Trigonometric multiplicative chaos and Application to random distributions

Aihua Fan, Yve Meyer

The random trigonometric series ${\sum }_{n=1}^{\infty }{\rho }_n\cos (nt+{\omega }_n)$ on the circle $\mathbb{T}$ are studied under the conditions $\sum |{\rho }_n{|}^2=\infty$ and ${\rho }_n\to 0$, where $\{ω_…