On Certain Transformations Of Sets Of Positive Measure
M. Pal (1972)
Publications de l'Institut Mathématique
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Displaying similar documents to “A generalization of Steinhaus' theorem to coordinatewise measure preserving binary transformations”
On Certain Transformations Of Sets Of Positive Measure
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The classification problem for measure preserving transformations is strictly more complicated than that of graph isomorphism.
On sets of positive measure under certain transformations
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On v-positive type transformations in infinite measure
Tudor Pădurariu, Cesar E. Silva, Evangelie Zachos (2015)
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For each vector v we define the notion of a v-positive type for infinite-measure-preserving transformations, a refinement of positive type as introduced by Hajian and Kakutani. We prove that a positive type transformation need not be (1,2)-positive type. We study this notion in the context of Markov shifts and multiple recurrence, and give several examples.
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J. D. Emery, P. Szeptycki (1973)
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Finite return times for measure-preserving transformations.
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A large set containing few orbits of measure preserving transformations.
A. Iwanik (1992)
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Poisson suspensions of compactly regenerative transformations
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Colloquium Mathematicae
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For infinite measure preserving transformations with a compact regeneration property we establish a central limit theorem for visits to good sets of finite measure by points from Poissonian ensembles. This extends classical results about (noninteracting) infinite particle systems driven by Markov chains to the realm of systems driven by weakly dependent processes generated by certain measure preserving transformations.
A large set containing few orbits of measure preserving transformations. (Summary).
A. Iwanik (1992)
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Countably piecewise expanding transformations without absolutely continuous invariant measure
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