Theory of Stochastic Processes
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Theory Stoch. Process.:
Year:
Volume:
Issue:
Page:
Find




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

Theory of Stochastic Processes, 2017, Volume 22(38), Issue 1, Pages 81–88 (Mi thsp173)  
$\mathbf{p}$-Majorizing quadratic stochastic operators

N. A. Yusof, M. Saburov

Faculty of Science, International Islamic University Malaysia, 25200 Kuantan, Pahang, Malaysia
Full-text PDF (304 kB)
References:
PDF
HTML
Abstract: In this paper, we introduce a new class of the so-called $\mathbf{p}$-majorizing quadratic stochastic operators which is the generalization of the class of quadratic doubly stochastic operators. We provide a criterion for the regularity of $\mathbf{p}$-majorizing quadratic stochastic operators acting on 2D simplex. Some relevant examples are also provided.
Keywords: Quadratic stochastic operator, $\mathbf{p}$-majorization, cubic stochastic matrix.
Funding agency Grant number
Ministry of Higher Education, Malaysia FRGS14-141-0382
This work has been supported by MOHE grant FRGS14-141-0382. The first Author (M.S.) is also grateful to the Junior Associate scheme of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy. The Authors are also greatly indebted to anonymous reviewer for several useful comments which improved the presentation of the paper.
Bibliographic databases:
Document Type: Article
MSC: 47H60; 47H25; 37C75
Language: English
Citation: N. A. Yusof, M. Saburov, “$\mathbf{p}$-Majorizing quadratic stochastic operators”, Theory Stoch. Process., 22(38):1 (2017), 81–88
Citation in format AMSBIB
\Bibitem{YusSab17}
\by N.~A.~Yusof, M.~Saburov
\paper $\mathbf{p}$-Majorizing quadratic stochastic operators
\jour Theory Stoch. Process.
\yr 2017
\vol 22(38)
\issue 1
\pages 81--88
\mathnet{http://mi.mathnet.ru/thsp173}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3742391}
\zmath{https://zbmath.org/?q=an:1399.47151}
Linking options:
  • https://www.mathnet.ru/eng/thsp173
  • https://www.mathnet.ru/eng/thsp/v22/i1/p81
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Theory of Stochastic Processes
    Statistics & downloads:
    Abstract page:157
    Full-text PDF :55
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024