On \((\epsilon,k)\)-normal words in connecting dynamical systems

DOI10.1007/BF01517354zbMath0648.10032OpenAlexW2002345066MaRDI QIDQ1104969

Bodo Volkmann, Anne Bertrand-Mathis

Publication date: 1989

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178426

zbMATH Keywords

entropylanguageinfinite wordssymbolic dynamical systemsfinite alphabetPisot numberdigit expansionCopeland-Erdős theorem

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Well-distributed sequences and other variations (11K36)

Related Items (6)

Construction of \(\mu \)-normal sequences ⋮ Normality in Pisot numeration systems ⋮ Normal Numbers and Symbolic Dynamics ⋮ Non-normal numbers in dynamical systems fulfilling the specification property ⋮ Generic sequences, transducers and multiplication of normal numbers ⋮ Introducing Minkowski normality

Cites Work

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• Systèmes codés. (Coded systems)
• Ergodic theory on compact spaces
• The asymptotic distribution of the numerals in the decimal representation of the squares of the natural numbers
• Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
• Points génériques de Champernowne sur certains systèmes codes; application aux θ-shifts
• The Construction of Decimals Normal in the Scale of Ten
• Note on normal numbers

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