Finitary orbit equivalence and measured Bratteli diagrams
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Publication:5440183
DOI10.4064/cm110-2-4zbMath1172.37004OpenAlexW2005335225MaRDI QIDQ5440183
Toshihiro Hamachi, Mrinal Kanti Roychowdhury, Michael S. Keane
Publication date: 1 February 2008
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm110-2-4
Topological dynamics (37B99) General groups of measure-preserving transformations (28D15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15)
Related Items (10)
Dye's theorem in the almost continuous category ⋮ Any two irreducible Markov chains are finitarily orbit equivalent ⋮ The Morse minimal system is nearly continuously Kakutani equivalent to the binary odometer ⋮ Almost continuous orbit equivalence for non-singular homeomorphisms ⋮ Comparability of clopen sets in a zero-dimensional dynamical system ⋮ Irrational rotation of the circle and the binary odometer are finitarily orbit equivalent ⋮ Any two irreducible Markov chains of equal entropy are finitarily Kakutani equivalent ⋮ Invariant measures for the subshifts arising from non-primitive substitutions ⋮ Universally measure-preserving homeomorphisms of Cantor minimal systems ⋮ Any two irrational rotations are nearly continuously Kakutani equivalent
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