The Hausdorff dimension of the intersection of $\psi$-well approximable numbers and self-similar sets

Suxuan Chen

Let $\psi :\mathbb{N}\to {\mathbb{R}}_{+}$ be a monotonically non-increasing function, and let ${\psi }_v:\mathbb{N}\to {\mathbb{R}}_{+}$ be defined by ${\psi }_v(q)=1/q^v$. In this article,…