The limit functions of a random iteration system |
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| Authors: | Ji Zhou Mao-Kang Luo |
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| Institution: | a Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
b Department of Mathematics, Sichuan University, Chengdu 610064, China |
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| Abstract: | This paper discusses the limit functions of a random iteration system formed by finitely many rational functions. Applying these results we prove that a hyperbolic iteration system has no wandering domain and that its limit functions are constant. Finally the continuity on its Julia set is considered. |
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| Keywords: | Fatou sets Julia sets Normal family |
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