| 一类广义Cantor集的Hausdorff维数 |
| |
| 引用本文： | 戴振祥.一类广义Cantor集的Hausdorff维数[J].浙江师范大学学报(自然科学版),2001,24(2):143-145. |
| |
| 作者姓名： | 戴振祥 |
| |
| 作者单位： | 宁波教育学院, |
| |
| 摘 要： | 研究和推广了自相似分形中最经典的例子Cantor三分集的构造及其Hausdorff维数，利用满足开集条件的压缩自相似映射的性质，解决了一类广义Cantor集的Hausdorff维数计算问题，主要结果是构造了一类广义的Cantor-2k 1(k∈N)分集，并给出它们的维数s=ln(k 1)/ln(1/ε）。
|
| 关 键 词： | 广义Cantor集 Hausdorff维数 自相似映射 自相似分形 Cantor三分集 广义Cantor－2k＋1分集 |
| 文章编号： | 1001-5051-(2001)02-0143-03 |
| 修稿时间： | 2000年10月20 |
Hausdorff dimension of
generalized Cantor sets |
| |
| DAI Zhen-xiang.Hausdorff dimension of
generalized Cantor sets[J].Journal of Zhejiang Normal University Natural Sciences,2001,24(2):143-145. |
| |
| Authors: | DAI Zhen-xiang |
| |
| Abstract: | It was introduced the construction of generalized Cantor set which was a classical case in self-similar fractal and then its Hausdorff dimension was discussed,in order to work out the Hausdorff dimension of this type of generalized Cantor set,the quality of contraction self-similar mapping that met the open set conditions was involved. It was also discussed construction of the generalized Contor-2k+1(k∈N) fractal sets and their dimensions. |
| |
| Keywords: | |
| 本文献已被 维普 万方数据 等数据库收录！ |
