### Ergodic theory and connections with analysis and probability.

Jones, Roger L. (1997)

The New York Journal of Mathematics [electronic only]

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Jones, Roger L. (1997)

The New York Journal of Mathematics [electronic only]

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Idris Assani, Zoltán Buczolich, Daniel R. Mauldin (2004)

Acta Universitatis Carolinae. Mathematica et Physica

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Dalibor Volný (1987)

Commentationes Mathematicae Universitatis Carolinae

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Burgess Davis (1982)

Studia Mathematica

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Kakihara, Yûichirô (2003)

International Journal of Mathematics and Mathematical Sciences

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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.

Thomas Bogenschütz, Zbigniew Kowalski (1996)

Studia Mathematica

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We give an elementary proof for the uniqueness of absolutely continuous invariant measures for expanding random dynamical systems and study their mixing properties.

Ryotaro Sato (1983)

Studia Mathematica

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