摘要
修正了由Falconer所定义的上自相似集,然后通过构造,证明了上自相似集和自相似集并不相互唯一确定;存在非自相似的上自相似集,其Hausdorff维数与Box维数不相等.
In the paper, the authors modified the definition of super self-similar set by Falconer, and then by constructions, they proved that the super self-similar set and selfsimilar set can＇t be determined by one another and that there exists a super self-similar sets which isn＇t self-similar such that its Hausdorff dimension isn＇t equal to its Box dimension.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
2008年第4期500-503,517,共5页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金项目(10771082).
