The return time theorem fails on infinite measure-preserving systems
Michael T. Lacey (1997)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “A class of generalized Ornstein transformations with the weak mixing property”
The return time theorem fails on infinite measure-preserving systems
A new class of Ornstein transformations with singular spectrum
E. H. El Abdalaoui, F. Parreau, A. A. Prikhod'ko (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Ergodic theory for inner functions of the upper half plane
Jon Aaronson (1978)
Annales de l'I.H.P. Probabilités et statistiques
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Ergodic properties of skew products with Lasota-Yorke type maps in the base
Zbigniew Kowalski (1993)
Studia Mathematica
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We consider skew products preserving a measure which is absolutely continuous with respect to the product measure. Here f is a 1-sided Markov shift with a finite set of states or a Lasota-Yorke type transformation and , i = 1,..., max e, are nonsingular transformations of some probability space. We obtain the description of the set of eigenfunctions of the Frobenius-Perron operator for T and consequently we get the conditions ensuring the ergodicity, weak mixing and exactness of T....
On the individual ergodic theorem for subsequences
Ryotaro Sato (1973)
Studia Mathematica
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Remarks on the tightness of cocycles
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.
Weights for ergodic square functions
F. J. Martin-Reyes (1986)
Annales de l'I.H.P. Probabilités et statistiques
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