Separation conditions on controlled Moran constructions

Antti Käenmäki, and Markku Vilppolainen. "Separation conditions on controlled Moran constructions." Fundamenta Mathematicae 200.1 (2008): 69-100. <http://eudml.org/doc/282974>.

@article{AnttiKäenmäki2008,
abstract = {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.},
author = {Antti Käenmäki, Markku Vilppolainen},
journal = {Fundamenta Mathematicae},
keywords = {Moran construction; iterated function system; limit set; invariant set; separation condition; open set condition; Hausdorff measure; Hausdorff dimension},
language = {eng},
number = {1},
pages = {69-100},
title = {Separation conditions on controlled Moran constructions},
url = {http://eudml.org/doc/282974},
volume = {200},
year = {2008},
}

TY - JOUR
AU - Antti Käenmäki
AU - Markku Vilppolainen
TI - Separation conditions on controlled Moran constructions
JO - Fundamenta Mathematicae
PY - 2008
VL - 200
IS - 1
SP - 69
EP - 100
AB - 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.
LA - eng
KW - Moran construction; iterated function system; limit set; invariant set; separation condition; open set condition; Hausdorff measure; Hausdorff dimension
UR - http://eudml.org/doc/282974
ER -