| 概率空间上的盒维数 |
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| 引用本文： | 李月玲.概率空间上的盒维数[J].徐州师范大学学报(自然科学版),2012,30(4):29-33. |
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| 作者姓名： | 李月玲 |
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| 作者单位： | 江苏师范大学数学与统计学院,江苏徐州,221116 |
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| 基金项目： | 作者衷心感谢江苏师范大学数学与统计学院戴朝寿教授对本文的指导. |
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| 摘 要： | 在概率空间（Ω，ξ,μ）上定义关于卢的上、下盒维数，并给出了上、下盒维数的另一等价定义，讨论了概率空间上关于产的上、下盒维数与关于μ的Hausdorff维数、预填充维数及填充维数之间的关系．
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| 关 键 词： | 盒维数 Hausdorff维数 测度 填充维数 |
Box dimension in a probability space |
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| Li Yueling.Box dimension in a probability space[J].Journal of Xuzhou Normal University(Natural Science Edition),2012,30(4):29-33. |
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| Authors: | Li Yueling |
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| Institution: | Li Yueling(School of Mathematics & Statitics,Jiangsu Normal University,Xuzhou 221116,Jiangsu,China) |
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| Abstract: | Let {X,, nE N} be a stochastic process on a probability space （Ω,F,μ）. Firstly, the upper and lower box dimension with respect to μ in a probability space are defined, then the equivalent definitions of the upper and lower box dimensions are given. At last, the relations are investigated between the upper and lower box dimensions with respect to μ and Hausdorff dimension, pre-packing and packing dimension with respect to p. |
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| Keywords: | box dimension Hausdorff dimension measure packing dimension |
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