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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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 |
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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. |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Saburov, Mansoor Uniform ergodicity of nonlinear Markov operators: Dobrushin’s ergodicity coefficient for hypermatrices |
| 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. |
| format |
Article |
| author |
Saburov, Mansoor |
| author_facet |
Saburov, Mansoor |
| author_sort |
Saburov, Mansoor |
| title |
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_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_sort |
uniform ergodicity of nonlinear markov operators:
dobrushin’s ergodicity coefficient for hypermatrices |
| publisher |
Academy of Sciences, Republic of Uzbekistan |
| publishDate |
2016 |
| url |
http://irep.iium.edu.my/52114/ http://irep.iium.edu.my/52114/1/Ergodic%20Coefficient%20---%20DANRUz.pdf |
| first_indexed |
2023-09-18T21:13:53Z |
| last_indexed |
2023-09-18T21:13:53Z |
| _version_ |
1777411433504440320 |