A simple proof for the upper bound of a theorem of T. Łuczak

DOI10.4064/cm9352-4-2024MaRDI QIDQ6614510

Lulu Fang, Lei Shang

Publication date: 7 October 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensioncontinued fractionspartial quotients with doubly exponential growth

Mathematics Subject Classification ID

Fractals (28A80) Metric theory (11J83) Hausdorff and packing measures (28A78) Metric theory of continued fractions (11K50)

Cites Work

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• Hausdorff dimension of certain sets arising in continued fraction expansions
• On upper and lower fast Khintchine spectra of continued fractions
• Metric properties of the product of consecutive partial quotients in continued fractions
• On the fractional dimension of sets of continued fractions
• Appendix to the paper by T. Łuczak—A simple proof of the lower

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