一类具有红灯环境下随机游动的极限性态

The limit behavior of random walk in a stochastic environment with a red lamp

就某类红灯随机环境ξ下随机游动{Xn}n∈Z+,建立相应的Markov-双链{ηn}n∈Z+={(Xn,Tnξ)}n∈Z+;并给出在该红灯环境ξ下,{Xn}n∈Z+的发展受红灯环境影响的关系式;以及由此关系式得出:由于红灯环境的影响减缓了{Xn}n∈Z+的发展速度.

In this paper,we constructed the skew product Markov Chain ｛η_n｝_(n∈Z^+)=｛(X_n,T^n)｝_(n∈Z^+) on the basic of the random walk ｛X_n｝_(n∈Z^+) in the stochastic environment with a red lamp, and gave the environment influing formula of the limit behavior for the random walk in the random environment;moreover, the relative results show that the red lamp slows up ｛X_n｝_(n∈Z^+) s limit behavior.