| Uniform perfectness of the attractor of bi-Lipschitz IFS |
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| 作者姓名： | RUAN Huojun SUN Yeshun & YIN Yongcheng |
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| 作者单位： | RUAN Huojun，SUN Yeshun & YIN Yongcheng Department of Mathematics，Zhejiang University，Hangzhou 310027，China |
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| 摘 要： | In this paper, we prove that the attractor of C1,a bi-Lipschitz IFS in R is uniformly perfect if it is not a singleton. Then we construct an example to show that this does not hold for C1 bi-Lipschitz IFS in Rn.
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| 收稿时间： | 25 June 2004 |
| 修稿时间： | 17 November 2005 |
Uniform perfectness of the attractor of bi-Lipschitz IFS |
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| RUAN Huojun,SUN Yeshun & YIN Yongcheng.Uniform perfectness of the attractor of bi-Lipschitz IFS[J].Science in China(Mathematics),2006,49(4):433-438. |
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| Authors: | RUAN Huojun SUN Yeshun YIN Yongcheng |
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| Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | In this paper, we prove that the attractor of C1,a bi-Lipschitz IFS in R is uniformly perfect if it is not a singleton. Then we construct an example to show that this does not hold for C1 bi-Lipschitz IFS in Rn. |
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| Keywords: | uniform perfectness iterated function systems |
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