A local limit theorem for the number of transitions in a Markov chain and its applications
Doklady Akademii Nauk, Tome 167 (1966) no. 6, pp. 1238-1241.

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     author = {N. V. Smirnov and O. V. Sarmanov and V. K. Zakharov},
     title = {A local limit theorem for the number of transitions in a {Markov} chain and its applications},
     journal = {Doklady Akademii Nauk},
     pages = {1238--1241},
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     number = {6},
     year = {1966},
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N. V. Smirnov; O. V. Sarmanov; V. K. Zakharov. A local limit theorem for the number of transitions in a Markov chain and its applications. Doklady Akademii Nauk, Tome 167 (1966) no. 6, pp. 1238-1241. http://geodesic.mathdoc.fr/item/DAN_1966_167_6_a6/