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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
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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.
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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}
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