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The longest increasing subsequences of random symmetrized permutations
Colloquium| Speaker: | Dr. Jinho Baik, Princeton University and Institute for Advanced Study |
| Location: | 693 Kerr |
| Start time: | Tue, Feb 12 2002, 4:10PM |
Description
The limiting distribution of the (properly scaled) length of the
longest increasing subsequence of a random permutation was obtained
by the joint work with Deift and Johansson in 1999. It is found to be
identical to the limiting distribution of the largest eigenvalue
of a random complex Hermitian matrix. In the present talk,
we discuss the following question : which object in the random permutation
would correpond to the largest eigenvalues of other random matrices
like real symmetric matrices and quaternionic self-dual matrices which
occur naturally in the random matrix theory ?