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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| Format: | Article |
| Language: | English English |
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Polymat Publishing Company
2018
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| Online Access: | 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 |
| _version_ | 1848786273415725056 |
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| author | Saburov, Mansoor |
| author_facet | Saburov, Mansoor |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T17:06:25Z |
| format | Article |
| id | iium-64760 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:06:25Z |
| publishDate | 2018 |
| publisher | Polymat Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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/ |
| spellingShingle | Q Science (General) Saburov, Mansoor Ergodicity of p-majorizing quadratic stochastic operators |
| title | 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_short | Ergodicity of p-majorizing quadratic stochastic operators |
| title_sort | ergodicity of p-majorizing quadratic stochastic operators |
| topic | Q Science (General) |
| 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 |