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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Main Author: Saburov, Mansoor
Format: Article
Language:English
English
Published: Polymat Publishing Company 2018
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Online Access: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
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spelling 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/
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
English
topic Q Science (General)
spellingShingle Q Science (General)
Saburov, Mansoor
Ergodicity of p-majorizing quadratic stochastic operators
description 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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score 13.211869