paper

How constructive is constructing measures?

arXiv:1409.3428

Abstract

Given some set, how hard is it to construct a measure supported by it? We classify some variations of this task in the Weihrauch lattice. Particular attention is paid to Frostman measures on sets with positive Hausdorff dimension. As a side result, the Weihrauch degree of Hausdorff dimension itself is determined.

How constructive is constructing measures? · wovepaper