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Math Colloquium
Toufic Suidan
Department of Mathematics, University of Arizona
Title: The symmetric polynuclear growth process and random matrix theory

Abstract: The polynuclear growth process (PNG), introduced and analyzed by Praehofer and Spohn, is a popular growth model studied in both mathematical physics and probability. I will describe both the PNG process and its symmetric analogue. I will then describe several random matrix type limit theorems on the fluctuations of the shape of the PNG droplet for the symmetric PNG process with a source. This description will interpolate between each of the classical random matrix ensembles and the Gaussian distribution. This is joint work with J. Baik, A. Borodin, and E. Rains.

Date: Wednesday, February 11, 2009
Time: 5:00 pm
Location: Doherty Hall A310