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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Official URL: https://dx.doi.org/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.
| 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 |
| URI: | https://research.sabanciuniv.edu/id/eprint/48659 |
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