Geodesic
On the reduction property of the number of $H$-equivalent tuples of states in a discrete Markov chain
Diskretnaya Matematika, Tome 30 (2018) no. 1, pp. 66-76

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The phenomenon of reduction of the set of permutations $H$ arising in theorems on the weak convergence of the number of pairs of $H$-equivalent tuples in a segment of an indecomposable finite Markov chain to discrete distributions of the Poisson type is investigated.
Keywords: finite Markov chain, permutation group, tuples of states, $H$-equivalent tuples. 
@article{DM_2018_30_1_a4,
     author = {V. G. Mikhailov},
     title = {On the reduction property of the number of $H$-equivalent tuples of states in a discrete {Markov} chain},
     journal = {Diskretnaya Matematika},
     pages = {66--76},
     publisher = {mathdoc},
     volume = {30},
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     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2018_30_1_a4/}
}
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V. G. Mikhailov. On the reduction property of the number of $H$-equivalent tuples of states in a discrete Markov chain. Diskretnaya Matematika, Tome 30 (2018) no. 1, pp. 66-76. http://geodesic.mathdoc.fr/item/DM_2018_30_1_a4/