Uniform ergodicity of nonlinear Markov operators: Dobrushin’s ergodicity coefficient for hypermatrices
Dobrushin's ergodicity coefficient for a stochastic matrix characterizes the contraction rate of a linear Markov operator acting on a space of probability distributions equipped with the total variation norm. In this paper, we introduce Dobrushin's ergodicity coefficient for a stochastic h...
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| Format: | Article |
| Language: | English |
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Academy of Sciences, Republic of Uzbekistan
2016
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| Online Access: | http://irep.iium.edu.my/52114/ http://irep.iium.edu.my/52114/1/Ergodic%20Coefficient%20---%20DANRUz.pdf |
| _version_ | 1848783999798870016 |
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| author | Saburov, Mansoor |
| author_facet | Saburov, Mansoor |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| description | Dobrushin's ergodicity coefficient for a stochastic matrix characterizes the contraction rate of a linear Markov operator acting on a space of probability distributions equipped with the total variation norm. In this paper, we introduce Dobrushin's ergodicity coefficient for a stochastic hypermatrix which enables to provide a sufficient condition for the uniform ergodicity of nonlinear Markov operators defined by stochastic hypermatrices. |
| first_indexed | 2025-11-14T16:30:17Z |
| format | Article |
| id | iium-52114 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:30:17Z |
| publishDate | 2016 |
| publisher | Academy of Sciences, Republic of Uzbekistan |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-521142018-05-23T02:16:30Z http://irep.iium.edu.my/52114/ Uniform ergodicity of nonlinear Markov operators: Dobrushin’s ergodicity coefficient for hypermatrices Saburov, Mansoor QA Mathematics Dobrushin's ergodicity coefficient for a stochastic matrix characterizes the contraction rate of a linear Markov operator acting on a space of probability distributions equipped with the total variation norm. In this paper, we introduce Dobrushin's ergodicity coefficient for a stochastic hypermatrix which enables to provide a sufficient condition for the uniform ergodicity of nonlinear Markov operators defined by stochastic hypermatrices. Academy of Sciences, Republic of Uzbekistan 2016-04-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/52114/1/Ergodic%20Coefficient%20---%20DANRUz.pdf Saburov, Mansoor (2016) Uniform ergodicity of nonlinear Markov operators: Dobrushin’s ergodicity coefficient for hypermatrices. Doklady Uzbek Academy of Science, 2. pp. 5-7. |
| spellingShingle | QA Mathematics Saburov, Mansoor Uniform ergodicity of nonlinear Markov operators: Dobrushin’s ergodicity coefficient for hypermatrices |
| title | Uniform ergodicity of nonlinear Markov operators:
Dobrushin’s ergodicity coefficient for hypermatrices |
| title_full | Uniform ergodicity of nonlinear Markov operators:
Dobrushin’s ergodicity coefficient for hypermatrices |
| title_fullStr | Uniform ergodicity of nonlinear Markov operators:
Dobrushin’s ergodicity coefficient for hypermatrices |
| title_full_unstemmed | Uniform ergodicity of nonlinear Markov operators:
Dobrushin’s ergodicity coefficient for hypermatrices |
| title_short | Uniform ergodicity of nonlinear Markov operators:
Dobrushin’s ergodicity coefficient for hypermatrices |
| title_sort | uniform ergodicity of nonlinear markov operators:
dobrushin’s ergodicity coefficient for hypermatrices |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/52114/ http://irep.iium.edu.my/52114/1/Ergodic%20Coefficient%20---%20DANRUz.pdf |