[1]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.
ZHENG Shui-cao.The Multifractal of Graph Directed Self-similar Measures[J].Journal of Jimei University,2010,15(1):57-61.
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图有向自相似测度的重分形(PDF)
ZHENG Shui-cao.The Multifractal of Graph Directed Self-similar Measures[J].Journal of Jimei University,2010,15(1):57-61.
《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
- 第15卷
- 期数:
- 2010年第1期
- 页码:
- 57-61
- 栏目:
- 数理科学与信息工程
- 出版日期:
- 2010-01-25
文章信息/Info
- Title:
- The Multifractal of Graph Directed Self-similar Measures
- 作者:
- 郑水草
- (集美大学理学院,福建 厦门 361021)
- Author(s):
- ZHENG Shui-cao
- (School of Sciences,Jimei University,Xiamen 361021,China)
- 分类号:
- -
- DOI:
- -
- 文献标志码:
- -
- 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
- 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
参考文献/References:
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相似文献/References:
[1]郑水草.图有向自保形测度的重分形[J].集美大学学报(自然科学版),2023,28(1):75.
ZHENG Shuicao.The Multifractals of Graph Directed Self-Conformal Measures[J].Journal of Jimei University,2023,28(1):75.
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更新日期/Last Update:
2014-06-28