Metric Diophantine Approximation—From Continued Fractions to Fractals

DOI10.1007/978-3-319-48817-2_2zbMath1416.11129OpenAlexW2565706587MaRDI QIDQ5272913

Simon Kristensen

Publication date: 5 July 2017

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-48817-2_2

zbMATH Keywords

dynamical systemsDiophantine approximationHausdorff dimensioncontinued fractionsergodic theoryLebesgue measure

Mathematics Subject Classification ID

Fractals (28A80) Metric theory (11J83) Metric theory of continued fractions (11K50)

Related Items (3)

Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism ⋮ The sets of Dirichlet non-improvable numbers versus well-approximable numbers ⋮ HAUSDORFF DIMENSION FOR THE SET OF POINTS CONNECTED WITH THE GENERALIZED JARNÍK–BESICOVITCH SET

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