Maximal run-length function for real numbers in beta-dynamical system
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Publication:5112379
DOI10.1088/1361-6544/ab7727zbMath1446.11148OpenAlexW3016661678MaRDI QIDQ5112379
Publication date: 29 May 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ab7727
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Radix representation; digital problems (11A63)
Related Items (2)
Maximal run-length function with constraints: a generalization of the Erdős-Rényi limit theorem and the exceptional sets ⋮ RUN-LENGTH FUNCTION FOR REAL NUMBERS IN β-EXPANSIONS
Cites Work
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- On consecutive 0 digits in the \(\beta\)-expansion of 1
- 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
- Diophantine analysis in beta-dynamical systems and Hausdorff dimensions
- Egoroff's theorem and maximal run length
- \(\beta\)-expansions and symbolic dynamics
- The fractional dimensions of intersections of the Besicovitch sets and the Erdős-Rényi sets
- Digit frequencies of beta-expansions
- Diophantine approximation of the orbit of 1 in the dynamical system of beta expansions
- Some metrical theorems in number theory
- 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
- Symbolic dynamics for $\beta$-shifts and self-normal numbers
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