44 citations · 69 across the 3 of their papers we have counts for
3 papers
math.DS2017★ 44 cited
Dimension and measures on sub-self-affine sets
Antti Käenmäki, Markku Vilppolainen
We show that in a typical sub-self-affine set, the Hausdorff and the Minkowski dimensions coincide and equal the zero of an appropriate topological pressure. This gives a partial p…
math.DS2017★ 25 cited
Separation conditions on controlled Moran constructions
Antti Käenmäki, Markku Vilppolainen
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 topologic…
math.DS2010
Weakly controlled Moran constructions and iterated functions systems in metric spaces
Tapio Rajala, Markku Vilppolainen
We study the Hausdorff measures of limit sets of weakly controlled Moran constructions in metric spaces. The separation of the construction pieces is closely related to the Hausdor…