Remark on a mean ergodic theorem
R. Jajte (1968)
Annales Polonici Mathematici
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Displaying similar documents to “Mixtures of invariant non-ergodic probabilities”
Remark on a mean ergodic theorem
An ergodic theorem without invariant measure
R. Sato (1990)
Colloquium Mathematicae
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On non-ergodic versions of limit theorems
Dalibor Volný (1989)
Aplikace matematiky
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The author investigates non ergodic versions of several well known limit theorems for strictly stationary processes. In some cases, the assumptions which are given with respect to general invariant measure, guarantee the validity of the theorem with respect to ergodic components of the measure. In other cases, the limit theorem can fail for all ergodic components, while for the original invariant measure it holds.
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.
A nonergodic version of Gordin's CLT for integrable stationary processes
Dalibor Volný (1987)
Commentationes Mathematicae Universitatis Carolinae
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Ergodic elements of ergodic actions
Charles Pugh, Michael Shub (1971)
Compositio Mathematica
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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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Genericity of nonsingular transformations with infinite ergodic index
J. Choksi, M. Nadkarni (2000)
Colloquium Mathematicae
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It is shown that in the group of invertible measurable nonsingular transformations on a Lebesgue probability space, endowed with the coarse topology, the transformations with infinite ergodic index are generic; they actually form a dense set. (A transformation has infinite ergodic index if all its finite Cartesian powers are ergodic.) This answers a question asked by C. Silva. A similar result was proved by U. Sachdeva in 1971, for the group of transformations preserving an infinite...