On the exceptional sets in Erdös–Rényi limit theorem of β-expansion
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Publication:3177693
DOI10.1142/S1793042118501142zbMath1401.11118OpenAlexW2795158296MaRDI QIDQ3177693
Jia Liu, Mei-Ying Lü, Zhen-Liang Zhang
Publication date: 1 August 2018
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042118501142
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Radix representation; digital problems (11A63)
Related Items (3)
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Cites Work
- Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions
- On exceptional sets in Erdős-Rényi limit theorem revisited
- On exceptional sets in Erdős-Rényi limit theorem
- Egoroff's theorem and maximal run length
- Representations of real numbers by infinite series
- Hausdorff dimension of some sets arising by the run-length function of \(\beta\)-expansions
- On a new law of large numbers
- On the maximal length of consecutive zero digits of β-expansions
- 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
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