ON SOME EXCEPTIONAL SETS IN ENGEL EXPANSIONS AND HAUSDORFF DIMENSIONS

DOI10.1142/S0218348X20501406zbMath1495.11094MaRDI QIDQ5085444

Jia Liu

Publication date: 27 June 2022

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

exceptional setHausdorff dimensionEngel expansions

Mathematics Subject Classification ID

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

Related Items (2)

On the exponent of convergence of the digit sequence of Engel series ⋮ THE RELATIVE CONVERGENCE SPEED FOR ENGEL EXPANSIONS AND HAUSDORFF DIMENSION

Cites Work

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• Upper and lower fast Khintchine spectra in continued fractions
• 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
• Some exceptional sets of Borel-Bernstein theorem in continued fractions
• Hausdorff dimensions 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
• SLOW GROWTH RATE OF THE DIGITS IN ENGEL EXPANSIONS

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