Geodesic
Separation conditions on controlled Moran constructions
Antti Käenmäki1 ; Markku Vilppolainen1
1Department 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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_fm200_1_2,
     author = {Antti K\"aenm\"aki and Markku Vilppolainen},
     title = {Separation conditions on controlled {Moran} constructions},
     journal = {Fundamenta Mathematicae},
     pages = {69--100},
     year = {2008},
     volume = {200},
     number = {1},
     doi = {10.4064/fm200-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm200-1-2/}
}
TY  - JOUR
AU  - Antti Käenmäki
AU  - Markku Vilppolainen
TI  - Separation conditions on controlled Moran constructions
JO  - Fundamenta Mathematicae
PY  - 2008
SP  - 69
EP  - 100
VL  - 200
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm200-1-2/
DO  - 10.4064/fm200-1-2
LA  - en
ID  - 10_4064_fm200_1_2
ER  - 
%0 Journal Article
%A Antti Käenmäki
%A Markku Vilppolainen
%T Separation conditions on controlled Moran constructions
%J Fundamenta Mathematicae
%D 2008
%P 69-100
%V 200
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/fm200-1-2/
%R 10.4064/fm200-1-2
%G en
%F 10_4064_fm200_1_2
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

Cité par Sources :