Separation conditions on controlled Moran constructions
Dynamical Systems
2017-01-31 v1
Abstract
It is well known that the open set condition and the positivity of the -dimensional Hausdorff measure are equivalent on self-similar sets, where 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.
Cite
@article{arxiv.1701.08589,
title = {Separation conditions on controlled Moran constructions},
author = {Antti Käenmäki and Markku Vilppolainen},
journal= {arXiv preprint arXiv:1701.08589},
year = {2017}
}