| DIMENSION OF POLAR SETS FOR BROWNIAN SHEET |
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| 引用本文： | 陈振龙,刘三阳. DIMENSION OF POLAR SETS FOR BROWNIAN SHEET[J]. 数学物理学报(B辑英文版), 2003, 23(4): 549-560. DOI: 10.1016/S0252-9602(17)30499-X |
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| 作者姓名： | 陈振龙 刘三阳 |
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| 作者单位： | Department of Applied Mathematics，Xidian University，Xi'an 710071，China 2.Department of Mathematics，Yangtze University，Jingzhou 434104，China，Department of Applied Mathematics，Xidian University，Xi'an 710071，China |
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| 基金项目： | Supported by Sci-tech Innovation Project of Educational Department of Hubei Province，Major Project of Educational Department of Hubei Province (2003A005). |
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| 摘 要： | Let W={W(t);t∈R_+~N} be the d-dimensional N-parameter Brownian Sheet. Sufficient conditions for a compact set F(?) Rd {0} to be a polar set for W are proved. It is also proved that if 2N ≤d, then for any compact set E (?) R_>~N ,
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| 收稿时间： | 2002-03-25 |
DIMENSION OF POLAR SETS FOR BROWNIAN SHEET |
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| Chen Zhenlong Liu Sanyang. DIMENSION OF POLAR SETS FOR BROWNIAN SHEET[J]. Acta Mathematica Scientia, 2003, 23(4): 549-560. DOI: 10.1016/S0252-9602(17)30499-X |
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| Authors: | Chen Zhenlong Liu Sanyang |
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| Affiliation: | Chen Zhenlong Liu Sanyang1. Department of Applied Mathematics,Xidian University,Xi'an 710071,China 2.Department of Mathematics,Yangtze University,Jingzhov. 434104,China |
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| Abstract: | |
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| Keywords: | Brownian Sheet polar set Hausdorff dimension packing dimension |
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