Trees with non-regular fractal boundary
文献类型：期刊论文
| 作者 | Yu, Jing Hu1; Ding, Yi Ming2 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2008-08-01 |
| 卷号 | 24期号:8页码:1345-1350 |
| 关键词 | tree boundary fractal dimensions non-regularity recursive structures |
| 英文摘要 | For any given 0 < alpha < beta < infinity, we construct a tree such that under tree metric. the Hausdorff dimension of the corresponding boundary is alpha, but both the Packing dimension and the boxing dimension are beta. Applying the connection between tree and iterated functions system, non-regular fractal sets on real line are constructed. Moreover, the method adopted in our paper is different from those which have been used before for constructing non-regular fractal set in general metric space. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SELF-SIMILAR SETS ; VARYING ENVIRONMENTS ; HAUSDORFF DIMENSION |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000258534300010 |
| 公开日期 | 2015-10-13 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8074]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yu, Jing Hu,Ding, Yi Ming. Trees with non-regular fractal boundary[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2008,24(8):1345-1350. |
| APA | Yu, Jing Hu,&Ding, Yi Ming.(2008).Trees with non-regular fractal boundary.ACTA MATHEMATICA SINICA-ENGLISH SERIES,24(8),1345-1350. |
| MLA | Yu, Jing Hu,et al."Trees with non-regular fractal boundary".ACTA MATHEMATICA SINICA-ENGLISH SERIES 24.8(2008):1345-1350. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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