图有向自相似测度的重分形  

The Multifractal of Graph Directed Self-similar Measures

作　　者：郑水草[1] 

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）》2010年第1期57-61,共5页Journal of Jimei University：Natural Science

基　　金：集美大学科研基金资助项目(C60638)

摘　　要：研究了图有向自相似集,在开集条件下,获得了该集合关于伴随的自相似测度的重分形分解公式.该结果将Edgar和Mauldin的相应结果所必需的条件——正分离条件做了本质上的修正,使其减弱为开集条件.The graph directed serf-similar sets were investigated under the open set condition. Specially, the muhifractal decompositions with respect to the associated graph directed serf-similar measures were formulated. The results were the generalization of those of Edgar and Mauldin, in which the totally disconnected condition was replaced by the open set condition.

关 键 词：自相似集 开集条件 重分形分解 

分 类 号：O211.6[理学—概率论与数理统计]