Title: The Longest Increasing Subsequences of Random Symmetrized Permutations
Speaker: Professor Jinho Baik
Speaker Info: Princeton University and IAS
Brief Description:
Special Note:
Abstract:
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?Date: Friday, February 1, 2002