A. Käenmäki

activity

20172026

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

44 citations · 89 across the 6 of their papers we have counts for

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math.CA2026

Projections of self-affine sets onto lines

Balázs Bárány, Antti Käenmäki, István Kolossváry

We prove an all-directions Marstrand-Mattila projection theorem for self-affine measures and sets in $R^{d}$ . Under exponential separation, together with proximality and str…

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…