Extremely non-normal continued fractions

DOI10.4064/aa108-2-8zbMath1051.11043OpenAlexW1978204206MaRDI QIDQ4484419

L. Olsen

Publication date: 12 June 2003

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa108-2-8

zbMATH Keywords

Hausdorff dimensioncontinued fractionspacking dimensionBaire categorydivergence points

Mathematics Subject Classification ID

Fractals (28A80) Continued fractions; complex-analytic aspects (30B70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Metric theory of continued fractions (11K50)

Related Items (8)

A typical number is extremely non-normal ⋮ On singularity and fine spectral structure of random continued fractions ⋮ Abundance of wild historic behavior ⋮ Non-normal numbers with respect to Markov partitions ⋮ Average frequencies of digits in infinite IFS's and applications to continued fractions and Lüroth expansions ⋮ Baire category and the relative growth rate for partial quotients in continued fractions ⋮ Normal Numbers and Symbolic Dynamics ⋮ Non-normal numbers in dynamical systems fulfilling the specification property

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