A quantitative CLT for the zeros of random trigonometric polynomials

Ao Huang, Zhonggen Su, Xiaolin Wang

Let $X_N(t)$, $t\in [0,\pi ]$, be a stationary Gaussian trigonometric polynomial, and let ${\mathcal{Z}}_N$ denote the number of zeros of the rescaled process $X_N(t/N)$ on $[0,N\pi ]$. We e…