Geodesic
Some Classes of Homogeneous Denumerable Markov Processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 2 (1957) no. 3, pp. 377-380

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This paper contains a description of all denumerable homogeneous Markov processes with a fixed matrix of densities transition from a certain class of these matrices. 
@article{TVP_1957_2_3_a6,
     author = {R. L. Dobrushin},
     title = {Some {Classes} of {Homogeneous} {Denumerable} {Markov} {Processes}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {377--380},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {1957},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1957_2_3_a6/}
}
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R. L. Dobrushin. Some Classes of Homogeneous Denumerable Markov Processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 2 (1957) no. 3, pp. 377-380. http://geodesic.mathdoc.fr/item/TVP_1957_2_3_a6/