Coupling methods are used to obtain a structure theorem for the atomic decomposition of the tail $\sigma$-algebra of an arbitrary nonhomogeneous Markov chain. Various related results are also derived by coupling.
@article{1176995989,
author = {Griffeath, David},
title = {Partial Coupling and Loss of Memory for Markov Chains},
journal = {Ann. Probab.},
volume = {4},
number = {6},
year = {1976},
pages = { 850-858},
language = {en},
url = {http://dml.mathdoc.fr/item/1176995989}
}
Griffeath, David. Partial Coupling and Loss of Memory for Markov Chains. Ann. Probab., Tome 4 (1976) no. 6, pp. 850-858. http://gdmltest.u-ga.fr/item/1176995989/