论文标题
在随机环境中移民的关键分支过程
A critical branching process with immigration in random environment
论文作者
论文摘要
考虑了随机环境中移民发展的Galton-Watson分支过程。假定其相关的随机步行是振荡的。我们证明了功能极限定理，其中仅根据随机环境将所考虑的过程通过随机系数进行标准化。限制过程的分布是根据严格稳定的征费过程以及一系列独立于此过程的独立和相同分布的随机变量的序列来描述的。
A Galton-Watson branching process with immigration evolving in a random environment is considered. Its associated random walk is assumed to be oscillating. We prove a functional limit theorem in which the process under consideration is normalized by a random coefficient depending on the random environment only. The distribution of the limiting process is described in terms of a strictly stable Levy process and a sequence of independent and identically distributed random variables which is independent of this process.
