| 弱分离条件下的自共形迭代函数系统 |
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| 引用本文： | 武志容,叶远灵.弱分离条件下的自共形迭代函数系统[J].数学学报,2011(6):881-892. |
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| 作者姓名： | 武志容 叶远灵 |
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| 作者单位： | 华南师范大学数学科学学院; |
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| 摘 要： | 开集条件是分形几何的一个重要概念,弱分离条件(WSC)在研究有重叠的迭代函数系统(IFS)中扮演着重要角色.本文考虑满足弱分离条件的自共形迭代函数系统,并给出确定其不变集的Hausdorff维数的一种方式.
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| 关 键 词： | 自共形迭代函数系统 开集条件 弱分离条件 Hausdorff维数 |
Self-Conformal IFS with the WSC |
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| Zhi Rong WU Yuan Ling YE School of Mathematical Sciences,South China Normal University,Guangzhou ,P.R.China.Self-Conformal IFS with the WSC[J].Acta Mathematica Sinica,2011(6):881-892. |
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| Authors: | Zhi Rong WU Yuan Ling YE School of Mathematical Sciences South China Normal University Guangzhou PRChina |
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| Institution: | Zhi Rong WU Yuan Ling YE School of Mathematical Sciences,South China Normal University,Guangzhou 510631,P.R.China |
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| Abstract: | The open set condition is an important concept in fractal geometry.And, the weak separation condition(WSC) plays an important role in the study of,iterated function systems(IFS) with overlaps.In this paper,we consider self-conformal IFS satisfying the WSC,and we present a way to determine the Hausdorff dimension of the invariant set relevant. |
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| Keywords: | self-conformal IFS open set condition weak separation condition Hausdorff dimension |
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