THE GROWTH RATE OF THE DIGITS IN THE LÜROTH EXPANSIONS

DOI10.1142/S0218348X20500644zbMath1441.11188OpenAlexW3005979348MaRDI QIDQ5122200

Mei-Ying Lü

Publication date: 22 September 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20500644

zbMATH Keywords

exceptional setHausdorff dimensionLüroth expansion

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items (4)

Exceptional sets related to the largest digits in Lüroth expansions ⋮ The convergence exponent and the well approximated sets for Lüroth expansion ⋮ Relative convergence speed of Lüroth expansions and Hausdorff dimension ⋮ ON THE FAST INCREASING DIGITS IN LÜROTH EXPANSIONS

Cites Work

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• The fractional dimensional theory in Lüroth expansion
• Dimension of Besicovitch–Eggleston sets in countable symbolic space
• On Khintchine exponents and Lyapunov exponents of continued fractions
• Ergodic properties of generalized Lüroth series
• A note on the largest digits in Lüroth expansion
• On the metric theory of the Lüroth expansions of real numbers

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