Weights for ergodic square functions
F. J. Martin-Reyes (1986)
Annales de l'I.H.P. Probabilités et statistiques
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F. J. Martin-Reyes (1986)
Annales de l'I.H.P. Probabilités et statistiques
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Jon Aaronson, Benjamin Weiss (2000)
Colloquium Mathematicae
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We prove a generalised tightness theorem for cocycles over an ergodic probability preserving transformation with values in Polish topological groups. We also show that subsequence tightness of cocycles over a mixing probability preserving transformation implies tightness. An example shows that this latter result may fail for cocycles over a mildly mixing probability preserving transformation.
Emmanuel Lesigne, Dalibor Volný (2000)
Colloquium Mathematicae
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Let (Ω,A,μ,T) be a measure preserving dynamical system. The speed of convergence in probability in the ergodic theorem for a generic function on Ω is arbitrarily slow.
Ryotaro Sato (1987)
Studia Mathematica
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I. Assani (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Ryotaro Sato (1988)
Studia Mathematica
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I. Assani (2000)
Annales de l'I.H.P. Probabilités et statistiques
Similarity: