Trudy Moskovskogo Matematicheskogo Obshchestva
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (385 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/mmo649
  • https://www.mathnet.ru/eng/mmo/v82/i1/p105
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Moskovskogo Matematicheskogo Obshchestva
    Statistics & downloads:
    Abstract page:55
    Full-text PDF :10
    References:20
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024