Student Analysis Seminar

This talk aims to provide an introduction to determinantal point processes, which arise surprisingly often in random matrix theory, combinatorics and physics. We will first review notions such as point processes and their joint intensities, and then define determinantal processes. After discussing some basic properties, we will shift the focus on one particular example: the zeros of power series with independent complex Gaussian coefficients, and compare the results of this process to those of other classical processes. Speaker(s): Han Le (University of Michigan)