Dimension theory of Lüroth digits

DOI10.1007/s10474-023-01344-4OpenAlexW4382024097MaRDI QIDQ6111797

Qing-Long Zhou, Yan Feng

Publication date: 4 August 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-023-01344-4

zbMATH Keywords

Diophantine approximationHausdorff dimensionLüroth expansion

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Fractals (28A80)

Cites Work

• On the fast Khintchine spectrum in continued fractions
• On approximation by Lüroth series
• Frequency of digits in the Lüroth expansion
• Representations of real numbers by infinite series
• Approximation properties of Lüroth expansions
• The growth speed for the product of consecutive digits in Lüroth expansions
• The relative growth rate for partial quotients in continued fractions
• The efficiency of approximating real numbers by Lüroth expansion
• The fractional dimensional theory in Lüroth expansion
• Ergodic properties of generalized Lüroth series
• Hausdorff dimension of sets of numbers with large L\"uroth elements
• Dimension theory of the product of partial quotients in Lüroth expansions
• EXACT DIMENSIONS OF EXCEPTIONAL SETS IN LÜROTH EXPANSIONS
• Big Birkhoff sums in $d$-decaying Gauss like iterated function systems
• Sets of Dirichlet non-improvable numbers with certain order in the theory of continued fractions ^*
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