On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras
In this paper we study certain properties of Dobrushin's ergodicity coe�cient for stochastic operators de�ned on non-associative L1-spaces associated with semi-�nite JBW- algebras. Such results extends the well-known classical ones to a non-associative setting. This allows us to investigate...
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| Format: | Article |
| Language: | English |
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Institute of Physics Publishing
2013
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| Online Access: | http://irep.iium.edu.my/30081/ http://irep.iium.edu.my/30081/1/mf-JPCS%282013%29.pdf |
| _version_ | 1848780239765766144 |
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| author | Mukhamedov, Farrukh |
| author_facet | Mukhamedov, Farrukh |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper we study certain properties of Dobrushin's ergodicity coe�cient for
stochastic operators de�ned on non-associative L1-spaces associated with semi-�nite JBW-
algebras. Such results extends the well-known classical ones to a non-associative setting. This
allows us to investigate the weak ergodicity of nonhomogeneous discrete Markov processes
(NDMP) by means of the ergodicity coe�cient. We provide a necessary and su�cient conditions
for such processes to satisfy the weak ergodicity. |
| first_indexed | 2025-11-14T15:30:31Z |
| format | Article |
| id | iium-30081 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:30:31Z |
| publishDate | 2013 |
| publisher | Institute of Physics Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-300812013-06-27T14:09:38Z http://irep.iium.edu.my/30081/ On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras Mukhamedov, Farrukh QA Mathematics In this paper we study certain properties of Dobrushin's ergodicity coe�cient for stochastic operators de�ned on non-associative L1-spaces associated with semi-�nite JBW- algebras. Such results extends the well-known classical ones to a non-associative setting. This allows us to investigate the weak ergodicity of nonhomogeneous discrete Markov processes (NDMP) by means of the ergodicity coe�cient. We provide a necessary and su�cient conditions for such processes to satisfy the weak ergodicity. Institute of Physics Publishing 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30081/1/mf-JPCS%282013%29.pdf Mukhamedov, Farrukh (2013) On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras. Journal of Physics: Conference Series, 435. 012002. ISSN 1742-6588 http://dx.doi.org/10.1088/1742-6596/435/1/012002 doi:10.1088/1742-6596/435/1/012002 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras |
| title | On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras |
| title_full | On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras |
| title_fullStr | On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras |
| title_full_unstemmed | On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras |
| title_short | On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras |
| title_sort | on dobrushin ergodicity coefficient and weak ergodicity of markov chains on jordan algebras |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/30081/ http://irep.iium.edu.my/30081/ http://irep.iium.edu.my/30081/ http://irep.iium.edu.my/30081/1/mf-JPCS%282013%29.pdf |