Stable intersections of regular conformal Cantor sets with large Hausdorff dimensions

Hugo Araújo, Carlos Gustavo Moreira, Alex Zamudio Espinosa

In this paper we prove that among pairs $K,K^{\prime }\subset \mathbb{C}$ of conformal dynamically defined Cantor sets with sum of Hausdorff dimensions $HD(K)+HD(K^{\prime })>2$, there is an open…