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Trudy Moskovskogo Matematicheskogo Obshchestva, 2021, Volume 82, Issue 1, Pages 105–135 (Mi mmo649)  
This article is cited in 1 scientific paper (total in 1 paper)

On Mealy–Moore coding and images of Markov measures

R. Grigorchuk, R. Kogan, Ya. Vorobets

Department of Mathematics Texas A&M University, College Station
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Abstract: We study the images of the Markov measures under transformations generated by the Mealy automata. We find conditions under which the image measure is absolutely continuous or singular relative to the Markov measure. Also, we determine statistical properties of the image of a generic sequence.
Key words and phrases: Markov measure, Mealy automaton, Moore diagram, regular rooted tree endomorphism, activity growth, pushforward measure, asymptotic frequency.
Funding agency Grant number
Simons Foundation 527814
The first author gratefully acknowledges support from the Simons Foundation through Collaboration Grant #527814.
Received: 08.02.2021
English version:
Transactions of the Moscow Mathematical Society, 2021, Volume 82, Pages 89–115
DOI: https://doi.org/10.1090/mosc/314
Bibliographic databases:
Document Type: Article
UDC: 517.987
MSC: 37A50, 37B10
Language: English
Citation: R. Grigorchuk, R. Kogan, Ya. Vorobets, “On Mealy–Moore coding and images of Markov measures”, Tr. Mosk. Mat. Obs., 82, no. 1, MCCME, M., 2021, 105–135; Trans. Moscow Math. Soc., 82 (2021), 89–115
Citation in format AMSBIB
\Bibitem{GriKogVor21}
\by R.~Grigorchuk, R.~Kogan, Ya.~Vorobets
\paper On Mealy--Moore coding and images of Markov measures
\serial Tr. Mosk. Mat. Obs.
\yr 2021
\vol 82
\issue 1
\pages 105--135
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo649}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2021
\vol 82
\pages 89--115
\crossref{https://doi.org/10.1090/mosc/314}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85127525587}
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    • This publication is cited in the following 1 articles:
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