On the topological orbit equivalence in a class of substitution minimal systems

DOI10.3836/tjm/1244208850zbMath1027.37005OpenAlexW1975767177MaRDI QIDQ1812480

Hisatoshi Yuasa

Publication date: 18 January 2004

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

Full work available at URL: https://doi.org/10.3836/tjm/1244208850

zbMATH Keywords

invariantssubstitution systemstopological orbit equivalencePerron-Frobenius eigenvaluesKukatani orbit equivalence

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (2)

Orbit equivalent substitution dynamical systems and complexity ⋮ Homeomorphic measures on stationary Bratteli diagrams

Cites Work

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• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• Substitution dynamical systems - spectral analysis
• \(K\)-groups associated with substitution minimal systems
• Substitutional dynamical systems, Bratteli diagrams and dimension groups
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• An Introduction to Symbolic Dynamics and Coding
• WEAK ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS

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