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 generalized skew product”
On Certain Transformations Of Sets Of Positive Measure
Certain transformations and Lebesgue measurable sets of positive measure
Mukul Pal, Mrityunjoy Nath (1999)
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Negative nonsingular transformations
Christoph Kopf (1982)
Annales de l'I.H.P. Probabilités et statistiques
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Stationary perturbations based on Bernoulli processes
Zbigniew Kowalski (1990)
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On sets of positive measure under certain transformations
A. K. Mookhopadhyaya (1964)
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Partition sensitivity for measurable maps
C. A. Morales (2013)
Mathematica Bohemica
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We study countable partitions for measurable maps on measure spaces such that, for every point , the set of points with the same itinerary as that of is negligible. We prove in nonatomic probability spaces that every strong generator (Parry, W., Aperiodic transformations and generators, J. London Math. Soc. 43 (1968), 191–194) satisfies this property (but not conversely). In addition, measurable maps carrying partitions with this property are aperiodic and their corresponding spaces...
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....