THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT(I):MODEL,MARKOV PROPERTY,MOMENTS  

作　　者：胡迪鹤 胡晓予 

机构地区：[1]School of Mathematics and Statistics,Wuhan University [2]Graduate University,Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2010年第5期1669-1678,共10页数学物理学报（B辑英文版）

基　　金：Supported by the NSFC(10371092,11771185,10871200)

摘　　要：There are three parts in this article. In Section 1, we establish the model of branching chain with drift in space-time random environment （BCDSTRE）, i.e., the coupling of branching chain and random walk. In Section 2, we prove that any BCDSTRE must be a Markov chain in time random environment when we consider the distribution of the particles in space as a random element. In Section 3, we calculate the first-order moments and the second-order moments of BCDSTRE.There are three parts in this article. In Section 1, we establish the model of branching chain with drift in space-time random environment （BCDSTRE）, i.e., the coupling of branching chain and random walk. In Section 2, we prove that any BCDSTRE must be a Markov chain in time random environment when we consider the distribution of the particles in space as a random element. In Section 3, we calculate the first-order moments and the second-order moments of BCDSTRE.

关 键 词：branching chain with drift in space-time random enviromnent randombranching generating function local random transition generating function random drift law random branching law 

分 类 号：O211.62[理学—概率论与数理统计] TS210.1[理学—数学]