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math.CA2012★ 9 cited
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…
math.CA2012★ 1 cited
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…