Ergodicity of p-majorizing quadratic stochastic operators
A scrambling square stochastic matrix plays an important role in the theory of the classical Markov chain. One of the classical results states that a row-stochastic matrix is strongly ergodic if and only if its some power is a scrambling matrix. In this paper, we deal with the similar problem for a...
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2018
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my.iium.irep.647602019-10-14T01:22:28Z http://irep.iium.edu.my/64760/ Ergodicity of p-majorizing quadratic stochastic operators Saburov, Mansoor Q Science (General) A scrambling square stochastic matrix plays an important role in the theory of the classical Markov chain. One of the classical results states that a row-stochastic matrix is strongly ergodic if and only if its some power is a scrambling matrix. In this paper, we deal with the similar problem for a cubic stochastic matrix. We introduce a notion of p-majorizing quadratic stochastic operators and study the strong ergodicity of p-majorizing quadratic stochastic operators associated with scrambling, Sarymsakov, and Wolfowitz cubic stochastic matrices. © 2018 Polymat Ltd. All rights reserved. Polymat Publishing Company 2018 Article PeerReviewed application/pdf en http://irep.iium.edu.my/64760/1/64760_Ergodicity%20of%20p-majorizing%20quadratic_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/64760/7/64760_Ergodicity%20of%20p-majorizing%20quadratic_scopus.pdf Saburov, Mansoor (2018) Ergodicity of p-majorizing quadratic stochastic operators. Markov Processes and Related Fields, 24 (1). pp. 131-150. ISSN 1024-2953 http://math-mprf.org/journal/articles/2018/1/ |
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A scrambling square stochastic matrix plays an important role in the theory of the classical Markov chain. One of the classical results states that a row-stochastic matrix is strongly ergodic if and only if its some power is a scrambling matrix. In this paper, we deal with the similar problem for a cubic stochastic matrix. We introduce a notion of p-majorizing quadratic stochastic operators and study the strong ergodicity of p-majorizing quadratic stochastic operators associated with scrambling, Sarymsakov, and Wolfowitz cubic stochastic matrices. © 2018 Polymat Ltd. All rights reserved. |
format |
Article |
author |
Saburov, Mansoor |
author_facet |
Saburov, Mansoor |
author_sort |
Saburov, Mansoor |
title |
Ergodicity of p-majorizing quadratic stochastic operators |
title_short |
Ergodicity of p-majorizing quadratic stochastic operators |
title_full |
Ergodicity of p-majorizing quadratic stochastic operators |
title_fullStr |
Ergodicity of p-majorizing quadratic stochastic operators |
title_full_unstemmed |
Ergodicity of p-majorizing quadratic stochastic operators |
title_sort |
ergodicity of p-majorizing quadratic stochastic operators |
publisher |
Polymat Publishing Company |
publishDate |
2018 |
url |
http://irep.iium.edu.my/64760/1/64760_Ergodicity%20of%20p-majorizing%20quadratic_SCOPUS.pdf http://irep.iium.edu.my/64760/7/64760_Ergodicity%20of%20p-majorizing%20quadratic_scopus.pdf http://irep.iium.edu.my/64760/ http://math-mprf.org/journal/articles/2018/1/ |
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