44 citations · 175 across the 26 of their papers we have counts for
7 papers · 1 filter
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…
Volume growth of quasihyperbolic balls
Xiaohui Zhang, Riku Klén, Ville Suomala +1
The purpose of this paper is to study the notion of the quasihyperbolic volume and to find growth estimates for the quasihyperbolic volume of balls in a domain $G \subset {\mathbb…
Hausdorff dimension of affine random covering sets in torus
Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo +2
We calculate the almost sure Hausdorff dimension of the random covering set in -dimensional torus , where the sets $g_n\subset\mat…
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…
Dimensions of random affine code tree fractals
Esa Järvenpää, Maarit Järvenpää, Antti Käenmäki +3
We calculate the almost sure Hausdorff dimension for a general class of random affine planar code tree fractals. The set of probability measures describing the randomness includes…