Normal sequences for Markov shifts and intrinsically ergodic subshifts

DOI10.1007/BF02787263zbMath0643.10041MaRDI QIDQ1101484

Benjamin Weiss, Meir Smorodinsky

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

measure of maximal entropynormal numbernormal sequencesChampernowne's constructionergodic subshiftsfinite state Markov processes

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (6)

On linear normal lattices configurations ⋮ Construction of \(\mu \)-normal sequences ⋮ The normality of digits in almost constant additive functions ⋮ On the discrepancy of Markov-normal sequences ⋮ On polynomially normal lattice configurations ⋮ Introducing Minkowski normality

Cites Work

• Unnamed Item
• A construction of a normal number for the continued fraction transformation
• Ergodic theory, entropy
• The Construction of Decimals Normal in the Scale of Ten
• \(\beta\)-shifts have unique maximal measure

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