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 quasistationary probability distribution.
@article{1008956338,
author = {Lasserre, Jean B. and Pearce, Charles E. M.},
title = {On the existence of a quasistationary measure for a Markov
chain},
journal = {Ann. Probab.},
volume = {29},
number = {1},
year = {2001},
pages = { 437-446},
language = {en},
url = {http://dml.mathdoc.fr/item/1008956338}
}
Lasserre, Jean B.; Pearce, Charles E. M. On the existence of a quasistationary measure for a Markov
chain. Ann. Probab., Tome 29 (2001) no. 1, pp. 437-446. http://gdmltest.u-ga.fr/item/1008956338/