A. Käenmäki

activity

20072026

most citedDimensions, Whitney covers, and tubular neighborhoods

83 citations · 415 across the 22 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

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…