On the classification of Markov chains via occupation measures
Applicationes Mathematicae, Tome 27 (2000) no. 4, pp. 489-498.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider a Markov chain on a locally compact separable metric space $X$ and with a unique invariant probability. We show that such a chain can be classified into two categories according to the type of convergence of the expected occupation measures. Several properties in each category are investigated.
DOI : 10.4064/am-27-4-489-498
Keywords: absolute continuity, positive Harris recurrence, setwise convergence, measures

Onésimo Hernández-Lerma 1 ; Jean Lasserre 1

1
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Onésimo Hernández-Lerma; Jean Lasserre. On the classification of Markov chains via occupation measures. Applicationes Mathematicae, Tome 27 (2000) no. 4, pp. 489-498. doi : 10.4064/am-27-4-489-498. http://geodesic.mathdoc.fr/articles/10.4064/am-27-4-489-498/

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