scientific article; zbMATH DE number 7800548

arXiv2202.11212MaRDI QIDQ6150043

Ayreena Bakhtawar, Mumtaz Hussain, Bao-Wei Wang, Dmitry Kleinbock

Publication date: 6 February 2024

Full work available at URL: https://arxiv.org/abs/2202.11212

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Diophantine approximationHausdorff dimensioncontinued fraction expansionLebesgue measurepartial quotients

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Fractals (28A80) Metric theory (11J83) Hausdorff and packing measures (28A78) Metric theory of continued fractions (11K50)

Cites Work

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• 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
• Some metrical theorems in number theory
• HAUSDORFF MEASURE OF SETS OF DIRICHLET NON‐IMPROVABLE NUMBERS
• A problem of Good on Hausdorff dimension
• Conformal iterated function systems with applications to the geometry of continued fractions
• On the fractional dimension of sets of continued fractions
• Appendix to the paper by T. Łuczak—A simple proof of the lower
• A zero-one law for improvements to Dirichlet’s Theorem
• Dimensions and Measures in Infinite Iterated Function Systems
• HAUSDORFF DIMENSION FOR THE SET OF POINTS CONNECTED WITH THE GENERALIZED JARNÍK–BESICOVITCH SET
• The shrinking target problem in the dynamical system of continued fractions
• A PROBLEM IN THE FRACTIONAL DIMENSION THEORY OF CONTINUED FRACTIONS
• The generalised Hausdorff measure of sets of Dirichlet non-improvable numbers

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