平面上广义Mc Mullen集的Hausdorff维数  

Hausdorff Dimension of the Generalized Mc Mullen Sets on the Plane

作　　者：朱莉红[1] 陈绍明[1] 龙伦海[1] 

机构地区：[1]海南大学信息科学技术学院,海南海口570228

出　　处：《海南大学学报（自然科学版）》2012年第4期320-324,共5页Natural Science Journal of Hainan University

摘　　要：研究了平面上Mc Mullen集的推广形式,并得到了此类自仿射集的Hausdorff维数和Box维数的计算公式.作为其应用进一步讨论了Mc Mullen集的变形,相应地得到了此类自仿射集的Hausdorff维数和Box维数的计算公式.In our report, the extend form of Mc Mullen sets on the plane was analyzed, and the Hausdorff dimension and Box dimension were obtained. As its application, the accordingly Hausdorff dimension and Box dimension of the modified Mc Mullen sets were discussed, and the calculation formulas of its Hausdorff dimension and Box dimension were obtained

关 键 词：HAUSDORFF维数 BOX维数 表示系统 自仿射集 

分 类 号：O174.12[理学—数学]