A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION IN BETA-DYNAMICAL SYSTEM
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Publication:5175055
DOI10.1017/S0004972714000677zbMath1322.11084MaRDI QIDQ5175055
Publication date: 19 February 2015
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Hausdorff dimensionLebesgue measurebeta-expansioninhomogeneous Diophantine approximationbeta-dynamical system
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Inhomogeneous linear forms (11J20)
Related Items (9)
SHRINKING TARGET PROBLEM FOR RANDOM IFS ⋮ TWO-DIMENSIONAL SHRINKING TARGET PROBLEM IN BETA-DYNAMICAL SYSTEMS ⋮ ON THE LONGEST BLOCK FUNCTION IN CONTINUED FRACTIONS ⋮ A Survey on the Dimension Theory in Dynamical Diophantine Approximation ⋮ The -transformation with a hole at 0 ⋮ Doubling metric Diophantine approximation in the dynamical system of continued fractions ⋮ A DICHOTOMY LAW FOR THE DIOPHANTINE PROPERTIES IN ‐DYNAMICAL SYSTEMS ⋮ Shrinking targets in parametrised families ⋮ Inhomogeneous and simultaneous Diophantine approximation in beta dynamical systems
Cites Work
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- A Metrical Theorem in Diophantine Approximation
- On theβ-expansions of real numbers
- Symbolic dynamics for $\beta$-shifts and self-normal numbers
- Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
- Dyadic Diophantine approximation and Katok's horseshoe approximation
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