Semifractals on Polish spaces

• Autorzy: Lasota, A. , Myjak, J.
• Języki publikacji: EN

Abstrakty

EN

We extend the theory of semifractals to arbitrary metric spaces. We also show kow to construct semifractals on Polish spaces by a use of Markov operators and Markov chain.

Słowa kluczowe

PL

fraktal; funkcja rzeczywista; miara niezmiennicza; proces Markowa z dyskretnym parametrem; przestrzeń metryczna; układ funkcji iterowanej

EN

attractors; fractals; invariant measures; iterated function systems; semifractals

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 2
• Strony: 179--196
• Opis fizyczny: Bibliogr. 10 poz.,

Twórcy

autor

Lasota, A.

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
• Institute of Mathematics, Polish Academy of Sciences, Staromiejska 8/6, 40-013 Katowice, Poland

autor

Myjak, J.

• Dipartamento di Matematica Pura et Applicata, Uniwersita di L`Aquila, Via Vetio, 67100, L`Aquila, Italy

Bibliografia

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• [6] A. Lasota, J. Myjak, Markov operators and fractals, Bull. Pol. Ас.: Math., 45 (1997) 197-210.
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• [9] D. Revuz, Markov Chains, North-Ноllаnd, Amsterdam 1975.
• [10] Т. Szarek, Markov operators acting on Polish spaces, Ann, Polon. Math., 67 (1997) 247-257.