The fractal uncertainty principle via Dolgopyat's method in higher dimensions

Aidan Backus, James Leng, Zhongkai Tao

We prove a fractal uncertainty principle with exponent $\frac{d}{2}-\delta +\epsilon$, $\epsilon >0$, for Ahlfors--David regular subsets of ${\mathbb{R}}^d$ with dimension $\delta$ whi…