| 一类流动介质下超过程占位时的状态特征 |
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| 引用本文： | 王永进.一类流动介质下超过程占位时的状态特征[J].数学学报,1996,39(5):681-689. |
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| 作者姓名： | 王永进 |
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| 作者单位： | 南开大学数学系 |
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| 基金项目： | 国家自然科学基金,青年基金 |
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| 摘 要： | 本文考虑流动介质下的粒子系统，在Ｄａｗｓｏｎ假设下引出一类带广义分枝的测度值分枝过程（超过程）．这类超过程描述了更丰富的粒子分枝现象，具有许多独特的性质．在此我们主要研究其积分过程即占位时过程，揭示了它的两个重要特性即密度场的存在性和长时间的收敛性．
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| 关 键 词： | 超过程，分枝强度，占位时，密度场，奇异测度 |
| 收稿时间： | 1994-11-7 |
| 修稿时间： | 1995-11-27 |
The State Characters of the Occupation Times for a Class of Super-processes in a Movable Medium |
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| Wang Yongjin.The State Characters of the Occupation Times for a Class of Super-processes in a Movable Medium[J].Acta Mathematica Sinica,1996,39(5):681-689. |
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| Authors: | Wang Yongjin |
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| Institution: | Wang Yongjin(Department of Mathematics,Nankai University,Tianjin 300071, China) |
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| Abstract: | This article concerns the particle systems in a movable medium,which aunder Dawson's hypothesis lead to a class of measure-valued branching processes (Super-processes).The Super-processes describe a variety of phenomena on propagating of particles,and they have many distinctive properties.We here mainly approach their integral-processes i.e. occupation time processes and for which two important characters: the existence of density fields and the convergence for large time behavior,will be demonstrated. |
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| Keywords: | Super-processes Branching intensity Occupation times Density fields Singular measures |
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