| 保形图递归集的Hausdorff维数和测度 |
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| 引用本文： | 胥晖.保形图递归集的Hausdorff维数和测度[J].数学学报,2001,44(4):633-640. |
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| 作者姓名： | 胥晖 |
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| 作者单位： | 武汉大学数学和计算机科学学院 |
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| 摘 要： | 本文确定了保形图递归集的 Ｈａｕｓｄｏｒｆｆ维数，证明了相应的 Ｈａｕｓｄｏｒｆｆ度是正σ－有限的，并且我们给出了 Ｈａｕｓｄｏｒｆｆ测度为正有限的充分必要条件．
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| 关 键 词： | 图递归构造 图递归集 Hausdorff维数 Hausdorff测度 |
| 文章编号： | 0583-1431(2001)04-0633-08 |
| 修稿时间： | 1999年6月11日 |
The Hausdorff Dimension and Measure of Conformal Graph-Directed Sets |
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| XU Hui.The Hausdorff Dimension and Measure of Conformal Graph-Directed Sets[J].Acta Mathematica Sinica,2001,44(4):633-640. |
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| Authors: | XU Hui |
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| Affiliation: | XU Hui (College of Mathematics and Computer Science, Wuhan University,Wuhan 430072, P. R. China) |
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| Abstract: | in this article, we determine the Hausdorff dimension of the comformal graphdirected set, prove that the associated Hausdorff measure is positive o-finite, and give the sufficient and necessary condition that makes Hausdorff measure be positive finite. |
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| Keywords: | Graph directed construction Graph directed set Hausdorff dimension Hausdorff measure |
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