| Whitney集与图递归弧 |
| |
| 引用本文： | 郭秋丽(),奚李峰(). Whitney集与图递归弧[J]. 数学学报, 2007, 50(1): 25-32 |
| |
| 作者姓名： | 郭秋丽() 奚李峰() |
| |
| 作者单位： | 湖北大学数学与计算机学院，浙江万里学院数学研究所 武汉 430062 浙江万里学院数学研究所 宁波 315100，宁波 315100 |
| |
| 基金项目： | 国家自然科学基金资助项目(10301029,10241003,10571063) |
| |
| 摘 要： | 通过构造具有有向图结构的迭代函数系通的子系通,证明了HausdorfF维数大于1的图递归弧均为Whitney集,该结果不需要有向图满足传递条件．
|
| 关 键 词： | 分形 Whitney集 图递归弧 |
| 文章编号： | 0583-1431（2007）01-0025-08 |
| 收稿时间： | 2005-04-11 |
| 修稿时间： | 2005-04-11 |
Whitney Sets and Graph--Direct |
| |
| Qiu Li GUO,Li Feng XI. Whitney Sets and Graph--Direct[J]. Acta Mathematica Sinica, 2007, 50(1): 25-32 |
| |
| Authors: | Qiu Li GUO Li Feng XI |
| |
| Affiliation: | 1.School of Mathematics and Computer Science, Hubei University, Wuhan 430062, P. R. China 2.Institute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang 315100, P. R. China;3.Institute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang 315100, P. R. China |
| |
| Abstract: | By constructing sub-IFS (iterated function system) of IFS with graph-directed structure, it is proved in this paper that the graph-directed arcs of Hausdorff dimension greater than 1 are Whitney sets; the result dones't need the transitivity condition on directed graph. |
| |
| Keywords: | fractal Whitney set graph-directed arcs |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
|
