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A note on the distribution of digits in triadic expansions. (English) Zbl 0943.28009

The author estimates the Hausdorff dimension of some Borel subsets of the real line intimately connected with the digits in triadic expansions of real numbers. The proof is based on a construction of a suitable measure. In the second part of the paper a multifractal analysis of some related measures is obtained.
Reviewer: I.Netuka (Praha)

MSC:

28A78 Hausdorff and packing measures
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