| 某一类集合在概率度量下的维数和测度 |
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| 引用本文： | 胡国雷.某一类集合在概率度量下的维数和测度[J].南京邮电大学学报(自然科学版),2011,31(4):125-127. |
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| 作者姓名： | 胡国雷 |
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| 作者单位： | 南京邮电大学理学院,江苏南京,210046 |
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| 摘 要： | 对单峰映射的允许揉搓序列组成的一类集合给出定量的刻画,证明了该集合在概率度量下的符号空间中的Hausdor ff维数为1,1维Hausdor ff测度为零。
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| 关 键 词： | 单峰映射 允许揉搓序列 Hausdorff维数 Hausdorff测度 |
Dimension and Measure of Some Kind of Set with Probability Metric |
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| HU Guo-lie.Dimension and Measure of Some Kind of Set with Probability Metric[J].Journal of Nanjing University of Posts and Telecommunications,2011,31(4):125-127. |
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| Authors: | HU Guo-lie |
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| Institution: | HU Guo-lie(College of Science,Nanjing University of Posts and Telecommunications,Nanjing 210046,China) |
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| Abstract: | In this paper we give quantitative version for the set made of admission kneading sequences with probability metric.It is proved for the set that the Hausdorff dimension is 1 and the 1-dimension Hausdorff measure is zero in ∑2. |
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| Keywords: | unimodal map admissible kneading sequence Hausdorff measure Hausdorff dimension |
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