- Tytuł:
- Ergodic properties of skew products withfibre maps of Lasota-Yorke type
- Autorzy:
- Kowalski, Zbigniew
- Powiązania:
- https://bibliotekanauki.pl/articles/1340595.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Frobenius-Perron operator
invariant measure
motion of cogged bits - Opis:
- 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.
- Źródło:
-
Applicationes Mathematicae; 1993-1995, 22, 2; 155-163
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł