Seminars at SMU Delhi
October 26, 2017,
4:00 PM at Seminar Room 2
Tulasi Ram Reddy,
New York University Abu Dhabi, UAE
On critical points of random polynomials
Abstract of Talk
In this talk we study critical points (zeros of derivative) of random polynomials. Pemantle and Rivin initiated the study of critical points of random polynomials. We show that for a any generic sequence of random polynomials, the limiting empirical measure of zeros and critical points agree. We also establish similar phenomenon for zeros of higher derivatives. Further we attempt to compute the matching distance between zeros and critical points of random polynomials. We will discuss the problem in the case when all the zeros of the polynomial are real.
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