Cantor集的余维数与上盒维数及其关系OA北大核心CSTPCD
The relationship between Cantor set of codimension and its upper box dimension
讨论了齐次Cantor集和偏齐次Cantor集的上盒维数及余维数之间的关系,得到了齐次Cantor集和偏齐次Cantor集具有上盒维数和余维数相等的特性.
In this paper, the authors discuss the relationship between the upper box dimension and co-dimension on homogeneous Cantor sets and partial homogeneous Cantor sets. They get that both homogeneous Cantor sets and partial homogeneous Cantor sets have a property that their upper box dimension and co-dimension are equivalent.
王小燕;吴兴
华中师范大学数学与统计学学院,武汉430079华中师范大学数学与统计学学院,武汉430079
数理科学
齐次Cantor集偏齐次Cantor集上盒维数余维数
homogeneous Cantor sets partial homogeneous Cantor sets upper box dimension co-dimension
《华中师范大学学报（自然科学版）》 2012 (2)
分形上平方可积函数空间指数型基的研究
134-136,3
国家自然科学基金项目(10771082).
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