Cyclic extensions of odometer transformations and spectral disjointness

DOI10.1007/BF02779666zbMath0639.28010MaRDI QIDQ1100302

Teturo Kamae

Publication date: 1987

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

zbMATH Keywords

dynamical systemnormal numberscyclic extensionscontinuous spectral measuresmultiplicatively independent basesodometer transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (1)

Prime numbers in two bases

Cites Work

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• On normal numbers
• Sur la singularité des produits de Riesz et des mesures spectrales associées à la somme des chiffres
• Sum of digits to different bases and mutual singularity of their spectral measures
• Riesz Products and Normal Numbers
• Sur la mesure spectrale de certaines suites arithmétiques
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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