半直线上随机环境中随机游动的强大数定律

The Strong Law of Large Numbers of Random Walk in Random Environments on Half-Line

摘要: 本文讨论了右半直线上带有原点反射壁的随机环境中随机游动, 并给出了其常返性的充要条件. 在非常返的情况下, 获得了从到首中时的二阶矩的一个估计. 同时, 给出了右半直线上随机环境中随机游动的强大数定律.

Abstract: The random walk in random environments (RWIRE) on the right half line with reflected barrier on the origin is discussed. The recurrence of RWIRE on the right half line is studied. In the non-recurrent case, we obtain an estimation for the second moment of , the frist time of RWIRE from to , which in turn yields a strong law of large numbers of RWIRE on the right half line.