On the existence of a quasistationary measure for a Markov chain

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Abstract

We consider a Markov chain on a locally compact metric space with an absorbing set. Necessary and sufficient conditions are provided for the existence of a quasi stationary probability distribution.

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Lasserre, J. B., & Pearce, C. E. M. (2001). On the existence of a quasistationary measure for a Markov chain. Annals of Probability, 29(1), 437–446. https://doi.org/10.1214/aop/1008956338

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