Characterizing mildly mixing actions by orbit equivalence of products.
Hawkins, Jane, Silva Cesar, E. (1998)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “Orbit coupling”
Characterizing mildly mixing actions by orbit equivalence of products.
On measure theoretical analogues of the Takesaki structure theorem for type III factors
Alexandre Danilenko, Toshihiro Hamachi (2000)
Colloquium Mathematicae
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The orbit equivalence of type ergodic equivalence relations is considered. We show that it is equivalent to the outer conjugacy problem for the natural trace-scaling action of a countable dense ℝ-subgroup by automorphisms of the Radon-Nikodym skew product extensions of these relations. A similar result holds for the weak equivalence of arbitrary type cocycles with values in Abelian groups.
Mixtures of invariant non-ergodic probabilities
Rao, M.B. (1978)
Portugaliae mathematica
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Vítor Araújo (2000)
Annales de l'I.H.P. Analyse non linéaire
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Martin H. Ellis, J. Michael Steele (1979)
Annales de l'I.H.P. Probabilités et statistiques
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Orbit equivalence rigidity.
Furman, Alex (1999)
Annals of Mathematics. Second Series
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Exchangeable measures for subshifts
J. Aaronson, H. Nakada, O. Sarig (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Finitary orbit equivalence and measured Bratteli diagrams
T. Hamachi, M. S. Keane, M. K. Roychowdhury (2008)
Colloquium Mathematicae
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We prove a strengthened version of Dye's theorem on orbit equivalence, showing that if the transformation structures are represented as finite coordinate change equivalence relations of ergodic measured Bratteli diagrams, then there is a finitary orbit equivalence between these diagrams.