Convergence of the -series for stationary sequences.

Assani, I.

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Ergodic theory and connections with analysis and probability.

Jones, Roger L. (1997)

The New York Journal of Mathematics [electronic only]

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Counting and convergence in ergodic theory

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

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A nonergodic version of Gordin's CLT for integrable stationary processes

Dalibor Volný (1987)

Commentationes Mathematicae Universitatis Carolinae

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On the integrability of the ergodic maximal function

Burgess Davis (1982)

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Ergodicity and extremality of AMS sources and channels.

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On non-ergodic versions of limit theorems

Dalibor Volný (1989)

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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.

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Ergodicity and extremality of AMS sources and channels.

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