一类递归集的Hausdorff维数  

HAUSDORFF DIMENSION IN A SORT OF RECURRENT SETS

作　　者：李大红[1] 

机构地区：[1]广东工业大学数理系

出　　处：《广东机械学院学报》1996年第2期76-82,共7页Industrial Engineering Journal

基　　金：广东工业大学学校自选资助

摘　　要：对由自相似压缩映射生成的递归集，引入了一种网测度α（Ｅ），证明了它与Ｈａｕｓｄｏｒｆｆ测度最多在一点上不相等．由此给出了这类递归集的Ｈａｕｓｄｏｒｆｆ维数。简化了部分分形集维数的计算，并以例子说明．In this paper,a kind of net-measure for recurrent sets formed by similar compression mappings is introduced,at that most one point not to be equate between it and Hausdorff measure is proved,Hausdorff dimension of the recurrent sets is put forward from this. dimension calculation of some fractal sets is simplified,and it is explained by examples.

关 键 词：H-维数 网测度 基本集 鞅 

分 类 号：O189.12[理学—数学]