IGSW02
17 August 2003 to 23 August 2003
Supported by The European Science Foundation (ESF) through its project "Random Dynamics in Spatially Extended Systems"
Much is now known on models of random walks in a symmetric random environment. This leads to a diffusion-type behaviour with effectively a non-random diffusion matrix. The phenomena of effective self-averaging for random walks in a symmetric random environment is closely related to the homogenization problem for second order elliptic operators with random coefficients. Most results in this area were obtained in 1980's. However, the general asymmetric case of a random walk in a random environment cannot be treated by similar techniques, and remains largely open in more than one dimension. There has recently been considerable progress in particular concerning random walks in random environment with ballistic behaviour and large deviation principles for random walks in random environments. But many questions are still open. For instance, it is still not known whether for large enough perturbations one can get non-diffusive behaviour for high dimension. Also, almost nothing is known rigorously in the two-dimensional case.
Of considerable interest are also random walks in a random potentials. Here, if the potential is time independent, the asymptotic behaviour can be non-diffusive, and particles move to a trap where they stay for a long time. At the same time, the important case of a time-dependent potential is much less understood, although there are interesting recent developments.
Some closely related topics are: Random walks in random sceneries, directed polymers in random environments (which are connected with a wide class of growth models), and aging phenomena.
Monday 18th August 2003 | |||
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08:15 to 09:00 | No Room Required | ||
09:00 to 09:45 |
Martin Barlow University of British Columbia |
Room 1 | |
10:00 to 10:45 | Room 1 | ||
11:00 to 11:30 | No Room Required | ||
11:30 to 12:15 |
Noam Berger University of California |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:00 to 14:45 |
Bernard Derrida Athens University of Economics and Business |
Room 1 | |
15:00 to 15:30 | No Room Required | ||
15:30 to 16:15 |
Stanislav Molchanov |
Room 1 | |
18:00 to 18:45 | No Room Required | ||
18:45 to 19:30 | No Room Required |
Tuesday 19th August 2003 | |||
---|---|---|---|
09:00 to 09:45 |
Carlo Boldrighini |
Room 1 | |
10:00 to 10:45 |
Firas Rassoul-Agha Ohio State University |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:15 |
Tomasz Komorovski Maria Curie Sklodowska University |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:00 to 14:45 |
Itai Benjamini University of California, Irvine and Weizmann Institute of Science |
Room 1 | |
15:00 to 15:30 | No Room Required | ||
15:30 to 16:15 |
Martin Zerner Stanford University |
Room 1 | |
16:30 to 17:15 |
Stu Whittington University of Toronto |
Room 1 | |
18:45 to 19:30 | No Room Required |
Wednesday 20th August 2003 | |||
---|---|---|---|
09:00 to 09:45 |
Francis Comets Université Paris 7 - Denis-Diderot |
Room 1 | |
10:00 to 10:45 |
Nobuo Yoshida Kyoto University |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:15 |
Philippe Carmona Université de Nantes |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:00 to 14:45 | Room 1 | ||
15:00 to 15:30 | No Room Required | ||
15:30 to 16:15 | Room 1 | ||
16:30 to 17:15 |
Random Schroedinger operators with scaled Gibbsian potentials |
Room 1 | |
20:00 to 00:00 | No Room Required |
Thursday 21st August 2003 | |||
---|---|---|---|
09:00 to 09:45 |
Vladas Sidoravicius IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro |
Room 1 | |
10:00 to 10:45 |
Some proofs for Vertex-reinforced jump processes ("Werner Walks") |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:15 |
Heinrich Matzinger |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:00 to 14:45 | Room 1 | ||
15:00 to 15:30 | No Room Required | ||
15:30 to 16:15 | Room 1 | ||
16:30 to 17:15 |
Joseph Conlon University of Michigan |
Room 1 | |
18:45 to 19:30 | No Room Required |
Friday 22nd August 2003 | |||
---|---|---|---|
09:00 to 09:45 |
Barry Hughes University of Melbourne |
Room 1 | |
10:00 to 10:45 |
Dmitry Ioffe Technion - Israel Institute of Technology |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:15 |
Nina Gantert |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:00 to 14:45 |
Thierry Delmotte Université Paul Sabatier Toulouse III |
Room 1 | |
15:00 to 15:30 | No Room Required | ||
15:30 to 16:15 |
Oleg Zaboronski University of Warwick |
Room 1 | |
16:30 to 17:15 |
Harry Kesten Cornell University |
Room 1 | |
18:45 to 19:30 | No Room Required |
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