| 算子自相似马氏过程的Hausdorff维数定理 |
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| 引用本文： | 张峰,熊炜,叶臣.算子自相似马氏过程的Hausdorff维数定理[J].数学杂志,2000,20(2):231-236. |
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| 作者姓名： | 张峰 熊炜 叶臣 |
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| 作者单位： | 武汉大学数学与计算机科学学院,武汉,430072 |
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| 基金项目： | the National Natural Science Foundation of China |
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| 摘 要： | 对各向同性，算子自相似马氏过程，本文在恰当的条件下得到了其象集与图集的Ｈａｕｓｄｏｒｆｆ维数。其证明表明该维数的估计与其算子特征值的实部有关。
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| 关 键 词： | 各向同性 算子相似马氏过程 Hausdorff维数 |
HAUSDORFF DIMENSION THEOREMS FOR OPERATOR-SELF-SIMILAR MARKOV PROCESSES |
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| ZHANG Feng,XIONG Wei,YE Chen.HAUSDORFF DIMENSION THEOREMS FOR OPERATOR-SELF-SIMILAR MARKOV PROCESSES[J].Journal of Mathematics,2000,20(2):231-236. |
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| Authors: | ZHANG Feng XIONG Wei YE Chen |
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| Abstract: | Let X(t)(t∈R+) be an isotropic, operator-self-similar Markov process, the Hausdorff dimension of the image, graph of X(t) are obtained under certain mild conditions, which show that the Hausdorff dimension can be estimated by the real parts of the eigenvalues of the self-similar exponent D. |
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| Keywords: | isotropic operator self similar Markov process image graph Hausdorff dimension |
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