Ergodic properties of skew products withfibre maps of Lasota-Yorke type
Kowalski, Zbigniew
Applicationes Mathematicae, Tome 22 (1994), p. 155-163 / Harvested from The Polish Digital Mathematics Library
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We consider the skew product transformation T(x,y)= (f(x), Te(x)) where f is an endomorphism of a Lebesgue space (X,A,p), e : X → S and Tss∈S is a family of Lasota-Yorke type maps of the unit interval into itself. We obtain conditions under which the ergodic properties of f imply the same properties for T. Consequently, we get the asymptotical stability of random perturbations of a single Lasota-Yorke type map. We apply this to some probabilistic model of the motion of cogged bits in the rotary drilling of hard rock with high rotational speed.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:219088 
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     title = {Ergodic properties of skew products withfibre maps of Lasota-Yorke type},
     journal = {Applicationes Mathematicae},
     volume = {22},
     year = {1994},
     pages = {155-163},
     zbl = {0807.28010},
     language = {en},
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Kowalski, Zbigniew. Ergodic properties of skew products withfibre maps of Lasota-Yorke type. Applicationes Mathematicae, Tome 22 (1994) pp. 155-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv22z2p155bwm/

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