| 李俊平,张红霞.带拯救的碰撞分枝过程的常返性与遍历性[J].数学年刊A辑,2009,30(1):21~30 |
| 带拯救的碰撞分枝过程的常返性与遍历性 |
| Recurrence and Ergodicity Properties of the Collision Branching Processes with Resurrection |
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| DOI： |
| 中文关键词: 碰撞分枝过程 拯救 唯一性 常返性 遍历性 |
| 英文关键词:Collision branching process, Resurrection, Uniqueness, Recurrence,
Ergodicity |
| 基金项目:国家自然科学基金，教育部留学回国人员科研启动基金 |
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| 中文摘要: |
| 考虑了一类带有拯救的碰撞分枝过程,给出了过程的正则性与唯一性准则,并得到了常返性和遍历性的充要条件.同时,给出了指数遍历性的一个便于验证的充分条件. |
| 英文摘要: |
| This paper considers the collision branching processes with resurrection. The
regularity and uniqueness criterion for such processes are presented. The recurrence and
ergodicity properties are also considered. Moreover, the recurrence, ergodicity and strongly
ergodicity criteria for such processes are established. A sufficient condition for such processes
to be exponentially ergodic is given. |
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