METRIC THEORY OF PARTIAL QUOTIENTS OF N-CONTINUED FRACTIONS

DOI10.1142/S0218348X22500220zbMath1489.11111OpenAlexW4213289279MaRDI QIDQ5064327

Yuan Zhang, Jin-Feng Wang

Publication date: 15 March 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500220

zbMATH Keywords

Hausdorff dimensionBorel-Bernstein theorem\(N\)-continued fractions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)

Cites Work

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• Ergodicity of \(N\)-continued fraction expansions
• Hausdorff dimension of certain sets arising in continued fraction expansions
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• On the distribution for sums of partial quotients in continued fraction expansions
• The distribution of the largest digit in continued fraction expansions
• 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
• Hausdorff dimension of certain sets arising in Engel expansions
• Metric properties of N-continued fractions
• A two-dimensional Gauss--Kuzmin theorem for $N$-continued fraction expansions
• ON THE LARGEST PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS
• The shrinking target problem in the dynamical system of continued fractions
• A PROBLEM IN THE FRACTIONAL DIMENSION THEORY OF CONTINUED FRACTIONS

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