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ON INTERIOR POINTS OF THE JULIA SET J(R) FOR RANDOM DYNAMICAL SYSTEM R
作者姓名:Gong Zhimin  Ren Fuyao
摘    要:ONINTERIORPOINTSOFTHEJULIASETJ(R)FORRANDOMDYNAMICALSYSTEMR**GONGZHIMIN*RENGUYAO*AbstractManuscriptreceivedNovember29,1994.*In...

关 键 词:JULIA集  随机迭代  动力系统  内部点
收稿时间:1994/11/29 0:00:00

ON INTERIOR POINTS OF THE JULIA SET J(R) FOR RANDOM DYNAMICAL SYSTEM R
Gong Zhimin,Ren Fuyao.ON INTERIOR POINTS OF THE JULIA SET J(R) FOR RANDOM DYNAMICAL SYSTEM R[J].Chinese Annals of Mathematics,Series B,1997,18(4):503-512.
Authors:Gong Zhimin and Ren Fuyao
Institution:GONG ZHIMIN *\ REN GUYAO *
Abstract:The authors consider the random iteration of serval functions. Denote by $ J(R) $ the Julia set for the random iteration dynamical system formed by a set of complex functions $R=\{R_1,R_2,\cdots,R_M\} $. Some sufficient conditions are given for $J(R)$ to have no interior points. Also some conditions are given for $J(R) $ to have interior points but fail to be the extended plane. In addition, $ J(az^n, bz^n)\ ( n\geq 2, ab\neq 0 ) $ and $ J(z^2+c_1, z^2+ c_2) $ are investigated and some interesting results are obtained.
Keywords:Random iteration  Dynamical system  Julia set
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