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Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (3): 273-280    DOI:
    
Several recurrence and transience of states for Markov chains in random environments
FEI Shi-long
School of Mathematics and Statistics, Suzhou University, Suzhou 234000, China
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Abstract  Several concepts of recurrence and transience of states for Markov Chains in random environments are introduced under the influence of various environmental factors, and their connections and properties are discussed. These conclusions present that the recurrence and transience of states for Markov Chains in random environments and the recurrence and transience of states for classical Markov chains have obvious differences.

Key wordsrandom environments      recurrence      transience     
Received: 10 June 2015      Published: 16 May 2018
CLC:  O211.62  
Cite this article:

FEI Shi-long. Several recurrence and transience of states for Markov chains in random environments. Applied Mathematics A Journal of Chinese Universities, 2016, 31(3): 273-280.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2016/V31/I3/273


随机环境中马氏链状态的各种常返性与暂留性

考虑到随机环境中马氏链的状态在受到环境因素各种条件的影响下, 引入了随机环境中马氏链状态的各种常返性与暂留性概念, 讨论了这些常返性与暂留性的相互关系, 从而说明随机环境中马氏链状态的常返性与暂留性和经典马氏链状态的常返性与暂留性有着显著的区别.

关键词: 随机环境,  常返,  强常返,  暂留 
[1] GAO Ping. Strong stability of $(\alpha,\beta)$-mixing sequences[J]. Applied Mathematics A Journal of Chinese Universities, 2016, 31(4): 405-412.