Intersections of Cantor sets with hyperbolas and continuous images

Yi Cai, Xiu Chen, Lipeng Wang

Given $\hat{I}»\in (0,1/2)$, let \begin{equation*} C_λ=\set{(1-λ)\sum_{i=1}^\infty d_iλ^{i-1}:d_i\in\set{0,1}} \end{equation*} be the middle Cantor sets with convex hull $[0,1]$. We…