| 自相似集之间的等变映射 |
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| 引用本文： | 张增喜.自相似集之间的等变映射[J].数学的实践与认识,2004,34(9):127-129. |
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| 作者姓名： | 张增喜 |
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| 作者单位： | 首都师范大学数学系,北京,100037 |
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| 基金项目： | 国家自然科学基金资助项目 (1 0 3 71 0 79) |
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| 摘 要： | 定义了复射动力系统以及它们之间等变映射的概念 ,在此基础上又引出了自相似集之间等变映射的概念并讨论了在此类映射的映射下自相似集象的 Hausdorff维数的状态 .
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| 关 键 词： | 自相似集 复射动力系统 等变映射 Hausdorff维数 |
| 修稿时间： | 1999年7月15日 |
The Equivalent Maps Between Two Self-Similar Sets |
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| ZHANG Zeng-xi.The Equivalent Maps Between Two Self-Similar Sets[J].Mathematics in Practice and Theory,2004,34(9):127-129. |
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| Authors: | ZHANG Zeng-xi |
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| Abstract: | We define the concepts of multimap-systems and the equivalent maps between the kind of systems, go a step further, we introduce the concept of equivalent maps between two self-similar sets and discuss the states of Hausdorff dimensions of imagines of self-similar sets under mapping of this kind of maps. |
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| Keywords: | self-similar set multimap-system equivalent map Hausdorff dimension |
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