Acta mathematica scientia,Series A

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The Classification of States for Skew Product Markov Chains

 XIAO Zheng-Yan, HU Di-He   

  1. 武汉大学数学与统计学院 武汉 |430072
  • Online:2003-06-25 Published:2003-06-25
  • Supported by:

    国家自然科学基金(10071058-2)及武汉大学基金资助

Abstract:

The main result of this paper is the classification of states on skew  product Markov chains. First of all, the authors introduce some basic concepts o n the sta tes, such as recurrent state, strongly recurrent state, and strongly transient s tate, essential state, and then give some criteria. At last, the paper provides  the necessary and  sufficient conditions for proper essential state where joint space is indecompo sable and proper essential.

Key words: Markov chains in random environments, Skew product Markov chains, Classification of states, Random environments.

CLC Number: 

  • 60J05
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