Dimensions of certain sets of continued fractions with non-decreasing partial quotients

DOI10.1007/s11139-022-00629-6OpenAlexW4297311461MaRDI QIDQ2696314

Yanyan Li

Publication date: 11 April 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12974

zbMATH Keywords

Hausdorff dimensiongrowth ratecontinued fractionsnon-decreasing partial quotients

Mathematics Subject Classification ID

Fractals (28A80) Metric theory of continued fractions (11K50)

Cites Work

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• Hausdorff dimension of certain sets arising in continued fraction expansions
• Large and moderate deviation principles for Engel continued fractions
• Some exceptional sets of Borel-Bernstein theorem in continued fractions
• Multifractal analysis of the convergence exponent in continued fractions
• On the fractional dimension of sets 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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