EVENT DETAILS AND ABSTRACT

Title: Introduction to random matrices, I
Speaker: Professor Kenneth McLaughlin
Speaker Info: University of North Carolina, Chapel Hill
Brief Description:
Special Note:
Abstract:

We will introduce random matrices and orthogonal polynomial ensembles of random variables. As an example of the variety of connections afforded by these two topics, we will briefly discuss the statistical behavior of random rhombus tilings of hexagons. Following that we will explain how orthogonal polynomials are used to obtain useful representations of fundamental statistics for these models. The connections between various models (such as those that will be described) comes about through detailed asymptotic analysis of these fundamental formulae.