09w5085 Dynamics and Statistics of Spatially Extended Systems (dedicated to 60th birthday of Leonid Bunimovich)

Arriving Sunday, January 18 and departing Friday, January 23, 2009

Organizers: Konstantin Khanin (University of Toronto), Howie Weiss (Georgia Institute of Technology).

Confirmed Participants

Press Release: Dynamics and Statistics of Spatially Extended Systems (dedicated to 60th birthday of Leonid Bunimovich)

Information for Participants

Schedule and Abstracts (PDF file)

Mailing List

Objectives

The workshop will include talks on probabilistic approaches in both finite-dimensional and spatially extended cases. Below we list some of the problems for infinitely-dimensional systems which we plan to address.

1. Invariant measures for stochastic PDE's (Navier-Stokes, Burgers and others).

2. Blow-up phenomenon and renormalization.

3. Space-time chaos and phase transitions for coupled map lattices.

4. Network Synchronization (with applications in neurobiology).

5. Averaging theory for spatially-extended system.

6. Fourier law and heat transport.

To the best of our knowledge this is the first workshop with a focus on mathematical problems in the theory of infinite-dimensional dynamical systems which brings together mathematicians, theoretical physicists and researches working on practical applications. A number of leading experts including V. Afraimovich, D. Campbell, N. Chernov, D. Dolgopyat, V. Kaloshin, J. Lebowitz, C. Liverani, A. Neishtadt, Y. Pesin, V. Rom-Kedar, M. Rabinovich, S. Shlosman, A. Shirelman, M. Shub, Ya. Sinai, D. Szasz, L-S Young, G Zaslavski expressed their strong interest in participating. We are confident that we will be able to attract a very strong group of researches, including experts in applications.

In our opinion the expertise accumulated recently in the theory of dynamical system gives a real hope for a very significant improvement of our understanding of spatially extended systems. Such an improvement is the main goal of the proposed workshop.