【摘要】 证明了独立同分布环境中的两性分枝过程是时奇的马氏链,给出了过程灭绝-爆炸这一对偶性的一个新的证明。在随机环境情形下,证明了一类单调函数的存在性。更多还原

【Abstract】 It is verified that bisexual Galto-Watson branching processes in independent and identically distributed random environments is a time-homogeneous markov chain.A new proof of the duality extinction-explosion for the process is given.In the case of random environments,the existence of a class of monotonic functions is proved.更多还原