Exponential concentration for the number of roots of random trigonometric polynomials

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.

17 pages

References in corpus (1)

• Non universality for the variance of the number of real roots of random trigonometric polynomials