# Zeros of random polynomials and its higher derivatives

@inproceedings{Byun2018ZerosOR, title={Zeros of random polynomials and its higher derivatives}, author={Sung-soo Byun and Jaehun Lee and Tulasi Ram Reddy}, year={2018} }

In this article we study the limiting empirical measure of zeros of higher derivatives for sequences of random polynomials. We show that these measures agree with the limiting empirical measure of zeros of corresponding random polynomials. Various models of random polynomials are considered by introducing randomness through multiplying a factor with a random zero or removing a zero at random for a given sequence of deterministic polynomials. We also obtain similar results for random polynomials… CONTINUE READING

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## On the local pairing behavior of critical points and roots of random polynomials

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## Sums of random polynomials with independent roots.

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## Distances between zeroes and critical points for random polynomials with i.i.d. zeroes

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## Critical points of random polynomials with independent identically distributed roots

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## Zeros and coefficients. https://www.math.purdue.edu/~eremenko/newprep.html, as seen on 24-January-2018

## Mäıda. Concentration for Coulomb gases and Coulomb transport inequalities

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