p-majorizing quadratic stochastic operators

M. Saburov, N. A. Yusof
Theory of Stochastic Processes
Vol.22 (38), no.1, 2017, pp.81-88
In this paper, we introduce a new class of the so-called 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 p-majorizing quadratic stochastic operators acting on 2D simplex. Some relevant examples are also provided.