Approximation orders of the unit in the \(\beta\)-dynamical systems

DOI10.1007/S10474-017-0776-5zbMath1413.11092OpenAlexW2771177459MaRDI QIDQ1705195

Yuan-Hong Chen, Chun-Yun Cao

Publication date: 14 March 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0776-5

zbMATH Keywords

Hausdorff dimensionapproximation order\(\beta\)-dynamical system

Mathematics Subject Classification ID

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

Related Items (1)

APPROXIMATION ORDERS OF A REAL NUMBER IN A FAMILY OF BETA-DYNAMICAL SYSTEMS

Cites Work

• Quantitative recurrence properties for beta-dynamical system
• Diophantine analysis in beta-dynamical systems and Hausdorff dimensions
• \(\beta\)-expansions and symbolic dynamics
• Diophantine approximation of the orbit of 1 in the dynamical system of 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
• Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
• Dyadic Diophantine approximation and Katok's horseshoe approximation

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