| On the Continuity of Julia Sets and Hausdorff Dimension of N CP and Parabolic Maps |
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| 作者姓名： | ZHUANG Wei |
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| 作者单位： | Department of Mathematics and Physics，Beijing Institute of Petrochemical Technology，Beijing 102617，China |
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| 摘 要： | Denote by HD(J(f))the Hansdorff dimension of the Julia set J(f)of a rational function f.Our first result asserts that if f is an NCP map,and f_n→f horocyclically, preserving sub-critical relations,then f_n is an NCP map for all n(?)0 and J(f_n)→J(f)in the Hausdorff topology.We also prove that if f is a parabolic map and f_n is an NCP map for all n(?)0 such that f_n→f horocyclically,then J(f_n)→J(f)in the Hansdorff topology, and HD(J(f_n))→HD(J(f)).
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| 关 键 词： | Julia集 Hausdorff维 Markov划分 共形测度 |
| 文章编号： | 1002-0462（2007）04-0592-05 |
| 收稿时间： | 2004-09-01 |
| 修稿时间： | 2004年9月1日 |
On the Continuity of Julia Sets and Hausdorff Dimension of N CP and Parabolic Maps |
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| ZHUANG Wei.On the Continuity of Julia Sets and Hausdorff Dimension of N CP and Parabolic Maps[J].Chinese Quarterly Journal of Mathematics,2007,22(4):592-596. |
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| Authors: | ZHUANG Wei |
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| Abstract: | |
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| Keywords: | Julia set Hausdorff dimension Markov partition conformal measure |
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