一类压缩比非一致且具完全重叠结构自相似集的迭代函数系  

GENERATING ITERATED FUNCTION SYSTEMS FOR A CLASS OF NON-HOMOGENEOUS SELF-SIMILAR SETS WITH COMPLETE OVERLAP

作　　者：潘俨 姚媛媛[2] PAN Yan;YAO Yuan-yuan(School of Economics&Management,Shanghai Maritime University,Shanghai 201306,China;School of Science,East China University of Science and Technology,Shanghai 200237,China)

机构地区：[1]上海海事大学经济管理学院,上海201306 [2]华东理工大学理学院,上海200237

出　　处：《数学杂志》2018年第6期1054-1056,共3页Journal of Mathematics

基　　金：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(ECUST 222201514321)

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.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].

关 键 词：完全重叠 自相似集 迭代函数系 

分 类 号：O174.12[理学—数学]