Dynamics of double stochastic operators

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 th...

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Bibliographic Details
Main Author: Saburov, Mansoor
Format: Article
Language:English
English
Published: Institute of Physics Publishing (UK) 2016
Subjects:
Online Access:http://irep.iium.edu.my/51136/3/51136_Dynamics_of_Double_Stochastic_Operators_SCOPUS.pdf
http://irep.iium.edu.my/51136/4/51136.pdf
http://irep.iium.edu.my/51136/
http://iopscience.iop.org/article/10.1088/1742-6596/697/1/012014/pdf
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
English
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Summary: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.