EVENT DETAILS AND ABSTRACT

Title: Large deviations and random polynomials
Speaker: Subhro Ghosh
Speaker Info: Princeton
Brief Description:
Special Note:
Abstract:

We obtain a large deviations principle (in the space of probability measures on $\C$) for the empirical measure of zeroes of random polynomials with i.i.d. exponential coefficients. One of the key challenges here is the fact that the coefficients are a.s. all positive, which enforces a growing number of highly non-linear constraints on the locations of the zeroes. En route, we will discuss a recent characterization theorem of Bergweiler and Eremenko, and its application in the proof of our main theorem. Based on joint work with Ofer Zeitouni.