随机环境中分枝过程的暂留性与灭绝概率的性质

摘要

从随机环境中分枝过程是随机环境中马氏链入手,讨论了随机环境中分枝过程状态的暂留性、常返性以及灭绝概率的性质.%Based on the fact that branching processes in random environments are Markovian chains in random environments, transience and recurrence of the states are discussed and some properties of the extinction probability are obtained.