THE CONSTRUCTION OF DENUMERABLE q-PROCESSES IN RANDOM ENVIRONMENTS SATISFYING (F) OR (B)  

作　　者：胡迪鹤 胡晓予 

机构地区：[1]School of Mathematics and Statistics,Yunnan University [2]School of Mathematics and Statistics,Wuhan University [3]Graduate School,Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2008年第4期975-988,共14页数学物理学报（B辑英文版）

基　　金：the NNSF of China(10371092,10771185,10471148);the Foundation of Wuhan University

摘　　要：This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-processes in random environments satisfying the random Kolmogorov forward（backward）equation is constructed.Moreover, under some conditions,all the q-processes in random environments satisfying the random Kolmogorov forward（backward）equation are constructed.This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-processes in random environments satisfying the random Kolmogorov forward（backward）equation is constructed.Moreover, under some conditions,all the q-processes in random environments satisfying the random Kolmogorov forward（backward）equation are constructed.

关 键 词：Markov process in random environment q-matrix in random environment q-process in random environment 

分 类 号：O211.6[理学—概率论与数理统计]