Algebraic convergence in the $L^2$-sense is studied for general
time-continuous, reversible Markov chains with countable state
space, and especially for birth--death chains. Some criteria for
the convergence are presented. The results are effective since the
convergence region can be completely covered, as illustrated by
two examples.
@article{1050689596,
author = {Chen, Mu-Fa and Wang, Ying-Zhe},
title = {Algebraic convergence of Markov chains},
journal = {Ann. Appl. Probab.},
volume = {13},
number = {1},
year = {2003},
pages = { 604-627},
language = {en},
url = {http://dml.mathdoc.fr/item/1050689596}
}
Chen, Mu-Fa; Wang, Ying-Zhe. Algebraic convergence of Markov chains. Ann. Appl. Probab., Tome 13 (2003) no. 1, pp. 604-627. http://gdmltest.u-ga.fr/item/1050689596/