Run-length function of the Bolyai-Rényi expansion of real numbers.

DOI10.21136/CMJ.2023.0351-23MaRDI QIDQ6584420

Rao Li, Fan Lü, Li Zhou

Publication date: 7 August 2024

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionBolyai-Rényi expansionLebesgue measurerun-length function

Mathematics Subject Classification ID

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

Cites Work

• Egoroff's theorem and maximal run length
• Some metrical theorems in number theory
• On a new law of large numbers
• On the maximal length of consecutive zero digits of \(\beta\)-expansions
• Fractal geometry. Mathematical foundations and applications
• Hausdorff dimension of the maximal run-length in dyadic expansion
• Representations for real numbers and their ergodic properties
• On the maximal run-length function in the Lüroth expansion
• ON THE LONGEST BLOCK FUNCTION IN CONTINUED FRACTIONS
• Ergodic properties of the Bolyai-Rényi expansion

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