The rank of regular morse dynamical systems

DOI10.1007/BF00532236zbMath0549.28026OpenAlexW2334304695MaRDI QIDQ3342816

Mariusz Lemanczyk

Publication date: 1985

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00532236

zbMATH Keywords

simple spectrumKakutani sequencenonperiodic substitutionregular Morse sequenceregular Morse shifts

Mathematics Subject Classification ID

Ergodic theory (37A99) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (5)

A class of not local rank one automorphisms arising from continuous substitutions ⋮ Substitutions and Möbius disjointness ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• All generalized Morse-sequences are loosely Bernoulli
• Isomorphism of regular Morse dynamical systems
• Transformations With Discrete Spectrum are Stacking Transformations
• A Transformation with Simple Spectrum which is not Rank One
• The spectrum of dynamical systems arising from substitutions of constant length
• Equivalence of measure preserving transformations
• Generalized Morse sequences
• A Class of Ergodic Transformations Having Simple Spectrum

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