Geodesic
Ergodic properties of skew products withfibre maps of Lasota-Yorke type
Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 155-163 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We consider the skew product transformation T(x,y)= (f(x), $T_{e(x)}$) where f is an endomorphism of a Lebesgue space (X,A,p), e : X → S and ${T_s}_{s \in S}$ 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.
DOI : 10.4064/am-22-2-155-163
Keywords: Frobenius-Perron operator, invariant measure, motion of cogged bits

Zbigniew Kowalski 1

1 
@article{10_4064_am_22_2_155_163,
     author = {Zbigniew Kowalski},
     title = {Ergodic properties of skew products withfibre maps of {Lasota-Yorke} type},
     journal = {Applicationes Mathematicae},
     pages = {155--163},
     year = {1993},
     volume = {22},
     number = {2},
     doi = {10.4064/am-22-2-155-163},
     zbl = {0807.28010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-155-163/}
}
TY  - JOUR
AU  - Zbigniew Kowalski
TI  - Ergodic properties of skew products withfibre maps of Lasota-Yorke type
JO  - Applicationes Mathematicae
PY  - 1993
SP  - 155
EP  - 163
VL  - 22
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-155-163/
DO  - 10.4064/am-22-2-155-163
LA  - en
ID  - 10_4064_am_22_2_155_163
ER  - 
%0 Journal Article
%A Zbigniew Kowalski
%T Ergodic properties of skew products withfibre maps of Lasota-Yorke type
%J Applicationes Mathematicae
%D 1993
%P 155-163
%V 22
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-155-163/
%R 10.4064/am-22-2-155-163
%G en
%F 10_4064_am_22_2_155_163
Zbigniew Kowalski. Ergodic properties of skew products withfibre maps of Lasota-Yorke type. Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 155-163. doi: 10.4064/am-22-2-155-163

Cité par Sources :