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THE MEASURE FUNCTIONS OF RANDOM CANTOR SET AND FRACTALS DETERMINED BY SUBORDINATORS

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成果类型:
期刊论文
作者:
HU, XY*
通讯作者:
HU, XY
通讯机构:
[HU, XY ]
CENT CHINA NORMAL UNIV,DEPT MATH,WUHAN 430070,PEOPLES R CHINA.
语种:
英文
关键词:
RANDOM;CANTOR;set;SUBORDINATOR;stable;process;HAUSDORFF;MEASURE;FUNCTION;packing;MEASURE;function.;RANDOM CANTOR SET;SUBORDINATOR;STABLE PROCESS;HAUSDORFF MEASURE FUNCTION;PACKING MEASURE FUNCTION
关键词(中文):
凡口;可可
期刊:
科学通报(英文版)
ISSN:
2095-9273
年:
1995
卷:
40
期:
6
页码:
441-445
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
Let (Ω, F, P)=([0, 1], [0, 1], μ)N (μ is the Lebesque measure, N={1, 2,…}).{Xn}n=1∞ are independent random variables on (Ω, F, P) with Xn(ω)=ωn, where ω=(ω1, ω2,…). The {Xn}n=1∞ are almost surely distinct. Thus to almost all sample points ω there is a random partial order 【 of the integers given by
摘要(中文):
Let (Ω, F, P)=([0, 1], [0, 1], μ)N (μ is the Lebesque measure, N={1, 2,…}).{Xn}n=1∞ are independent random variables on (Ω, F, P) with Xn(ω)=ωn, where ω=(ω1, ω2,…). The {Xn}n=1∞ are almost surely distinct. Thus to almost all sample points ω there is a random partial order < of th...

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