Computing the dimension of dynamically defined sets: \(E_2\) and bounded continued fractions (Q2757012)
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scientific article; zbMATH DE number 1675670
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing the dimension of dynamically defined sets: \(E_2\) and bounded continued fractions |
scientific article; zbMATH DE number 1675670 |
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24 August 2002
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Hausdorff dimension
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conformal self-similar sets
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Computing the dimension of dynamically defined sets: \(E_2\) and bounded continued fractions (English)
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The authors present an approach to the computation of the Hausdorff dimension of certain conformal self-similar sets. They illustrate the method by computing the Hausdorff dimension of \(E_2\), a set which consists of those real numbers whose continued fraction expansions contain only the digits 1 and 2.
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