INTERACTING PARTICLE SYSTEMS,
AND PROBABILITY THEORY
September 5th – December 19th, 2008
11, rue Pierre et Marie Curie, 75005 Paris, France
Spatially extended systems with a large number of mutually interacting
components exhibit intriguing phenomena like anomalous fluctuations and
phase transitions. These processes are analyzed by means of powerful
The main goal of the semester is to gather together the most active researchers in this interdisciplinary area and offer to advanced students and to young researchers the opportunity to learn the most cutting edge ideas, techniques and results of such a lively area.
Jean Bertoin (Paris), Erwin Bolthausen (Zürich), Geoffrey Grimmett (Cambridge), Frank den Hollander (Leiden and Eindhoven), Michel Ledoux (Toulouse), Thomas Liggett (Los Angeles), Servet Martinez (Santiago), Andrea Montanari (Stanford), Errico Presutti (Rome), Herbert Spohn (Münich), Senya Shlosman (Marseille), Bálint Tóth (Budapest).
Large time behavior of interacting particle systems: Entropy production and fluctuations outside equilibrium. Non reversible models. Analysis of the stationary measures. Analysis of the relaxation process. Around the exclusion process: analysis of growth, combinatorial or queuing models. Long range models like the exclusion and sandpile models. Biological applications: molecular motors. Hydrodynamical limit. Models of glassy dynamics.
Large deviations: Percolation. Metastability. Large deviations for models of non equilibrium statistical mechanics. Large deviations for Gibbsian fields: interfaces and surface phenomena. Variational problems from large deviations.
Phase transitions: Phase transitions for Gibbsian random fields. Gibbsianity and Feller property. Dynamical phase transitions. Phase transitions in satisfiability and reconstruction problems.
Disordered systems: Spin glass theory. Polymers and random walks in random environment. Random walks on percolative structures. Ageing. Random combinatorial problems.
Courses will range from doctoral level to advanced level.
Long courses by: Pablo Ferrari (São Paulo) and Ellen Saada (Rouen), Geoffrey Grimmett (Cambridge), Hermann Thorisson (Reykjavik).
Mini courses by: Jean Bertoin (Paris), Erwin Bolthausen (Zürich), Aernout van Enter (Groningen), Roberto Fernández (Rouen), Olle Häggström (Göteborg), Frank den Hollander (Leiden and Eindhoven), Fabio Martinelli (Roma), Servet Martinez (Santiago), Andrea Montanari (Stanford), Stefano Olla (Paris), Yuval Peres (Seattle and Berkeley), Frank Redig (Leiden), Fraydoun Rezakhanlou (Berkeley), Senya Shlosman (Marseille).