INHOMOGENEOUS RANDOM SYSTEMS
Wednesday 28 January 2004
Institut Henri Poincaré
, Amphi Hermite |
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 29 and 30 January 2004 welcomes short communications.
The 2004 session will be devoted to:
Moderator: Christian Maes (Leuven)
The theory of interacting particle systems was originally motivated
by statistical physics, and quickly found natural applications in
other contexts such as biology and economy.
As a branch of probability,
the theory constructs global Markov processes for spatially extended
systems with local interactions. It allows a stochastic dynamical
theory of equilibrium and nonequilibrium processes, addressing questions
on phase transitions, metastability, hydrodynamical behavior and
ergodic properties.
Among the directions that have been pushed forward recently,
we will focus on:
* rigourous mathematical approach to the thermodynamic limit for non-Feller processes, and for more complicated, even dynamically involved, architectures.
* notions of Nash equilibria and strategies as in game theory, which ask for spatially extended versions, partially replacing the concepts of (local) detailed balance and thermodynamic equilibria.
For applications, inspiration is also sought in evolution processes, both microscopic and macroscopic, coming from biology and economy. In the conference, some of these recent trends will be presented and illustrated both from a purely mathematical and in an enlarged applied perspective.
List of speakers: B. Derrida (ENS, Paris), P. Hogeweg (Bioinformatics, Utrecht), A. Jarai (CWI, Amsterdam), V. Malyshev (INRIA, Rocquencourt), R.W.J. Meester (Vrije Universiteit, Amsterdam), J. Miekisz (Wydzial Matematyki, Warszawa), L. Triolo (Dipartimento di Matematica, Roma).
Titles and abstracts - Schedule
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