Finite \(A_2\)-continued fractions in the problems of rational approximations of real numbers
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Publication:6147992
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
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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