Markov operators acting on Polish spaces

• Autorzy: Tomasz Szarek
• Języki publikacji: EN

Abstrakty

EN

We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.

Słowa kluczowe

EN

Markov operators; iterated function systems

Kategorie tematyczne

• 60J20: Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)
• 60J05: Discrete-time Markov processes on general state spaces
• 26A18: Iteration
• 39B12: Iteration theory, iterative and composite equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 67
• Numer: 3
• Strony: 247-257

Daty

wydano

1997

otrzymano

1996-03-11

poprawiono

1996-11-20

poprawiono

1997-02-24

Twórcy

autor

Tomasz Szarek

• Institute of Mathematics, Polish Academy of Sciences, Staromiejska 8/6, 40-013 Katowice, Poland

Bibliografia

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• [3] P. Billingsley, Convergence of Probability Measures, Wiley, New York, 1968.
• [4] R. M. Dudley, Probabilities and Metrics, Aarhus Universitet, 1976.
• [5] A. Lasota, From fractals to stochastic differential equations, to appear.
• [6] A. Lasota and J. A. Yorke, Lower bound technique for Markov operators and iterated function systems, Random Comput. Dynam. 2 (1994), 41-77.
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• [8] K. Parthasarathy, Probability Measures on Metric Spaces, Academic Press, New York, 1967.
• [9] T. Szarek, Iterated function systems depending on previous transformations, to appear.