| 自相似集上马尔科夫测度的加倍性质 |
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| 引用本文： | 王小华 文志雄. 自相似集上马尔科夫测度的加倍性质[J]. 数学物理学报(A辑), 2010, 30(4): 908-914 |
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| 作者姓名： | 王小华 文志雄 |
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| 作者单位： | 王小华(中央财经大学中国经济与管理研究院,北京,100081);文志雄(华中科技大学数学系,武汉,430074) |
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| 基金项目： | 国家自然科学基金，湖南省自然科学基金 |
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| 摘 要： | 该文讨论满足开集条件的自相似集上的马尔科夫测度,给出了马尔科夫测度具有加倍性质的一个充分必要条件.作为应用,刻画了几个具体的自相似集上具有加倍性质的马尔科夫测度.
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| 关 键 词： | 自相似集 马尔科夫测度 加倍测度 |
| 收稿时间： | 2008-03-24 |
| 修稿时间： | 2009-02-27 |
The Doubling Property of Markov Measures on Self-similar Sets |
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| WANG Xiao-Hua,WEN Zhi-Xiong. The Doubling Property of Markov Measures on Self-similar Sets[J]. Acta Mathematica Scientia, 2010, 30(4): 908-914 |
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| Authors: | WANG Xiao-Hua WEN Zhi-Xiong |
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| Affiliation: | 1.China Economics and Management Academy, Central University of Finance and Economics, Beijing 100081|2.Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074 |
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| Abstract: | The authors study Markov measures on self-similar sets which satisfy the open set condition and study necessary and sufficient conditions for their associated Markov measures to be doubling on its support in this paper. As an application, the authors characterize Markov measures with doubling properties on some self-similar sets. |
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| Keywords: | Self-similar setzz Markov measurezz Doubling measurezz |
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