Combinatorics and Discrete Probability Seminar
Marcus Michelen
UIC
On root repulsion of random polynomials
Abstract: Given a random polynomial with independent coefficients, what do its roots tend to look like? Classical results going back to Hammersley and Erdos-Turan show that the roots are typically near the unit circle. One can also show that the roots tend to repel each other. I'll discuss some work in preparation that describes the repulsion between roots in a precise quantitative sense. This is based on joint work with Oren Yakir.
Monday February 3, 2025 at 3:00 PM in 1227 SEO