RUN-LENGTH FUNCTION FOR REAL NUMBERS IN β-EXPANSIONS

DOI10.1142/S0218348X22500335zbMath1492.11120OpenAlexW4212915786MaRDI QIDQ5864115

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Publication date: 3 June 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500335

zbMATH Keywords

Hausdorff dimensionbeta-expansionrun-length function

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Radix representation; digital problems (11A63)

Cites Work

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• Beta-expansion and continued fraction expansion
• On a new law of large numbers
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• Hausdorff dimension of the maximal run-length in dyadic expansion
• On the lengths of basic intervals in beta expansions
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Symbolic dynamics for $\beta$-shifts and self-normal numbers
• A result on the maximal length of consecutive 0 digits in β-expansions
• Maximal run-length function for real numbers in beta-dynamical system
• THE EXCEPTIONAL SETS ON THE RUN-LENGTH FUNCTION OF β-EXPANSIONS

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