Ergodic properties of skew products with Lasota-Yorke type maps in the base
Kowalski, Zbigniew
Studia Mathematica, Tome 104 (1993), p. 45-57 / Harvested from The Polish Digital Mathematics Library
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We consider skew products T(x,y)=(f(x),Te(x)y) 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 Ti, 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. We apply these results to random perturbations.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:216002 
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     title = {Ergodic properties of skew products with Lasota-Yorke type maps in the base},
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     year = {1993},
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     zbl = {0815.28013},
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Kowalski, Zbigniew. Ergodic properties of skew products with Lasota-Yorke type maps in the base. Studia Mathematica, Tome 104 (1993) pp. 45-57. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv106i1p45bwm/

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