3 problems

Let $u$ be a near-$d$-regular measure on $\mathbb{R}^{2}$, let $0\leq s<d$, and let $mathsigma$ be a Borel probability measure on $S^{1}$. Suppose that for $mathsigma$-almost every…

Let $F\subseteq\mathbb{R}^d$. Denote by $\overline{\dim}_{\mathrm{A}}^\theta F$ and $\dim_{\mathrm{A}}^\theta F$ the upper and ordinary Assouad spectra, respectively. Eventual coin…

Assouad-dimension conjecture. For all such Takagi functions,