Zero distribution of random Bernoulli polynomial mappings

Bayraktar, Turgay and Çelik, Çiğdem (2023) Zero distribution of random Bernoulli polynomial mappings. Electronic Journal of Probability, 28 . ISSN 1083-6489

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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.
Item Type: Article
Uncontrolled Keywords: Bernoulli polynomial; random polynomial mapping; zero distribution
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Turgay Bayraktar
Date Deposited: 05 Feb 2024 20:47
Last Modified: 05 Feb 2024 20:47

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