Diskretnaya Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Diskretnaya Matematika, 2015, Volume 27, Issue 3, Pages 17–24
DOI: https://doi.org/10.4213/dm1332 (Mi dm1332) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Markov chain with number-theoretic limit distribution

Andrey M. Zubkov, Kseniya A. Kolesnikova

Steklov Mathematical Institute of RAS
Full-text PDF (446 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/dm1332
Abstract: Let an urn contain balls of white and black colors. After each step with probabilities equal to $\frac12$ either the number of white balls is increased by the number of black balls or the number of black balls is increased by the number of white balls. Formulas for the first two moments of the total number of balls in an urn are derived and it is shown that the limiting distribution function of the proportion of the number of white balls in an urn coincides with the Minkowski number-theoretic function. \def\acknowledgementname{Funding
Keywords: discrete Markov chains, iterations of random mappings, limit distributions, Minkowski function.
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: 17.04.2015
English version:
Discrete Mathematics and Applications, 2016, Volume 26, Issue 2, Pages 125–130
DOI: https://doi.org/10.1515/dma-2016-0010
Bibliographic databases:
Document Type: Article
UDC: 519.212.2+519.217.2
Language: Russian
Citation: Andrey M. Zubkov, Kseniya A. Kolesnikova, “A Markov chain with number-theoretic limit distribution”, Diskr. Mat., 27:3 (2015), 17–24; Discrete Math. Appl., 26:2 (2016), 125–130
Citation in format AMSBIB
\Bibitem{ZubKol15}
\by Andrey M. Zubkov, Kseniya A. Kolesnikova
\paper A Markov chain with number-theoretic limit distribution
\jour Diskr. Mat.
\yr 2015
\vol 27
\issue 3
\pages 17--24
\mathnet{http://mi.mathnet.ru/dm1332}
\crossref{https://doi.org/10.4213/dm1332}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468398}
\zmath{https://zbmath.org/?q=an:06626631}
\elib{https://elibrary.ru/item.asp?id=24849925}
\transl
\jour Discrete Math. Appl.
\yr 2016
\vol 26
\issue 2
\pages 125--130
\crossref{https://doi.org/10.1515/dma-2016-0010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000375870900005}
\elib{https://elibrary.ru/item.asp?id=27160204}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84968830402}
Linking options:
  • https://www.mathnet.ru/eng/dm1332
  • https://doi.org/10.4213/dm1332
  • https://www.mathnet.ru/eng/dm/v27/i3/p17
    • 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
    		Дискретная математика
    Statistics & downloads:
    Abstract page:603
    Full-text PDF :177
    References:60
    First page:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024