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math.PR2019★ 1 cited
Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots
Yen Do, Hoi H. Nguyen, Oanh Nguyen
In this paper, we study the number of real roots of random trigonometric polynomials with iid coefficients. When the coefficients have zero mean, unit variance and some finite high…
math.PR2019
Real roots of random polynomials with coefficients of polynomial growth: a comparison principle and applications
Yen Q. Do
This paper seeks to further explore the distribution of the real roots of random polynomials with non-centered coefficients. We focus on polynomials where the typical values of the…