Proceedings: Markov Processes and Related Fields 12(2) 2006

Systèmes Aléatoires Inhomogènes

Tuesday 25 and Wednesday 26 January 2005

Institut Henri Poincaré
11, rue Pierre et Marie Curie

The aim of this annual workshop is to bring together mathematicians and physicists working on extended random systems, and to discuss recent developments on themes of common interest. Time does not allow for oral communications other than the invited lectures. The `` Rencontre de Physique Statistique'' taking place in Paris 27 and 28 January 2005 welcomes short communications.

The 2005 session will be devoted to:

Tuesday January 25: (Amphi Darboux)

Simple exclusion process and last passage percolation

Moderator: Pablo Ferrari (São Paulo et IHES)

The totally asymmetric one-dimensional simple exclusion process can be mapped to last passage percolation in two dimensions. The hydrodynamic limits of the exclusion process correspond to the shape theorems of the percolation model. The fluctuations of the percolation interface are related with the second class particle fluctuations in the exclusion. Those processes are also related with the behavior of the determinants of random Gaussian matrices. This workshop attempts to bring together some of the people currently working in this exciting developing theme.

List of speakers: O. Angel (Vancouver), B. Derrida (Paris), P. Ferrari (München), J. Lebowitz (Rutgers et IHES), J. Martin (Paris), T. Mountford (Lausanne), G. Schütz (Jülich).

Titles and abstracts - Schedule

Wednesday January 26 (Amphi Hermite)

Deterministic and stochastic models for coagulation and fragmentation

Moderator: Fraydoun Rezakhanlou (Berkeley)

Coagulation and fragmentation processes arise in various areas of science such as astrophysics, polymer science, colloidal chemistry and aerosol science. Such processes are used to model the galactic clustering, cell aggregation, smog particle coalescence and cloud formation. Stochastic models of interacting particles are often used to study the coagulation-fragmentation processes. These models are macroscopically described by mean field models such as the Smoluchowski's equation. Both the stochastic and mean field models are used to study the gelation phenomenon. In this session, related recent progress will be reported.

List of speakers: J. Bertoin (Paris), L. Bonilla (Madrid), F. P. Costa (Lisboa), N. Fournier(*) (Nancy), S. Mischler (Paris), J. Norris (Cambridge), B. Perthame (Paris).

Titles and abstracts - Schedule
(*) To be confirmed

The conference is free and open to all. To facilitate local organization, please register.

Organizers: Thierry Gobron, Ellen Saada

Programme and proceedings of previous sessions: 1999 - 2000 - 2001 - 2002 - 2003 - 2004

Partially supported by CNRS and the European Science Foundation program RDSES