The convergence exponent and the well approximated sets for Lüroth expansion

DOI10.1016/J.JMAA.2024.128217MaRDI QIDQ6150660

Zhen-Liang Zhang, Xiao-yan Tan, Xu Liao

Publication date: 6 March 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionLüroth expansionconvergent exponent

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Hausdorff and packing measures (28A78)

Cites Work

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• Representations of real numbers by infinite series
• Approximation properties of Lüroth expansions
• The growth speed for the product of consecutive digits in Lüroth expansions
• Chaotic sets and Hausdorff dimension for Lüroth expansions
• Multifractal analysis of the convergence exponent in continued fractions
• The relative growth rate for the digits in Lüroth expansions
• The efficiency of approximating real numbers by Lüroth expansion
• The fractional dimensional theory in Lüroth expansion
• Dimension theory of the product of partial quotients in Lüroth expansions
• Big Birkhoff sums in $d$-decaying Gauss like iterated function systems
• THE GROWTH RATE OF THE DIGITS IN THE LÜROTH EXPANSIONS
• Relative convergence speed of Lüroth expansions and Hausdorff dimension
• Irrationality exponent and convergence exponent in continued fraction expansions

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