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曾凡平,席鸿建.符号动力系统中同构于Almeida-Ramos树的另一个树[J].广西科学,2000,7(1):9-13. [点击复制]
- Zeng Fanping,Xi Hongjian.Another Tree in Symbolic Dynamics Being Isomorphic to Almeida-Ramos' Tree[J].Guangxi Sciences,2000,7(1):9-13. [点击复制]
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| 符号动力系统中同构于Almeida-Ramos树的另一个树 |
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曾凡平, 席鸿建
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| (广西大学数学研究所, 南宁市西乡塘路10号 530004) |
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| 摘要: |
| 运用纯组合学方法构造了0-1序列的一个树T,证明了T同构于Almeida-Ramos树.此外,还研究了T的自相似性及T中元素的特征值. |
| 关键词: 符号动力系统 树的同构 自相似性 特征值 |
| DOI： |
| 投稿时间：1999-09-27 |
| 基金项目:Supported by both the Natural Science Fund of Guangxi(9811022) and Foundation of Colleges of Guangxi. |
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| Another Tree in Symbolic Dynamics Being Isomorphic to Almeida-Ramos' Tree |
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Zeng Fanping, Xi Hongjian
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| (Institute of Math., Guangxi Univ., 10 Xixiangtanglu, Nanning, Guangxi, 530004, China) |
| Abstract: |
| On the basis of the pure combinatorial procedure a tree of 0-1 sequences is constructed,which is shown to be isomorphic to the tree constructed by Almeida-Ramos.Also self-similiarity and eigenvalues of elememts in such a tree are studied. |
| Key words: symbolic dynamical systems isomorphism of trees self-similarity eigenvalue |
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