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March 7 2003:
11:15-13:00:
Frank den Hollander
Ergodic properties of random walk in
random scenery
14:15-16:00: Kurt
Johansson
Random growth and random matrices
Abstracts:
Talk 1: Probability measures from random matrix theory
Talk 2: Random growth and random matrices
Talk 3: Random permutations and random tilings
Abstract: The eigenvalue measures from random matrix theory give
rise to probability measures which arise not only within random
matrix theory itself but also in other contexts. I will review
the basic facts from random matrix theory and discuss in
particular the occurrence of the largest eigenvalue distribution
in last-passage percolation, random permutations, certain
two-dimensional
growth models and in random tilings.
Frank den Hollander
Ergodic
properties of random walk in random scenery.
We consider random walk in random scenery, and obtain
necessary and sufficient conditions under which this
process is a K-automorphism, is Bernoulli, respectively,
is weak Bernoulli. These notions and their interrelation
will be explained during the talk.
Joint work with M. Keane, J. Serafin and J. Steif.