Exponential concentration for the number of roots of random trigonometric polynomials

2019/12/27 by Nguyen, Hoi H., Zeitouni, Ofer
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1912.12051

Abstract

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, satisfies an exponential concentration of measure.

Related

• Concentration of the number of real roots of random polynomials
• Expected number of real roots of random trigonometric polynomials
• Palindromic random trigonometric polynomials
• The minimum modulus of Gaussian trigonometric polynomials
• Roots of random trigonometric polynomials with general dependent coefficients