Separation conditions on controlled Moran constructions
Volume 200 / 2008
Fundamenta Mathematicae 200 (2008), 69-100
MSC: Primary 28A80; Secondary 37C45.
DOI: 10.4064/fm200-1-2
Abstract
It is well known that the open set condition and the positivity of the $t$-dimensional Hausdorff measure are equivalent on self-similar sets, where $t$ is the zero of the topological pressure. We prove an analogous result for a class of Moran constructions and we study different kinds of Moran constructions in this respect.
