Zhonggen Su
Zhejiang University, P.R. China
Title: Precise asymptotics for random matrices and random growth models.

In this talk we consider the largest eigenvalues of random matrices from the Gaussian unitary ensemble and the Laguerre unitary ensemble and the rightmost charge in certain random growth models. We obtain some precise asymptotics results, which are in a sense similar to the precise asymptotics for sums of independent random variables in the context of the law of large numbers and complete convergence. Our proof depends heavily upon the upper tail estimates for random matrices and random growth models. The Tracy-Widom distribution plays a central role as well.
©2005, Department of Mathematical Sciences
Last Modified: November 8, 2005