Any two irrational rotations are nearly continuously Kakutani equivalent

DOI10.1007/s11854-010-0009-0zbMath1192.37008OpenAlexW2077466768MaRDI QIDQ977302

Daniel J. Rudolph, Andrew Dykstra

Publication date: 21 June 2010

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-010-0009-0

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (4)

Informal research statement ⋮ Self-induced systems ⋮ The Morse minimal system is nearly continuously Kakutani equivalent to the binary odometer ⋮ Nearly continuous even Kakutani equivalence of nearly continuously rank-one transformations

Cites Work

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• Irrational rotation of the circle and the binary odometer are finitarily orbit equivalent
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• Any two irreducible Markov chains are finitarily orbit equivalent
• On Groups of Measure Preserving Transformations. I
• The finitary isomorphism theorem for Markov shifts
• Equivalence of measure preserving transformations
• Finitary orbit equivalence and measured Bratteli diagrams
• The Morse minimal system is finitarily Kakutani equivalent to the binary odometer
• FINITARY ORBIT EQUIVALENCE OF ODOMETERS

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