Concentration of the number of real roots of random polynomials
Probability
2024-02-15 v1
Abstract
Many statistics of roots of random polynomials have been studied in the literature, but not much is known on the concentration aspect. In this note we present a systematic study of this question, aiming towards nearly optimal bounds to some extent. Our method is elementary and works well for many models of random polynomials, with gaussian or non-gaussian coefficients.
Cite
@article{arxiv.2402.08773,
title = {Concentration of the number of real roots of random polynomials},
author = {Ander Aguirre and Hoi H. Nguyen and Jingheng Wang},
journal= {arXiv preprint arXiv:2402.08773},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2008.04111, arXiv:1912.12051