| 图有向自相似测度的重分形 |
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| 引用本文： | 郑水草.图有向自相似测度的重分形[J].集美大学学报(自然科学版),2010,15(1):57-61. |
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| 作者姓名： | 郑水草 |
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| 作者单位： | 集美大学理学院,福建,厦门,361021 |
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| 基金项目： | 集美大学科研基金资助项目(C60638) |
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| 摘 要： | 研究了图有向自相似集,在开集条件下,获得了该集合关于伴随的自相似测度的重分形分解公式.该结果将Edgar和Mauldin的相应结果所必需的条件——正分离条件做了本质上的修正,使其减弱为开集条件.
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| 关 键 词： | 自相似集 开集条件 重分形分解 |
The Multifractal of Graph Directed Self-similar Measures |
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| ZHENG Shui-cao.The Multifractal of Graph Directed Self-similar Measures[J].the Editorial Board of Jimei University(Natural Science),2010,15(1):57-61. |
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| Authors: | ZHENG Shui-cao |
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| Institution: | School of Sciences;Jimei University;Xiamen 361021;China |
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| Abstract: | The graph directed self-similar sets were investigated under the open set condition.Specially,the multifractal decompositions with respect to the associated graph directed self-similar measures were formulated.The results were the generalization of those of Edgar and Mauldin,in which the totally disconnected condition was replaced by the open set condition. |
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| Keywords: | self-similar set open set condition multifractal decoposition |
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