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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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/
http://irep.iium.edu.my/51136/3/51136_Dynamics_of_Double_Stochastic_Operators_SCOPUS.pdf
http://irep.iium.edu.my/51136/4/51136.pdf
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author Saburov, Mansoor
author_facet Saburov, Mansoor
author_sort Saburov, Mansoor
building IIUM Repository
collection Online Access
description 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.
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spelling iium-511362017-10-22T00:31:07Z http://irep.iium.edu.my/51136/ Dynamics of double stochastic operators Saburov, Mansoor QA Mathematics 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. Institute of Physics Publishing (UK) 2016-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51136/3/51136_Dynamics_of_Double_Stochastic_Operators_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/51136/4/51136.pdf Saburov, Mansoor (2016) Dynamics of double stochastic operators. Journal of Physics: Conference Series, 697. 012014-1-012014-8. ISSN 1742-6588 E-ISSN 1742-6596 http://iopscience.iop.org/article/10.1088/1742-6596/697/1/012014/pdf 10.1088/1742-6596/697/1/012014
spellingShingle QA Mathematics
Saburov, Mansoor
Dynamics of double stochastic operators
title Dynamics of double stochastic operators
title_full Dynamics of double stochastic operators
title_fullStr Dynamics of double stochastic operators
title_full_unstemmed Dynamics of double stochastic operators
title_short Dynamics of double stochastic operators
title_sort dynamics of double stochastic operators
topic QA Mathematics
url http://irep.iium.edu.my/51136/
http://irep.iium.edu.my/51136/
http://irep.iium.edu.my/51136/
http://irep.iium.edu.my/51136/3/51136_Dynamics_of_Double_Stochastic_Operators_SCOPUS.pdf
http://irep.iium.edu.my/51136/4/51136.pdf