Sufficient conditions for ergodicity and recurrence of Markov chains on a general state space

@inproceedings{Tweedie1975SufficientCF,
  title={Sufficient conditions for ergodicity and recurrence of Markov chains on a general state space},
  author={Richard L. Tweedie},
  year={1975}
}
Let {Xn} be a [empty set][combining character]-irreducible Markov chain on an arbitrary space. Sufficient conditions are given under which the chain is ergodic or recurrent. These extend known results for chains on a countable state space. In particular, it is shown that if the space is a normed topological space, then under some continuity conditions on the transition probabilities of {Xn} the conditions for ergodicity will be met if there is a compact set K and an [epsilon] > 0 such that E… CONTINUE READING
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