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| GEOMETRY AND DIMENSION OF SELF-SIMILAR SET |
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Citation： |
YIN Yongcheng,JIANG Haiyi,SUN Yeshun.GEOMETRY AND DIMENSION OF SELF-SIMILAR SET[J].Chinese Annals of Mathematics B,2003,24(1):57~64 |
| Page view： 1198
Net amount： 624 |
Authors： |
YIN Yongcheng; JIANG Haiyi;SUN Yeshun |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10171090, No.10231040). |
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| Abstract： |
The authors show that the self-similar set for
a finite family of contractive similitudes (similarities, i.e.,
$|f_i(x)-f_i(y)|=a_i|x-y|$, $x,y\in {\bold R}^N$, where $0 |
Keywords： |
Self-similar set, Uniformly perfect set, Hausdorff dimension |
Classification： |
28A80, 37C45 |
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