Exponential concentration for the number of roots of random trigonometric polynomials
Probability
2019-12-30 v1
Abstract
We show that the number of real roots of random trigonometric polynomials with i.i.d. coefficients, which are either bounded or satisfy the logarithmic Sobolev inequality, satisfies an exponential concentration of measure.
Keywords
Cite
@article{arxiv.1912.12051,
title = {Exponential concentration for the number of roots of random trigonometric polynomials},
author = {Hoi H. Nguyen and Ofer Zeitouni},
journal= {arXiv preprint arXiv:1912.12051},
year = {2019}
}
Comments
17 pages