On the growth behavior of partial quotients in continued fractions

DOI10.1007/s00013-022-01821-2OpenAlexW4315647190MaRDI QIDQ2697452

Yanyan Li

Publication date: 12 April 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01821-2

zbMATH Keywords

Hausdorff dimensioncontinued fractionsBaire classificationpartial quotients

Mathematics Subject Classification ID

Fractals (28A80) Metric theory (11J83) Hausdorff and packing measures (28A78) Metric theory of continued fractions (11K50) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (1)

Baire category and the relative growth rate for partial quotients in continued fractions

Cites Work

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• Hausdorff dimension of certain sets arising in continued fraction expansions
• On the exponent of convergence of the digit sequence of Engel series
• Some exceptional sets of Borel-Bernstein theorem in continued fractions
• On upper and lower fast Khintchine spectra of continued fractions
• Multifractal analysis of the convergence exponent in continued fractions
• On Khintchine exponents and Lyapunov exponents of continued fractions
• Big Birkhoff sums in $d$-decaying Gauss like iterated function systems
• Increasing digit subsystems of infinite iterated function systems

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