Geodesic
Separation conditions on controlled Moran constructions
Antti Käenmäki1 ; Markku Vilppolainen1
1 Department of Mathematics and Statistics P.O. Box 35 (MaD) FI-40014 University of Jyväskylä, Finland
Fundamenta Mathematicae, Tome 200 (2008) no. 1, pp. 69-100.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm200-1-2
Keywords: known set condition positivity t dimensional hausdorff measure equivalent self similar sets where zero topological pressure prove analogous result class moran constructions study different kinds moran constructions respect

Antti Käenmäki 1 ; Markku Vilppolainen 1

1 Department of Mathematics and Statistics P.O. Box 35 (MaD) FI-40014 University of Jyväskylä, Finland 
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Antti Käenmäki; Markku Vilppolainen. Separation conditions on controlled Moran constructions. Fundamenta Mathematicae, Tome 200 (2008) no. 1, pp. 69-100. doi : 10.4064/fm200-1-2. http://geodesic.mathdoc.fr/articles/10.4064/fm200-1-2/

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