半直线上(L,1)随机环境中随机游动常返性的判定

RECURRENCE CRITERION FOR(L,1)RANDOM WALKS ON HALF LINE IN RANDOM ENVIRONMENTS

通过分析随机游动内蕴的分枝过程的方法,直接地计算了随机游动中状态的回访次数,给出了在半直线上(L-1)随机环境中随机游动的常返性的充要条件.

By using multi-type branching processes with immigration with intrinsic branching structure of random walk,we directly calculate the return visits of state on random walk,as a consequence we prove recurrence and transience criterion for （L-1 ）random walk on half lines in a random environment..