Hausdorff dimension of certain sets arising by the maximal run-length function over factorial language (Q6539278)
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scientific article; zbMATH DE number 7848678
| Language | Label | Description | Also known as |
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| English | Hausdorff dimension of certain sets arising by the maximal run-length function over factorial language |
scientific article; zbMATH DE number 7848678 |
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Hausdorff dimension of certain sets arising by the maximal run-length function over factorial language (English)
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14 May 2024
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The authors consider the maximal run-length function of dyadic expansions of real numbers in \([0,1)\) over factorial languages. The Hausdorff dimension of the exceptional set to the (generalized) Erdős-Renyi theorem is determined. In addition, the Hausdorff dimension of sets of numbers whose maximal run-length functions have different growth rates is given. This continues the line of research in [\textit{Y.-F. Wu}, Monatsh. Math. 203, No. 2, 509--521 (2024; Zbl 1547.11088)].
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run-length function
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Hausdorff dimension
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factorial language
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