Finite \(A_2\)-continued fractions in the problems of rational approximations of real numbers

DOI10.1007/S11253-023-02241-3OpenAlexW4388509295MaRDI QIDQ6147992

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Publication date: 11 January 2024

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-023-02241-3

zbMATH Keywords

continued fractions\(A_2\)-continued fractions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory of continued fractions (11K50)

Cites Work

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• Inversor of digits \(Q^\ast_2\)-representative of numbers
• Fractal functions of exponential type that is generated by the \(Q_2^*\)-representation of argument
• Continuous distributions whose functions preserve tails of an \(A\)-continued fraction representation of numbers
• Continued \(A_2\)-fractions and singular functions
• A 2-continued fraction representation of real numbers and its geometry
• Properties of the distribution of the random variable defined by A 2-continued fraction with independent elements
• On singularity and fine spectral structure of random continued fractions
• Singularity of distributions of random variables given by distributions of elements of the corresponding continued fraction

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