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20102021
most citedPacking dimension and Ahlfors regularity of porous sets in metric spaces

44 citations · 175 across the 26 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.CA2011★ 5 cited

Dimension, entropy, and the local distribution of measures

Tuomas Sahlsten, Pablo Shmerkin, Ville Suomala

We present a general approach to the study of the local distribution of measures on Euclidean spaces, based on local entropy averages. As concrete applications, we unify, generaliz…

math.CA2011

Thin and fat sets for doubling measures in metric spaces

Tuomo Ojala, Tapio Rajala, Ville Suomala

We consider sets in uniformly perfect metric spaces which are null for every doubling measure of the space or which have positive measure for all doubling measures. These sets are…