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Mycielski-regularity of Gibbs measures on cookie-cutter sets. (English) Zbl 1409.60017

Summary: It has been shown that all Radon probability measures on \(\mathbb{R}\) are Mycielski-regular, as well as Lebesgue measure on the unit cube and certain self-similar measures. In this paper, these results are extended to Gibbs measures on cookie-cutter sets.

MSC:

60B05 Probability measures on topological spaces
28A12 Contents, measures, outer measures, capacities
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