平稳环境中马氏链的几点注记

Some Notes of Markov Chains in Stationary Random Environments

F是闭集当且仅当L(x,θ;Fc)=0μ-a.e.(x,θ)∈F;y是弱常返的,x可达y,则∞n=1∑Pn(x,θ;[E]y)=∞;当X是有限集时,M=C1=C≠φ,部分地回答了Orey[1]提出的开问题.

F is closed set if and only if L(x, θ ;Fc)=0 μ-a.e. (x, θ ) ∈ F;If y is weakly recurrence, x lead to y, then ∞n=1∑ Pn(x, θ;[E]y)= ∞. If X is finite set,then M=C1=C≠φ .