Hausdorff dimension of sets with restricted, slowly growing partial quotients

DOI10.1090/proc/15579zbMath1527.11062arXiv2111.02694MaRDI QIDQ6106032

Hiroki Takahasi

Publication date: 27 June 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.02694

zbMATH Keywords

Hausdorff dimensioncontinued fractionspartial quotients

Mathematics Subject Classification ID

Continued fractions (11A55) Metric theory of continued fractions (11K50) Relations between ergodic theory and number theory (37A44)

Cites Work

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• The arithmetic-geometric scaling spectrum for continued fractions
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• The growth speed of digits in infinite iterated function systems
• HAUSDORFF DIMENSION OF SETS OF CONTINUED FRACTIONS
• On Khintchine exponents and Lyapunov exponents of continued fractions
• A problem of Good on Hausdorff dimension
• On the fractional dimension of sets of continued fractions
• Appendix to the paper by T. Łuczak—A simple proof of the lower
• Increasing digit subsystems of infinite iterated function systems
• A problem of Hirst on continued fractions with sequences of partial quotients
• A PROBLEM IN THE FRACTIONAL DIMENSION THEORY OF CONTINUED FRACTIONS
• Continued fractions with sequences of partial quotients

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