Attractors of multifunetions

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

Abstrakty

EN

We introduce the notion of a semiattractor and attractor for multifunctions and we show that they have properties similar to semifractals and fractals. Further we show a relationship between the multifunctions and transition functions appearing in the theory of Markov operators.

Słowa kluczowe

PL

fraktal; miara niezmiennicza; multifunkcja; operator Markowa; semifraktal; układ funkcji iterowanej

EN

attractors; fractals; invariant measures; iterated function systems; Markov operators; multifunctions; semifractals

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 3
• Strony: 319--334
• Opis fizyczny: Bibliogr. 9 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.

• Dipartimento di Matematica Pura Applicata, Universita di L'aquila, Via Vetoio, 67100 L'aquila, Ital

Bibliografia

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• [6] A. Lasota, J. Myjak, Semifractals, Bull. Pol. Ac.: Math., 44 (1996) 5-21.
• [7] A. Lasota, J. Myjak, Markov operators and fractals, Bull. Pol. Ac.: Math.. 45 (1997) 197-210.
• [8] E. Michael, Continuous selections I, Ann. of Math., 63 (1956) 361-382.
• [9] Yu. V. Prohorov, Convergence of random processes and limit theorems in probability theory, Theory Probab. Appl., 1 (1956) 157-214.