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ISRMT Seminar: Random polynomials near the unit circle

Oren Yakir (Tel Aviv University)
Monday, September 18, 2023
4:00-5:00 PM
EH1866 East Hall Map
It is well known that a random polynomial with iid coefficients has most of its roots close to the unit circle. Recently, we found that both the minimum modulus of the polynomial on the unit circle itself, as well as the closest root to the unit circle has a limiting exponential distribution. In the talk I will explain the joint mechanism behind these results.

The talk is based on joint works with Nicholas Cook, Hoi Nguyen and Ofer Zeitouni.

Recording of the talk can be found at
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics, seminar
Source: Happening @ Michigan from Integrable Systems and Random Matrix Theory Seminar - Department of Mathematics, Department of Mathematics