4 problems

Let $u$ be a self-conformal measure on $\mathbb{C}$ that is not conjugate to a linear system and is supported on an analytic curve that is not a line. **Polynomial Fourier decay co…

Let $u$ be a compactly supported probability measure on $\mathbb{R}^d$ satisfying … and … Assume that $\alpha>2d/3$. Three-term progression distance conjecture. Under appropriate q…

Let $\rho>0$ and let $\rho$-Fourier decay mean that a measure $u$ satisfies the decay inequality … Suppose $\Gamma$ is a smooth hypersurface and a measure $mu$ defined on $\Gamma$ s…

Let $S$ be a smooth hypersurface in ${\mathbb R}^d$ given by the graph of a smooth function, let $\sigma_1$ be the associated measure, and define … where…