Recurrence and trancience of states for Markov chains in random environments
Ren Min · 2011
Several sufficient conditions that the state is always weak recurrence or strong tran-cience are given and state period which is the same as the state period of Markov chains is introduced and its properties are studied.Several numerical characteristic are introduced,then the sufficient con-dition that the state with weak recurrence is strong recurrence are given.Using this property,some wrong assertions are also presented.