How constructive is constructing measures?

Arno Pauly, Willem Fouché

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.

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DOI: https://doi.org/10.4115/jla.2017.9.c3

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Journal of Logic and Analysis ISSN: 1759-9008