自相似集之间的等变映射  

The Equivalent Maps Between Two Self-Similar Sets

作　　者：张增喜[1] 

机构地区：[1]首都师范大学数学系,北京100037

出　　处：《数学的实践与认识》2004年第9期127-129,共3页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目 (1 0 3 71 0 79)

摘　　要：定义了复射动力系统以及它们之间等变映射的概念 ,在此基础上又引出了自相似集之间等变映射的概念并讨论了在此类映射的映射下自相似集象的 Hausdorff维数的状态 .We define the concepts of multimap-systems and the equivalent maps between the kind of systems, go a step further, we introduce the concept of equivalent maps between two self-similar sets and discuss the states of Hausdorff dimensions of imagines of self-similar sets under mapping of this kind of maps.

关 键 词：自相似集 映射 HAUSDORFF维数 状态 动力系统 概念 定义 基础 

分 类 号：O19[理学—数学]