| 稳定分量过程像集乘积集的确切Hausdorff测度 |
| |
| 作者姓名： | 梁龙跃 |
| |
| 作者单位： | 中国科学院大学数学科学学院, 北京 100049 |
| |
| 基金项目： | 国家自然科学基金（11171342）资助 |
| |
| 摘 要： | 设{X1（t1），t1≥0}，…，{Xp（tp），tp≥0}是取值于Rd上p个相互独立稳定分量过程，讨论乘积集∏i=1pXi0，1]上的占时测度的重对数律，并利用密度定理得到乘积集的确切Hausdorff测度.作为特例，给出了Rd上p个相互独立的严格稳定过程图集乘积集的确切Hausdorff测度.
|
| 关 键 词： | 稳定分量过程 重对数律 Hausdorff测度 |
| 收稿时间： | 2013-04-25 |
| 修稿时间： | 2013-06-13 |
Exact Hausdorff measure for the product set of the ranges of stable component processes |
| |
| Authors: | LIANG Longyue |
| |
| Institution: | School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
| |
| Abstract: | Let {X1(t1),t1≥0},…,{Xp(tp),tp≥0} be p independent stable component processes on Rd. We obtain the law of the iterated logarithm for the measure on the product set ∏i=1pXi0,1]. Furthermore, by applying the density theorem, we find the exact Hausdorff measure of the product set. As a special case, we deduce the exact Hausdorff measure of the product set of graphs of p independent stable processes on Rd. |
| |
| Keywords: | stable component process the law of the iterated logarithm Hausdorff measure |
|
| 点击此处可从《》浏览原始摘要信息 |
| 点击此处可从《》下载免费的PDF全文 |
|
