Irrational Rotations and Quasi-Ergodic Measures
M. Keane (1970-1971)
Publications mathématiques et informatique de Rennes
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Displaying similar documents to “Equivalent-singular dichotomy for quasi-invariant ergodic measures”
Irrational Rotations and Quasi-Ergodic Measures
Exchangeable measures for subshifts
J. Aaronson, H. Nakada, O. Sarig (2006)
Annales de l'I.H.P. Probabilités et statistiques
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On Quasi-Invariant Measures in Uniquely Ergodic Systems.
Wolfgang Krieger (1971)
Inventiones mathematicae
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Mixtures of invariant non-ergodic probabilities
Rao, M.B. (1978)
Portugaliae mathematica
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Unique Ergodicity for Quasi-Invariant Measures.
Klaus Schmidt (1979)
Mathematische Zeitschrift
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Representation form of de Finetti theorem and application to convexity
František Žák (2011)
Acta Universitatis Carolinae. Mathematica et Physica
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Finiteness of Ergodic Unitarily Invariant Measures on Spaces of Infinite Matrices
Alexander I. Bufetov (2014)
Annales de l’institut Fourier
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The main result of this note, Theorem 1.3, is the following: a Borel measure on the space of infinite Hermitian matrices, that is invariant and ergodic under the action of the infinite unitary group and that admits well-defined projections onto the quotient space of “corners" of finite size, must be finite. A similar result, Theorem 1.1, is also established for unitarily invariant measures on the space of all infinite complex matrices. These results imply that the infinite Hua-Pickrell...
Absolutely continuous, invariant measures for dissipative, ergodic transformations
Jon Aaronson, Tom Meyerovitch (2008)
Colloquium Mathematicae
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We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.
On uniqueness of G-measures and g-measures
Ai Fan (1996)
Studia Mathematica
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We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension...