Zero Distribution of Random Bernoulli Polynomial Mappings
Complex Variables
2023-10-31 v2 Probability
Abstract
In this note, we study asymptotic zero distribution of multivariable full system of random polynomials with independent Bernoulli coefficients. We prove that with overwhelming probability their simultaneous zeros sets are discrete and the associated normalized empirical measure of zeros asymptotic to the Haar measure on the unit torus.
Cite
@article{arxiv.2301.04203,
title = {Zero Distribution of Random Bernoulli Polynomial Mappings},
author = {Turgay Bayraktar and Çiğdem Çelik},
journal= {arXiv preprint arXiv:2301.04203},
year = {2023}
}
Comments
Minor revisions. To appear in Electron. J. Probab