Ergodic properties of skew products withfibre maps of Lasota-Yorke type

• Autorzy: Zbigniew S. Kowalski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Frobenius-Perron operator; invariant measure; motion of cogged bits

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1993-1995
• Tom: 22
• Numer: 2
• Strony: 155-163

Daty

wydano

1994

otrzymano

1992-10-12

Twórcy

autor

Zbigniew S. Kowalski

• Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Bibliografia

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