| \mathbb{R}�϶Գ�Cauchy������ȷ��Hausdorff��� |
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| 引用本文： | ����Ծ,ʯ����.\mathbb{R}�϶Գ�Cauchy������ȷ��Hausdorff���[J].应用概率统计,2020,36(1):11-25. |
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| 作者姓名： | ����Ծ ʯ���� |
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| 作者单位： | ????????????, ????, 550025; ?????????????, ???, 211194 |
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| 摘 要： |
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| 关 键 词： | ???Cauchy???? ????? ??????? Hausdorff??? |
The Exact Hausdorff Measure for the Range of a Symmetric Cauchy Process in \mathbb{R} |
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| LIANG Longyue,SHI Haihua.The Exact Hausdorff Measure for the Range of a Symmetric Cauchy Process in \mathbb{R}[J].Chinese Journal of Applied Probability and Statisties,2020,36(1):11-25. |
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| Authors: | LIANG Longyue SHI Haihua |
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| Institution: | School of Economics, Guizhou University, Guiyang, 550025, China; College of Science, Nanjing University of Science and Technology, Nanjing, 211194, China |
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| Abstract: | ??This paper establishes limsup type law of the iterated logarithm of the occupation measure, using the asymptotic equivalence relation between the occupation measure and the number of excursion process of a symmetric Cauchy process. Furthermore, by using the density theorem and the economic coverage method, it derives the exact Hausdorff measure for the range of a symmetric Cauchy process in \mathbb{R}. |
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| Keywords: | symmetric Cauchy process occupation measure the law of the iterated logarithm Hausdorff measure |
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