The stability of Markov operators on Polish spaces

• Autorzy: Tomasz Szarek
• Języki publikacji: EN

Abstrakty

EN

A sufficient condition for the asymptotic stability of Markov operators acting on measures defined on Polish spaces is presented.

Słowa kluczowe

EN

asymptotic stability; Markov operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 143
• Numer: 2
• Strony: 145-152

Daty

wydano

2000

otrzymano

1999-12-20

poprawiono

2000-04-06

Twórcy

autor

Tomasz Szarek

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

Bibliografia

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• [2] P. Billingsley, Convergence of Probability Measures, Wiley, New York, 1968.
• [3] R. M. Dudley, Probabilities and Metrics, Aarhus Universitet, 1976.
• [4] S. Ethier and T. Kurtz, Markov Processes, Wiley, 1986.
• [5] R. Fortet et B. Mourier, Convergence de la répartition empirique vers la répartition théorétique, Ann. Sci. École Norm. Sup. 70 (1953), 267-285.
• [6] S. Karlin, Some random walks arising in learning models, Pacific J. Math. 3 (1953), 725-756.
• [7] A. Lasota, From fractals to stochastic differential equations, in: Chaos-the Interplay between Stochastic and Deterministic Behaviour (Karpacz, 1995), Springer, 1995.
• [8] A. Lasota and J. A. Yorke, Lower bound technique for Markov operators and iterated function systems, Random Comput. Dynam. 2 (1994), 41-77.
• [9] T. Szarek, Markov operators acting on Polish spaces, Ann. Polon. Math. 67 (1997), 247-257.