一推广Cantor集在相似压缩不动点处的上凸密度  

The Upper Convex Density of a Generalized Cantor Set at the Contracting-similarity Fixed Point

作　　者：刘静[1] 孙善辉[1] 

机构地区：[1]宿州学院应用数学系,安徽宿州234000

出　　处：《淮北煤炭师范学院学报（自然科学版）》2010年第3期10-13,共4页Journal of Huaibei Coal Industry Teachers College(Natural Science edition)

基　　金：宿州学院自然科学科研项目(2009yzk27);宿州学院自然科学研究项目(2009yzk26)

摘　　要：在分形几何的研究中,上凸密度提供了的研究自相似分形结构理论和工具.文章利用自相似集在相似压缩不动点处的上凸密度的两个等价定义,探讨一推广Cantor集在其相似压缩不动点处的上凸密度,所得结果对一个相关重要猜测给予了有力支持.In the study of fractal geometryt,he upper convex density offers the theory and the implement to study the structure of the self-similar fractals for us.In this papert,he upper convex density at a contracting-similarity fixed point of the generalized Cantor set has been studied by using two equivalent definitions.As a resultt,he main result obtained in this papers,upport an important conjecture.

关 键 词：自相似集 相似压缩不动点 上凸密度 

分 类 号：O189.1[理学—数学]