乘积概率空间中的维数结果(英语)  

Dimension Results in Product Probability Spaces

作　　者：戴朝寿[1] 

机构地区：[1]徐州师范学院,徐州221009

出　　处：《应用概率统计》1996年第1期19-28,共10页Chinese Journal of Applied Probability and Statistics

基　　金：Research supported by the Natural Science Foundation of Educational Committee of Jiangsu Province

摘　　要：在R^(d_1),R^(d_2)中的分形测度和R^(d_1)+r_2中乘积测度之间的关系已经被许多作者发展。本文目的是在概率空间(n_1,_1,叭),(o:,芦2,/J:)和它们的乘积概率空间(nl×xn:,厂1×丁2,P1×,:)中对Hausdorff维数和填充维数探索相应的结果。The relationship between fractal measures in Rd1, Rd2 and their product measures in Rd1+d2 has been developed by many authors. The object of this paper is to explore the corresponding results for Hausdorff dimension and packing dimension in two probability spaces (Ω1,F1,μ1),(Ω2,F2,μ2) and their product probability space (Ω1 x Ω2,F1 x F2, μ1xμ2).

关 键 词：填充维数 乘积概率人间 维数 豪斯道夫维数 

分 类 号：O211[理学—概率论与数理统计]