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math.PR2019★ 2 cited
Exponential concentration for the number of roots of random trigonometric polynomials
Hoi H. Nguyen, Ofer Zeitouni
We show that the number of real roots of random trigonometric polynomials with i.i.d. coefficients, which are either bounded or satisfy the logarithmic Sobolev inequality, satisfie…
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…