Geodesic
$\mathbf{p}$-Majorizing quadratic stochastic operators
Teoriâ slučajnyh processov, Tome 22 (2017) no. 1, pp. 81-88

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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. 
@article{THSP_2017_22_1_a7,
     author = {N. A. Yusof and M. Saburov},
     title = {$\mathbf{p}${-Majorizing} quadratic stochastic operators},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {81--88},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2017_22_1_a7/}
}
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N. A. Yusof; M. Saburov. $\mathbf{p}$-Majorizing quadratic stochastic operators. Teoriâ slučajnyh processov, Tome 22 (2017) no. 1, pp. 81-88. http://geodesic.mathdoc.fr/item/THSP_2017_22_1_a7/