HAUSDORFF DIMENSION FOR THE SET OF POINTS CONNECTED WITH THE GENERALIZED JARNÍK–BESICOVITCH SET
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Publication:5029328
DOI10.1017/S1446788720000464zbMath1498.11166arXiv1911.12550OpenAlexW3112080649MaRDI QIDQ5029328
Publication date: 14 February 2022
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.12550
Continued fractions and generalizations (11J70) Metric theory (11J83) Hausdorff and packing measures (28A78) Metric theory of continued fractions (11K50)
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Cites Work
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- A localized Jarník-Besicovitch theorem
- Hausdorff dimension of certain sets arising in continued fraction expansions
- Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
- Metric properties of the product of consecutive partial quotients in continued fractions
- A generalization of the Jarník–Besicovitch theorem by continued fractions
- HAUSDORFF MEASURE OF SETS OF DIRICHLET NON‐IMPROVABLE NUMBERS
- Conformal iterated function systems with applications to the geometry of continued fractions
- A zero-one law for improvements to Dirichlet’s Theorem
- Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
- Dimensions and Measures in Infinite Iterated Function Systems
- An inhomogeneous Dirichlet theorem via shrinking targets
- Hausdorff dimension of an exceptional set in the theory of continued fractions
- The sets of Dirichlet non-improvable numbers versus well-approximable numbers
- Metric Diophantine Approximation—From Continued Fractions to Fractals
- The shrinking target problem in the dynamical system of continued fractions
