44 citations · 175 across the 26 of their papers we have counts for
4 papers · 2 filters
Local multifractal analysis in metric spaces
Antti Käenmäki, Tapio Rajala, Ville Suomala
We study the local dimensions and local multifractal properties of measures on doubling metric spaces. Our aim is twofold. On one hand, we show that there are plenty of multifracta…
On Cantor sets and doubling measures
Marianna Csörnyei, Ville Suomala
For a large class of Cantor sets on the real-line, we find sufficient and necessary conditions implying that a set has positive (resp. null) measure for all doubling measures of th…
Local conical dimensions for measures
De-Jun Feng, Antti Käenmäki, Ville Suomala
We study the decay of as for different kinds of measures on and various cones around . As an application, we provide s…
Sets which are not tube null and intersection properties of random measures
Pablo Shmerkin, Ville Suomala
We show that in there are purely unrectifiable sets of Hausdorff (and even box counting) dimension which are not tube null, settling a question of Carbery, Sor…