Random Ergodic Theorem with weighted averages
نویسندگان
چکیده
منابع مشابه
Convergence of weighted polynomial multiple ergodic averages
In this article we study weighted polynomial multiple ergodic averages. A sequence of weights is called universally good if any polynomial multiple ergodic average with this sequence of weights converges in L. We find a necessary condition and show that for any bounded measurable function φ on an ergodic system, the sequence φ(Tnx) is universally good for almost every x. The linear case was cov...
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ژورنال
عنوان ژورنال: Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete
سال: 1975
ISSN: 0044-3719,1432-2064
DOI: 10.1007/bf00539441