Criteria for strong ergodicity of Markov chains
- 1 March 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 15 (01) , 87-95
- https://doi.org/10.1017/s0021900200105613
Abstract
For finite Markov chains, the concepts of ergodicity and strong ergodicity are equivalent, but this is not necessarily the case when the state space is infinite. In this note we give some new characterizations of strong ergodicity. These lead to simple necessary or sufficient criteria for strong ergodicity, which readily enable us to classify a number of examples.Keywords
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