APPROXIMATION PROPERTIES OF THE ORBITS UNDER β-TRANSFORMATION
From MaRDI portal
Publication:4961168
DOI10.1142/S0218348X19500488zbMath1433.37044OpenAlexW2915191055MaRDI QIDQ4961168
Publication date: 22 April 2020
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x19500488
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Diophantine analysis in beta-dynamical systems and Hausdorff dimensions
- \(\beta\)-expansions and symbolic dynamics
- A result on the approximation properties of the orbit of 1 under the \(\beta\)-transformation
- Diophantine approximation of the orbit of 1 in the dynamical system of beta expansions
- Beta-expansion and continued fraction expansion
- Some metrical theorems in number theory
- Irregular sets, the $𝛽$-transformation and the almost specification property
- On the lengths of basic intervals in beta expansions
- Dimension of countable intersections of some sets arising in expansions in non-integer bases
- Finite 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
- Dynamics forβ-shifts and Diophantine approximation
- \(\beta\)-shifts have unique maximal measure
This page was built for publication: APPROXIMATION PROPERTIES OF THE ORBITS UNDER β-TRANSFORMATION