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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Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
Published: 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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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
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
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