6533b859fe1ef96bd12b6f29
RESEARCH PRODUCT
Separation conditions on controlled Moran constructions
Markku VilppolainenAntti Käenmäkisubject
Class (set theory)Pure mathematicsAlgebra and Number Theory010102 general mathematicsSeparation (statistics)Zero (complex analysis)Open setDynamical Systems (math.DS)01 natural sciencesTopological pressure0103 physical sciencesFOS: MathematicsQuantitative Biology::Populations and EvolutionHausdorff measure010307 mathematical physicsMathematics - Dynamical Systems0101 mathematicsMathematicsdescription
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 with this respect.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-30 | Fundamenta Mathematicae |