The vector individual weighted ergodic theorem for bounded Besicovich sequences.

El Berdan, K.

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Two-sided averages for which oscillation fails.

Campbell, James T., Jones, Roger L. (2008)

The New York Journal of Mathematics [electronic only]

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Pointwise asymptotics for the jumps of ergodic averages.

Catuogno, P. J., Ferrando, S. E. (2001)

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Counting and convergence in ergodic theory

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

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Keynes, H.B., Markley, N.G., Sears, M. (1995)

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On the sequence of integer parts of a good sequence for the ergodic theorem

Emmanuel Lesigne (1995)

Commentationes Mathematicae Universitatis Carolinae

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If $(u_{n})$ is a sequence of real numbers which is good for the ergodic theorem, is the sequence of the integer parts $([u_{n}])$ good for the ergodic theorem ? The answer is negative for the mean ergodic theorem and affirmative for the pointwise ergodic theorem.

A weighted ergodic maximal equality for nonsingular semiflows

Lasha Ephremidze, Ryotaro Sato (2005)

Colloquium Mathematicae

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A weighted ergodic maximal equality is proved for a conservative and ergodic semiflow of nonsingular automorphisms.

Ergodic averages with generalized weights

Doğan Çömez, Semyon N. Litvinov (2006)

Studia Mathematica

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Two types of weighted ergodic averages are studied. It is shown that if F = {Fₙ} is an admissible superadditive process relative to a measure preserving transformation, then a Wiener-Wintner type result holds for F. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are...