| 关于满足弱开集条件的自相似测度的局部维数的注记 |
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| 引用本文： | 陈二才,孙义燧.关于满足弱开集条件的自相似测度的局部维数的注记[J].数学进展,2001,30(3):252-258. |
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| 作者姓名： | 陈二才 孙义燧 |
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| 作者单位： | 1. 南京师范大学数学系
2. 南京大学天文系 |
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| 摘 要： | 对于自相似集合，已知开集条件与强开集条件是等价的，我们讨论了强开集条件的基些性质，并给出了自似测度局部维数研究的一个应用。
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| 关 键 词： | 自相似测度 强开集条件 局部维数 重分形 |
| 修稿时间： | 1998年11月16 |
A Note on the Local Dimension of Self-similar Measure Satisfying the Strong Open Set Condition |
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| Chen Ercai.A Note on the Local Dimension of Self-similar Measure Satisfying the Strong Open Set Condition[J].Advances in Mathematics,2001,30(3):252-258. |
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| Authors: | Chen Ercai |
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| Abstract: | It is well known that the strong open set condition and the open set condition are equivalent for a self-similar set. In this paper we study the property of the strong open set condition. Furthermore, we give an application to local dimension of the self-similar measures. |
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| Keywords: | self-similar measure strong open set condition local dimension multifractal |
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