Random Walk In Random Environments And The Operator Theory Of M.C.

This paper consists of three parts. In the first chapter, Cogburn's theories on Markov chains in random environments are outlined. In the second chapter ,the states of the Markov chain in the random environment are classfied and a example of M C E is given.In the third chapter, some properties of Markov chain are studied by Foguel' s analytical ideas.