Proposition 5.5.6(ii)in the book Markov Chains and Stochastic Stability(2nd ed,Cambridge Univ.Press,2009)has been used in the proof of a theorem about ergodicity of Markov chains.Unfortunately,an example in this paper...Proposition 5.5.6(ii)in the book Markov Chains and Stochastic Stability(2nd ed,Cambridge Univ.Press,2009)has been used in the proof of a theorem about ergodicity of Markov chains.Unfortunately,an example in this paper shows that this proposition is not always true.Thus,a correction of this proposition is provided.展开更多
基金This work was supported in part by the National Natural Science Foundation of China(Grant Nos.11931018,61773411)the National Natural Science Foundation of Guangdong Province,China(Grant No.2021A1515010057)and Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University,China(2020B1212060032).
文摘Proposition 5.5.6(ii)in the book Markov Chains and Stochastic Stability(2nd ed,Cambridge Univ.Press,2009)has been used in the proof of a theorem about ergodicity of Markov chains.Unfortunately,an example in this paper shows that this proposition is not always true.Thus,a correction of this proposition is provided.
