Separation conditions on controlled Moran constructions

• Autorzy: Antti Käenmäki , Markku Vilppolainen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37C45: Dimension theory of dynamical systems
• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 200
• Numer: 1
• Strony: 69-100

Daty

wydano

2008

Twórcy

autor

Antti Käenmäki

• Department of Mathematics and Statistics, P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland

autor

Markku Vilppolainen

• Department of Mathematics and Statistics, P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland

Identyfikatory

DOI

10.4064/fm200-1-2