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Diskretnaya Matematika, 2018, Volume 30, Issue 1, Pages 66–76
DOI: https://doi.org/10.4213/dm1459 (Mi dm1459) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the reduction property of the number of $H$-equivalent tuples of states in a discrete Markov chain

V. G. Mikhailov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/dm1459
Abstract: 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.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant no. 14-50-00005.
Received: 04.09.2017
Revised: 16.10.2017
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 2, Pages 75–82
DOI: https://doi.org/10.1515/dma-2018-0008
Bibliographic databases:
Document Type: Article
UDC: 519.212.2
Language: Russian
Citation: V. G. Mikhailov, “On the reduction property of the number of $H$-equivalent tuples of states in a discrete Markov chain”, Diskr. Mat., 30:1 (2018), 66–76; Discrete Math. Appl., 28:2 (2018), 75–82
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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