|本期目录/Table of Contents|

[1]郑水草.图有向自保形测度的重分形[J].集美大学学报(自然科学版),2023,28(1):75-82.
　ZHENG Shuicao.The Multifractals of Graph Directed Self-Conformal Measures[J].Journal of Jimei University,2023,28(1):75-82.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第28卷
期数:
2023年第1期
页码:
75-82
栏目:
数理科学与信息工程
出版日期:
2023-01-28

文章信息/Info

Title:
The Multifractals of Graph Directed Self-Conformal Measures
作者:
郑水草
（集美大学理学院，福建 厦门 361021）
Author(s):
ZHENG Shuicao
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
自保形集; 自保形测度; 开集条件; 重分形分解
Keywords:
self-conformal sets; selfconformal measures; open set condition; multifractal decomposition
分类号:
-
DOI:
-
文献标志码:
A
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。
Abstract:
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.

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更新日期/Last Update: 2023-04-13