| 相互粒子系统中的负相关(英文) |
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| 引用本文： | 申广君,李志民.相互粒子系统中的负相关(英文)[J].大学数学,2007,23(4):34-37. |
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| 作者姓名： | 申广君 李志民 |
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| 作者单位： | 1. 安徽师范大学,数学计算机学院,安徽,芜湖,241000
2. 上海交通大学,数学系,上海,200030 |
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| 基金项目： | Research Foundation of the Education Committee of Anhui Province （No. 2007B184） |
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| 摘 要： | 主要研究相互粒子系统中概率测度的负相关.我们得到判定概率测度是负相关的一个充分必要条件.最后证明了具有负相关的概率测度的线性组合及乘积测度仍是负相关的.
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| 关 键 词： | 相互粒子系统 负相关 马氏过程 |
| 文章编号： | 1672-1454（2007）04-0034-04 |
| 修稿时间： | 2005-11-17 |
Negative Correlation in Interacting Particle Systems |
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| SHEN Guang-jun,LI Zhi-min.Negative Correlation in Interacting Particle Systems[J].College Mathematics,2007,23(4):34-37. |
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| Authors: | SHEN Guang-jun LI Zhi-min |
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| Institution: | 1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China; 2. Department of Mathematics, Jiaotong University, Shanghai 230030, China |
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| Abstract: | We mainly study negative correlations in interacting particle systems.We give a sufficient and necessary condition for negative correlations.Moreover,we prove the linear combination and product measure of probability measures with negative correlation are preserved. |
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| Keywords: | interacting particle systems negative correlation Markov process |
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