Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
Random Walks in Random Environment
(1822 August 2003)
Supported by The European Science Foundation (ESF) through its project
"Random Dynamics in Spatially Extended Systems"
in association with the Newton Institute programme entitled
Interaction and Growth in Complex Stochastic Systems (21 July to 19
December 2003)
Organisers: Erwin Bolthausen (University Zürich), and AlainSol Sznitman
(ETH Zürich).
Theme of Conference: Much is now known on models of random walks in a
symmetric random environment. This leads to a diffusiontype behavior with
effectively a nonrandom diffusion matrix. The phenomena of effective
selfaveraging 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 behavior 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 nondiffusive behavior for high
dimension. Also, almost nothing is known rigorously in the twodimensional
case.
Of considerable interest are also random walks in a random potentials.
Here, if the potential is time independent, the asymptotic behavior can be
nondiffusive, and particles move to a ‘trap’ where they stay for a long
time. At the same time, the important case of a timedependent 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.
Speakers include: M Barlow (British Columbia); I Benjamini (Weizmann);
JP Bouchaud (Saclay); F Comets (Jussieu); Th Delmotte (Toulouse);
B Derrida (ENS, Paris); N Gantert (Karlsruhe); I Goldsheid (QMW); F den
Hollander (Eurandom); D Ioffe (Haifa); H Kesten (Cornell); P Mathieu
(Marseille); F Merkl (Leiden); SA Molchanov (North Carolina); V
Sidoravicius (Rio de Janeiro); YA G Sinai (Princeton); S Volkov (Bristol);
O Zeitouni (Minnesota); M Zerner (Stanford).
Location & Cost: The workshop will take place at the Newton Institute and
accommodation for participants will be provided in single study bedrooms
with shared bathroom at Wolfson Court. The workshop package, costing £375,
includes accommodation, breakfast and dinner from dinner on Sunday 17
August 2003 until breakfast on Saturday 23 August 2003, and lunch and
refreshments during the days that lectures take place.
Further Information and Applications Forms are available from the WWW at:
http://www.newton.cam.ac.uk/programs/IGS/igsw02.html
Completed application forms should be sent to Tracey Andrew at the above
address, or via email to: [log in para visualizar]
Closing Date for the receipt of applications is 31 March 2003
