Some sufficient conditions for non-ergodicity of markov chains
- 1 March 1985
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 22 (1) , 138-147
- https://doi.org/10.2307/3213753
Abstract
Some sufficient conditions for non-ergodicity are given for a Markov chain with denumerable state space. These conditions generalize Foster's results, in that unbounded Lyapunov functions are considered. Our criteria directly extend the conditions obtained in Kaplan (1979), in the sense that a class of Lyapunov functions is studied. Applications are presented through some examples; in particular, sufficient conditions for non-ergodicity of a multidimensional Markov chain are given.Keywords
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