Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We give sufficient conditions for asymptotic stability of a Markov operator governing the evolution of measures due to the action of randomly chosen dynamical systems. We show that the existence of an invariant measure for the transition operator implies the existence of an invariant measure for the semigroup generated by the system.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
31-50
Opis fizyczny
Daty
wydano
1998
otrzymano
1996-05-27
poprawiono
1997-07-08
Twórcy
autor
- Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
Bibliografia
- [1] R. Fortet et B. Mourier, Convergence de la répartition empirique vers la répartition théorétique, Ann. Sci. École Norm. Sup. 70 (1953), 267-285.
- [2] K. Horbacz, Dynamical systems with multiplicative perturbations: The strong convergence of measures, Ann. Polon. Math. 58 (1993), 85-93.
- [3] W. Jarczyk and A. Lasota, Invariant measures for fractals and dynamical systems, to appear.
- [4] A. Lasota, From fractals to stochastic differential equations, to appear.
- [5] A. Lasota and M. C. Mackey, Noise and statistical periodicity, Physica D 28 (1987), 143-154.
- [6] A. Lasota and M. C. Mackey, Why do cells divide?, to appear.
- [7] A. Lasota and M. C. Mackey, Chaos, Fractals and Noise - Stochastic Aspect of Dynamics, Springer, New York, 1994.
- [8] A. Lasota and J. A. Yorke, Lower bound technique for Markov operators and iterated function systems, Random Comput. Dynamics 2 (1994), 41-77.
- [9] T. Szarek, Iterated function systems depending on previous transformation, Univ. Iagell. Acta Math., to appear.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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