Points génériques de Champernowne sur certains systèmes codes; application aux θ-shifts

DOI10.1017/S0143385700004302zbMath0657.28014MaRDI QIDQ3804980

Anne Bertrand-Mathis

Publication date: 1988

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

dynamical systeminvariant measurestationary measurecodesmaximal measuresofic systemMarkov subshiftsfinite symbol setprefix set of words

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Entropy and other invariants (28D20) Measures of information, entropy (94A17) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Source coding (94A29)

Related Items (10)

Universal \(\beta\)-expansions ⋮ Construction of \(\mu \)-normal sequences ⋮ On \((\epsilon,k)\)-normal words in connecting dynamical systems ⋮ Normal Numbers and Symbolic Dynamics ⋮ Non-normal numbers in dynamical systems fulfilling the specification property ⋮ Zeta function and negative beta-shifts ⋮ On the discrepancy of Markov-normal sequences ⋮ Nombres self normaux ⋮ Dynamics forβ-shifts and Diophantine approximation ⋮ \(\beta\)-expansions and symbolic dynamics

Cites Work

• β-automorphisms are Bernoulli shifts
• On theβ-expansions of real numbers
• The Construction of Decimals Normal in the Scale of Ten

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