We define the strong π-irreducibility for Markov chains in random environments.A sufficient condition is obtained to ensure no improperly essential state existing.We obtain many properties of states under various irreducibilities.Finally
we study the properties of various character functions for Markov chains in random environments.
关键词
随机环境中马氏链强π-不可约性π-不可约性强常返正则本质
Keywords
Markov chains in random environmentsstrong π-irreducibilityproperly essentialstrong recurrentπ-irreducibility