图有向自保形测度的重分形  

The Multifractals of Graph Directed Self-Conformal Measures

作　　者：郑水草[1] ZHENG Shuicao(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2023年第1期75-82,共8页Journal of Jimei University：Natural Science

基　　金：集美大学教育教学改革项目(C150352)。

摘　　要：讨论图有向自保形集的重分形,得到开集条件下自保形集关于图有向自保形测度的重分形分解公式,推广了无向图自保形重分形。同时,将图有向自保形集在强开集条件的结果减弱成为开集条件。In this paper,the multifractals of self-conformal sets were investigated.Under the open set condition,with respect to the self-conformal measures,the multifractal formalism of these sets were obtained.The results generalized those of undirected graph self-conformal.Meanwhile,it also made the results of the graph directed self-conformal sets in the strong open set condition weaken to the open set condition.

关 键 词：自保形集 自保形测度 开集条件 重分形分解 

分 类 号：O211.6[理学—概率论与数理统计]