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摘要: |
本文研究了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.利用了该类自相似集的gap性质,获得了其所有的迭代函数系.以上结论推广了文献[8]中的主要结果. |
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资助项目(11101148);中央高校基本科研业务费专项资金资助(ECUST222201514321). |
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GENERATING ITERATED FUNCTION SYSTEMS FOR A CLASS OF NON-HOMOGENEOUS SELF-SIMILAR SETS WITH COMPLETE OVERLAP |
PAN Yan,YAO Yuan-yuan
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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 derive all their generating iterated function systems, which improves the main result of[8]. |
Key words: complete overlap self-similar set iterated function system |