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

作　　者：胡国雷[1] 

机构地区：[1]南京邮电大学理学院,江苏南京210046

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

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.

关 键 词：单峰映射 允许揉搓序列 HAUSDORFF维数 HAUSDORFF测度 

分 类 号：O189.1[理学—数学]