Geodesic
On convergence of non-homogeneous bistochastic Markov chains
Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 4, pp. 622-636

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In this paper, convergence of hon-homogeneous bistohastic Markov chains is studied. Various forms of necessary and sufficient conditions are obtained for ergodic convergence of the chains. 
@article{TVP_1970_15_4_a2,
     author = {V. M. Maksimov},
     title = {On convergence of non-homogeneous bistochastic {Markov} chains},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {622--636},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a2/}
}
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V. M. Maksimov. On convergence of non-homogeneous bistochastic Markov chains. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 4, pp. 622-636. http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a2/