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Normality and finite-state dimension of Liouville numbers

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Publication:285510
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DOI10.1007/s00224-014-9554-8zbMath1345.68183arXiv1204.4104OpenAlexW2024776286WikidataQ114230789 ScholiaQ114230789MaRDI QIDQ285510

Satyadev Nandakumar, Santhosh Kumar Vangapelli

Publication date: 19 May 2016

Published in: Theory of Computing Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4104

zbMATH Keywords

normal numbersfinite-state dimensionLiouville numbersradix expansion


Mathematics Subject Classification ID

Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)


Related Items

Liouville, computable, Borel normal and Martin-Löf random numbers, A computable absolutely normal Liouville number



Cites Work

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  • Liouville numbers and normal numbers
  • Entropy rates and finite-state dimension
  • General constructions of normal numbers of Korobov type
  • The Kolmogorov complexity of real numbers.
  • Finite-state dimension
  • Endliche Automaten und Zufallsfolgen
  • Compression of individual sequences via variable-rate coding
  • The Construction of Decimals Normal in the Scale of Ten
  • A computable absolutely normal Liouville number
  • Normal Recurring Decimals
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