Open Access
2023 Zero distribution of random Bernoulli polynomial mappings
Turgay Bayraktar, Çiğdem Çelik
Author Affiliations +
Electron. J. Probab. 28: 1-15 (2023). DOI: 10.1214/23-EJP1033

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.

Funding Statement

T.B. and Ç.Ç. are partially supported by TÜBİTAK grant ARDEB-1001/119F184.

Citation

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Turgay Bayraktar. Çiğdem Çelik. "Zero distribution of random Bernoulli polynomial mappings." Electron. J. Probab. 28 1 - 15, 2023. https://doi.org/10.1214/23-EJP1033

Information

Received: 11 January 2023; Accepted: 27 September 2023; Published: 2023
First available in Project Euclid: 27 October 2023

MathSciNet: MR4660699
Digital Object Identifier: 10.1214/23-EJP1033

Subjects:
Primary: 30C10 , 60G99

Keywords: Bernoulli polynomial , random polynomial mapping , zero distribution

Vol.28 • 2023
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