An application of the Kantorovich-Rubinstein maximum principle in the stability theory of Markov operators

• Autorzy: Gacki, H.
• Języki publikacji: EN

Abstrakty

EN

We consider the asymptotic behaviour of Markov operators acting on measures, defined on a locally are [sigma]-compact metric space. We prove a new sufficient condition for the asymptotic stability of Markov operators. This condition is applied to stochastically peturbed dynamical systems, and iterated function system.

Słowa kluczowe

PL

miara niezmiennicza; operator Markowa; układ funkcji iterowanej

EN

invariant measure; iterated function systems; Markov operators

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 2
• Strony: 215--223
• Opis fizyczny: Bibliogr. 11 poz.,

Twórcy

autor

Gacki, H.

• Institut of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Bibliografia

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