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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| 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/ http://irep.iium.edu.my/30081/ http://irep.iium.edu.my/30081/1/mf-JPCS%282013%29.pdf |
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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 |
| 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 Mukhamedov, Farrukh On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras |
| 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. |
| format |
Article |
| author |
Mukhamedov, Farrukh |
| author_facet |
Mukhamedov, Farrukh |
| author_sort |
Mukhamedov, Farrukh |
| title |
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_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_sort |
on dobrushin ergodicity coefficient and weak ergodicity of markov chains on jordan algebras |
| publisher |
Institute of Physics Publishing |
| publishDate |
2013 |
| 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 |
| first_indexed |
2023-09-18T20:44:10Z |
| last_indexed |
2023-09-18T20:44:10Z |
| _version_ |
1777409563327201280 |