Birth-death processes on trees

被引：0
|
作者：
YuTao Ma
机构：
[1] Beijing Normal University,School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems
来源：
Science China Mathematics | 2010年 / 53卷
关键词：
birth-death process; tree; ergodicity; Dirichlet eigenvalue; 37A30; 37E30; 60G50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider birth-death processes on a tree T and we are interested when it is regular, recurrent and ergodic (strongly, exponentially). By constructing two corresponding birth death processes on ℤ+, we obtain computable conditions sufficient or necessary for that (in many cases, these two conditions coincide). With the help of these constructions, we give explicit upper and lower bounds for the Dirichlet eigenvalue λ0. At last, some examples are investigated to justify our results.
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页码：2993 / 3004
页数：11
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