Model of Markov Chains in Space-Time Random Environments

摘要

A general framework of stochastic model for a Markov chain in a space-time random environment is introduced, here the environment ξ~* := {ξ_(t,x,)t∈N,x∈X} is a random field. We study the dependence relations between the environment and the original chain, especially the 'feedback'. Some equivalence theorems and law of large numbers are obtained.