| 非相似压缩映射的不变集的维数定理 |
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| 引用本文： | 吴敏. 非相似压缩映射的不变集的维数定理[J]. 湖北大学学报(自然科学版), 1994, 16(3): 248-253 |
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| 作者姓名： | 吴敏 |
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| 摘 要： | 对于非相似压缩映射的不变集，Ｆａｌｃｏｎｅｒ曾在其组成部分是相离的情形下，得到了一个Ｈａｕｓｄｏｒｆｆ维数的下界估计．本文在一定条件下，对其组成部分有弱重迭的情形，证明了与之完全一致的结果，所获结果包含并推进了已有结果．
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| 关 键 词： | 分形集 不变集 映射 豪斯道夫维数 |
A THEOREM ON THE DIMENSIONS OF NON-SELF-SIMILAR SETS |
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| Wu Min. A THEOREM ON THE DIMENSIONS OF NON-SELF-SIMILAR SETS[J]. Journal of Hubei University(Natural Science Edition), 1994, 16(3): 248-253 |
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| Authors: | Wu Min |
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| Affiliation: | Departments of Mathematics |
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| Abstract: | If the parts of comprising non-self-similar sets are disjoint,Falconer have given a lower bound of Hausdorff dimension for such sets. In this paper,for such sets of weak overlapping construction we prove that under certain condition the result is identical with Falconer's. |
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| Keywords: | Fractal set Invariant set Hausdorff dimension |
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