Newman and D.L. Stein: Short-Range Spin Glasses: Selected Open Problems -- Chapter 7 -- G. Parisi: Computing the Number of Metastable States in Infinite-Range Models -- Chapter 8 -- Gerard Ben Arous and Jiri Cerny: Dynamics of Trap Models -- Chapter 9 -- N. Datta: Quantum Entropy and Quantum Information -- Chapter 10 -- A. Montanari: Two Lectures on Iterative Coding and Statistical Mechanics -- Chapter 11 -- A. Etheridge: Evolution in Fluctuating Populations -- Chapter 12 -- A. Greven: Multi-Scale Analysis of Population Models -- Chapter 13 -- Christian Maes: Elements of Nonequilibrium Statistical Mechanics -- Chapter 14 -- Frank Redig: Mathematical Aspects of -- the Abelian Sandpile Model -- Chapter 15 -- R. Fernandez: Gibbsianness and Non-Gibbsianness in Lattice Random Fields -- Chapter 16 -- A.D. Sokal: Simulation of Statistical Mechanics Models.

Includes bibliographical references.

Course 1. Random matrices and determinantal processes / by Kurt Johansson -- Course 2. Some recent aspects of random conformally invariant systems / by Wendelin Werner -- Course 3. Conformal random geometry / by Bertrand Duplantier -- Course 4. Random motions in random media / by Alain-Sol Sznitman -- Course 5. An introduction to mean field spin glas theory : methods and results / by Francesco Guerra -- Course 6. Short-range spin glasses : selected open problems / by C.M. Newman and D.L. Stein -- Course 7. Computing the number of metastable states in infinite-range models / by Giorgio Parisi -- Course 8. Dynamics of trap models / by Gérard Ben Arous and Jiří Černý -- Course 9. Quantum entropy and quantum information / by Nilanjana Datta -- Course 10. Two lectures on iterative coding and statistical mechanics / by Andrea Montanari -- Course 11. Evolution in fluctuating populations / by Alison Etheridge -- Course 12. Multi-scale analysis of population models / by A. Greven -- Course 13. Elements of nonequilibrium statistical mechanics / by Christian Maes -- Course 14. Mathematical aspects of the abelian sandpile model / by Frank Redig -- Course 15. Gibbsianness and non-Gibbsianness in lattice random fields / by Roberto Fernández -- Course 16. Simulation of statistical mechanics models / by Alan D. Sokal.

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