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

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.