Dimension drop for intersections of Cantor sets

Lai Jiang, Bing Li, Ruofan Li +1

Let $E\subset \mathbb{R}$ be a self-similar set generated by a homogeneous iterated function system $\hat{I}¦$ with contraction ratio $\ddot{I}\in (0,1)$. Assume that $\hat{I}¦$ satisfies the open s…