Dynamics of Double Stochastic Operators

Algebra, Analysis and Quantum Probability

Saburov, Mansoor^1

Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, Pahang, Kuantan

25200, Malaysia^1

关键词: Interior point;    Periodic points;    Stochastic matrices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/697/1/012014/pdf
DOI  :  10.1088/1742-6596/697/1/012014

来源: IOP

【 摘 要 】

A double stochastic operator is a generalization of a double stochastic matrix. In this paper, we study the dynamics of double stochastic operators. We give a criterion for a regularity of a double stochastic operator in terms of absences of its periodic points. We provide some examples to insure that, in general, a trajectory of a double stochastic operator may converge to any interior point of the simplex.