| 稳定分量过程像集乘积集的确切填充测度 |
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| 作者姓名： | 梁龙跃 |
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| 作者单位： | 中国科学院大学数学科学学院, 北京 100049 |
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| 基金项目： | 国家自然科学基金（11171342）资助 |
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| 摘 要： | 设{X1（t1），t1≥0}，…，{Xp（tp），tp≥0} 是取值于 Rd 上 p 个相互独立的稳定分量过程，讨论乘积集 ∏i=1p Xi0，1] 上占时测度的重对数律，并利用密度定理得到乘积集的确切填充测度.作为特例，给出R d 上p个相互独立的严格稳定过程像集与图集乘积集的确切填充测度.
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| 关 键 词： | 稳定分量过程 重对数律 填充测度 |
| 收稿时间： | 2013-04-30 |
| 修稿时间： | 2013-11-25 |
Exact packing measure for the product set of the ranges of stable component processes |
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| Authors: | LIANG Longyue |
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| Institution: | School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | Let {X1(t1),t1≥0}, …,{Xp(tp),tp≥0} be p independent stable component processes in Rd. We obtain the law of the iterated logarithm for the measure on the product set ∏ i=1pXi0,1]. By applying the density theorem, we derive the exact packing measure of the product set. As a special case, we deduce the exact packing measure of the product set of ranges and graphs for p independent stable processes in Rd. |
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| Keywords: | stable component process the law of the iterated logarithm packing measure |
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