摘要
就某类带有红灯的双无限随机环境 ξ下随机游动Xnn∈Z+,P(0;x,x)=1,P(1;x,x+1)=1-P(1;x,x-1)=p,0<p<1,建立相应的Markov-双链ηnn∈Z+=(Xn,Tn ξ)n∈Z+,并给出在该红灯环境 ξ下随机游动Xnn∈Z+为常返链的条件是p=12,a.e..
To construct the skew product Markov Chain {η_n}_(n∈z^+)=｛(X_n,T^n)｝_(n∈z^+) on the basis of the random walk in the stochastically stationary and ergodic environment with red lamp, P(0;x,x)=1,P(1;x,x+1)=1-P(1;x,x-1)=p,0<p<1 . The recurrence criteria p= 1 2 a.e. for the random walk in the random environment is given.
基金
安徽省青年基金资助项目(2002jql15)
