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某一类集合在概率度量下的维数和测度

Dimension and Measure of Some Kind of Set with Probability Metric
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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。 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.
作者 胡国雷
出处 《南京邮电大学学报(自然科学版)》 2011年第4期125-127,共3页 Journal of Nanjing University of Posts and Telecommunications:Natural Science Edition
关键词 单峰映射 允许揉搓序列 HAUSDORFF维数 HAUSDORFF测度 unimodal map admissible kneading sequence Hausdorff measure Hausdorff dimension
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参考文献6

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