44 citations · 175 across the 26 of their papers we have counts for
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math.CA2010★ 41 cited
Existence of doubling measures via generalised nested cubes
Antti Käenmäki, Tapio Rajala, Ville Suomala
Working on doubling metric spaces, we construct generalised dyadic cubes adapting ultrametric structure. If the space is complete, then the existence of such cubes and the mass dis…
math.CA2010
Dimension of the boundary in different metrics
Riku Klén, Ville Suomala
We consider metrics on Euclidean domains that are induced by continuous densities and study the Hausdorff and packing dimensions of t…
math.CA2010★ 6 cited
Local homogeneity and dimensions of measures
Antti Käenmäki, Tapio Rajala, Ville Suomala
We introduce two new concepts, local homogeneity and local L^q-spectrum, both of which are tools that can be used in studying the local structure of measures. The main emphasis is…