收稿日期: 2013-04-30
修回日期: 2013-11-25
网络出版日期: 2014-09-15
基金资助
国家自然科学基金（11171342）资助
Exact packing measure for the product set of the ranges of stable component processes
Received date: 2013-04-30
Revised date: 2013-11-25
Online published: 2014-09-15
梁龙跃 . 稳定分量过程像集乘积集的确切填充测度[J]. 中国科学院大学学报, 2014 , 31(5) : 577 -585 . DOI: 10.7523/j.issn.2095-6134.2014.05.001
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=1pXi[0,1]. 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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