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math.PR2019
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.PR2017★ 3 cited
Central limit theorems for the real zeros of Weyl polynomials
Yen Do, Van Vu
We establish the central limit theorem for the number of real roots of the Weyl polynomial , where are iid Gaussian rando…