Hausdorff Dimension of Cantor Series
Dynamical Systems
2009-11-20 v1 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0911.3876,
title = {Hausdorff Dimension of Cantor Series},
author = {G. Iommi and B. Skorulski},
journal= {arXiv preprint arXiv:0911.3876},
year = {2009}
}
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7 pages