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
Subjects:	Q Science (General)
Online Access:	http://irep.iium.edu.my/64760/ http://irep.iium.edu.my/64760/ 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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recordtype	eprints
spelling	iium-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/
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
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/ http://irep.iium.edu.my/64760/ 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
first_indexed	2023-09-18T21:31:54Z
last_indexed	2023-09-18T21:31:54Z
_version_	1777412567118905344

Ergodicity of p-majorizing quadratic stochastic operators

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