摘要
随机环境中单边二重生灭链是随机环境中单边随机游动的推广,本文利用单边二重生灭链与依时分枝链的关系,分别给出了固定环境及随机环境中二重生灭链的常返,正常返和零常返的几个充要及充分条件,随机环境中的单边随机游动的常返性的相应结果可以作为本文的推论.
Single side birth-death chain of order 2 in random environment is the extension of random walk in random environment ,this paper discusses the recurrence, positive recurrence and null recurrence of single side birth-death chain of order 2 in fixed environment and random environment respectively based on the relation between birth-death chain of order 2 and branching chain in time environment, and gives some sufficient and necessary conditions and sufficient conditions.
出处
《武汉大学学报（理学版）》
CAS
CSCD
北大核心
2007年第1期17-20,共4页
Journal of Wuhan University:Natural Science Edition
基金
国家自然科学基金资助项目(10371092)
武汉大学创新基金资助项目
关键词
随机环境
单边二重生灭链
常返
正常返
零常返
random environment
single side birth-death chain of order 2
recurrence
positive recur rence
null recurrence
