Weakly controlled Moran constructions and iterated functions systems in metric spaces
Weakly controlled Moran constructions and iterated functions systems in metric spaces
We study the Hausdorff measures of limit sets of weakly controlled Moran constructions in metric spaces. The separation of the construction pieces is closely related to the Hausdorff measure of the corresponding limit set. In particular, we investigate different separation conditions for semiconformal iterated function systems. Our work generalizes well-known …