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April 4- 2003:
11:15-13:00:
V. Sidoravicius
Percolation in strongly
dependent environment
14:15-16:00: Kurt
Johansson
Random permutations
and random tilings
Abstracts:
"Percolation in strongly dependent environment"
Abstract. During the lecture I will mention several problems
which appeared in the last decade in probability theory,
statistical mechanics and theoretical computer science, and
which, inspite of their different appearance, can be described
as a class of percolation processes in strongly dependent environments.
We will discuss general ideas of multiscale analysis method suitable
for this type of dependence and, as well, present solutions to the
original problems.
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.