44 citations · 69 across the 2 of their papers we have counts for
2 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…