Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2012, Volume 76, Issue 4, Pages 647–668
DOI: https://doi.org/10.1070/IM2012v076n04ABEH002599 (Mi im6596) 		 
On almost-periodic points of a topological Markov chain

S. A. Bogatyia, V. V. Redkozubovb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Institute of Physics and Technology
English version PDF (328 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2012v076n04ABEH002599
Abstract: We prove that a transitive topological Markov chain has almost-periodic points of all $D$-periods. Moreover, every $D$-period is realized by continuously many distinct minimal sets. We give a simple constructive proof of the result which asserts that any transitive topological Markov chain has periodic points of almost all periods, and study the structure of the finite set of positive integers that are not periods.
Keywords: transitive topological Markov chain, periodic point, almost-periodic point, minimal set.
Received: 30.12.2010
Revised: 21.11.2011
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2012, Volume 76, Issue 4, Pages 3–26
DOI: https://doi.org/10.4213/im6596
Bibliographic databases:
Document Type: Article
UDC: 517.939.5+519.142.1
MSC: Primary 60J05; Secondary 60J20
Language: English
Original paper language: Russian
Citation: S. A. Bogatyi, V. V. Redkozubov, “On almost-periodic points of a topological Markov chain”, Izv. RAN. Ser. Mat., 76:4 (2012), 3–26; Izv. Math., 76:4 (2012), 647–668
Citation in format AMSBIB
\Bibitem{BogRed12}
\by S.~A.~Bogatyi, V.~V.~Redkozubov
\paper On almost-periodic points of a~topological Markov chain
\jour Izv. RAN. Ser. Mat.
\yr 2012
\vol 76
\issue 4
\pages 3--26
\mathnet{http://mi.mathnet.ru/im6596}
\crossref{https://doi.org/10.4213/im6596}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3013268}
\zmath{https://zbmath.org/?q=an:1260.60143}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012IzMat..76..647B}
\elib{https://elibrary.ru/item.asp?id=20425214}
\transl
\jour Izv. Math.
\yr 2012
\vol 76
\issue 4
\pages 647--668
\crossref{https://doi.org/10.1070/IM2012v076n04ABEH002599}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000308069200001}
\elib{https://elibrary.ru/item.asp?id=20495383}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865203090}
Linking options:
  • https://www.mathnet.ru/eng/im6596
  • https://doi.org/10.1070/IM2012v076n04ABEH002599
  • https://www.mathnet.ru/eng/im/v76/i4/p3
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:812
    Russian version PDF:258
    English version PDF:4
    References:69
    First page:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024