Generic properties of learning systems

• Autorzy: Tomasz Szarek
• Języki publikacji: EN

Abstrakty

EN

It is shown that the set of learning systems having a singular stationary distribution is generic in the family of all systems satisfying the average contractivity condition.

Słowa kluczowe

EN

iterated function systems; Markov operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 73
• Numer: 2
• Strony: 93-103

Daty

wydano

2000

otrzymano

1998-06-15

poprawiono

1999-03-24

poprawiono

1999-08-12

Twórcy

autor

Tomasz Szarek

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

Bibliografia

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• [4] A. Iwanik, Approximation theorem for stochastic operators, Indiana Univ. Math. J. 29 (1980), 415-425.
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• [6] A. Lasota and J. Myjak, Generic properties of fractal measures, Bull. Polish Acad. Sci. Math. 42 (1994), 283-296.
• [7] A. Lasota and J. A. Yorke, Lower bound technique for Markov operators and iterated function systems, Random Comput. Dynam. 2 (1994), 41-77.
• [8] T. Szarek, Generic properties of continuous iterated function systems, Bull. Polish Acad. Sci. Math. 47 (1997), 77-89.
• [9] T. Szarek, Iterated function systems depending on a previous transformation, Univ. Iagel. Acta Math. 33 (1996), 161-172.
• [10] T. Szarek, Markov operators acting on Polish spaces, Ann. Polon. Math. 67 (1997), 247-257.