On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5537/30081
Uncontrolled Keywords:	Dobrushin Ergodicity Coefficient, ergodicity, Markov Chains,Jordan Algebras
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	27 Jun 2013 22:09
Last Modified:	27 Jun 2013 22:09
URI:	http://irep.iium.edu.my/id/eprint/30081

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