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摘要: |
本文给出一类压缩比非一致且具完全重叠结构自相似集的所有迭代函数系. 该结论推广了关于压缩比一致且具完全重叠结构一类自相似集的的主要结果(文献\cite{YL})且证明巧妙利用了该类自相似集的 gap 性质, 十分简洁. |
关键词: 完全重叠 自相似集 迭代函数系 |
DOI: |
分类号:O174.12 |
基金项目:国家自然科学基金青年基金11101148; 中央高校基本科研业务费专项资金222201514321 |
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Generating iterated function systems for a class of non-homogeneous self-similar sets with complete overlap |
Pan Yan,Yao yuanyuan
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Abstract: |
This paper investigates all the generating iterated function systems for a class of non-homogeneous self-similar set with complete overlap. By using some gap properties of these self-similar sets, we improve the main result of Yao Yuan-Yuan and Li Wen-Xia [Publicationes Mathematicae-Debrecen, 2015, 87(1-2): 23-33]. Besides, our proof is more concise. |
Key words: Complete overlap self-similar set iterated function system |