THE RELATIVE CONVERGENCE SPEED FOR ENGEL EXPANSIONS AND HAUSDORFF DIMENSION

DOI10.1142/S0218348X21501061zbMath1483.11164OpenAlexW3125119569MaRDI QIDQ5023978

Xiao-yan Tan, Zhen-Liang Zhang

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21501061

zbMATH Keywords

Hausdorff dimensionrelative growth rateEngel expansion

Mathematics Subject Classification ID

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

Cites Work

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• Representations of real numbers by infinite series
• How many points have the same Engel and Sylvester expansions?
• Hausdorff dimensions of some exceptional sets in Engel expansions
• Hausdorff dimensions in Engel expansions
• A further discussion of the Hausdorff dimension in Engel expansions
• Some exceptional sets in Engel expansions
• A problem of Galambos on Engel expansions
• Hausdorff dimension of certain sets arising in Engel expansions
• ON SOME EXCEPTIONAL SETS IN ENGEL EXPANSIONS AND HAUSDORFF DIMENSIONS
• A dimensional result in continued fractions
• On the speed of convergence of the Oppenheim series

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