Zero Distribution of Random Bernoulli Polynomial Mappings

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.

Minor revisions. To appear in Electron. J. Probab

References in corpus (2)

• Zero distribution of random sparse polynomials
• A Poisson formula for the sparse resultant