A. Käenmäki

most citedPacking dimension and Ahlfors regularity of porous sets in metric spaces

44 citations · 88 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2018

Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles

Balázs Bárány, Antti Käenmäki, Ian D. Morris

In topics such as the thermodynamic formalism of linear cocycles, the dimension theory of self-affine sets, and the theory of random matrix products, it has often been found useful…

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.CA2017★ 44 cited

Packing dimension and Ahlfors regularity of porous sets in metric spaces

Esa Järvenpää, Maarit Järvenpää, Antti Käenmäki +3

Let $X$ be a metric measure space with an $s$ -regular measure $μ$ . We prove that if $A \subset X$ is $ϱ$ -porous, then $dim_{p} (A) \leq s - c ϱ^{s}$ where $\dim_{\math…