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arXiv:0911.3876 [math.DS]AbstractReferencesReviewsResources

Hausdorff Dimension of Cantor Series

G. Iommi, B. Skorulski

Published 2009-11-19Version 1

In 1996 Y. Kifer obtained a variational formula for the Hausdorff dimension of the set of points for which the frequencies of the digits in the Cantor series expansion is given. In this note we present a slightly different approach to this problem that allow us to solve the variational problem of Kifer's formula.

Comments: 7 pages
Categories: math.DS, math.NT
Subjects: 37A45, 11K55, 37H99
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