| Self-similar measures on the Julia sets of polynomials |
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| 引用本文： | ZHOU Ji,QIU Weiyuan,REN Fuyao. Self-similar measures on the Julia sets of polynomials[J]. 自然科学进展(英文版), 2000, 10(4): 266-271 |
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| 作者姓名： | ZHOU Ji QIU Weiyuan REN Fuyao |
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| 作者单位： | Department of Mathematics, Fudan University, Shanghai 200433, China,Department of Mathematics, Fudan University, Shanghai 200433, China,Department of Mathematics, Fudan University, Shanghai 200433, China |
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| 基金项目： | Project supported jointly by the National Natural Science Foundation of China (Grant No. 19771023) and Tianyuan Founda tion of China. |
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| 摘 要： | If the immediate basin of infinity of a polynomial P(z) contains at least one of its critical points, then there is a self-similar measure on its Julia set, and if all the critical points of P(z) lie in the immediate basin of in finity, then the self-similar measure is unique.
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| 关 键 词： | invariant Measure self-similar measure Fatou set Julia set critical point |
Self-similar measures on the Julia sets of polynomials |
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| ZHOU Ji,QIU Weiyuan,Ren Fuyao. Self-similar measures on the Julia sets of polynomials[J]. Progress in Natural Science, 2000, 10(4): 266-271 |
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| Authors: | ZHOU Ji QIU Weiyuan Ren Fuyao |
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| Affiliation: | Department of Mathematics, Fudan University, Shanghai 200433, China,Department of Mathematics, Fudan University, Shanghai 200433, China,Department of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | If the immediate basin of infinity of a polynomial P(z) contains at least one of its critical points, then there is a self-similar measure on its Julia set, and if all the critical points of P(z) lie in the immediate basin of in finity, then the self-similar measure is unique. |
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| Keywords: | invariant Measure self-similar measure Fatou set Julia set critical point |
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