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| 双边生灭过程的轨道结构与构造理论 | |
| 引用本文： | 陈丽,薛玲霞,兰社云,刘利敏.双边生灭过程的轨道结构与构造理论[J].河南大学学报(自然科学版),2012,42(4):337-342. |
| 作者姓名： | 陈丽 薛玲霞 兰社云 刘利敏 |
| 作者单位： | 1. 郑州师范学院数学系,河南郑州,450044 2. 郑州旅游职业学院,河南郑州,450044 3. 河南师范大学数学与信息科学学院,河南新乡,453007 |
| 基金项目： | 国家自然科学基金资助项目，河南省教育厅软科学基金 |
| 摘 要： | 给出了双边生灭过程的轨道结构,用Markov链的Ray-Knight方法得到了强Markov过程X=(Ω,F,Ft,Xt,θt,Px),它克服了在Markov链通常构造的典范链的只具有右下半连续性及仅保持部分强Markov性的缺陷,并从∞是流入的、∞是流出的、∞是自然的、∞是正则的等几个方面指出双边生灭轨道结构与构造理论之间的对应关系. |
| 关 键 词： | 双边生灭过程 Martin流出边界 Ray-Knight紧化 右过程 正则点 |
Paths of Bilateral Birth-Death Processes and Construction Theory |
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| CHEN Li , XUE Ling-xia , LAN She-yun , LIU Li-min.Paths of Bilateral Birth-Death Processes and Construction Theory[J].Journal of Henan University(Natural Science),2012,42(4):337-342. | |
| Authors: | CHEN Li XUE Ling-xia LAN She-yun LIU Li-min |
| Institution: | 1.Department of Mathematics Zhengzhou Normal University,Zhengzhou 450044,China; 2.Zhengzhou Tourism College,Zhengzhou 450044,China; 3.College of Mathematics and Information Science,Henan Normal Xinxiang University,Xinxiang 453007,China) |
| Abstract: | This paper discusses the paths of bilateral birth-death process,the strong Markov process has been given with Markov ray-knight method,overcoming in Markov chain of model usually of only with continuity and only half right lower part of a strong markov defect.The corresponding relationship between the paths and construction theory was pointed out from the inflow ∞,the outflows ∞,the natural ∞,and the regular ∞. |
| Keywords: | bilateral birth-death process Martin exit boundary Ray-Knight compactification right process regular point |
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