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/ http://irep.iium.edu.my/30081/ http://irep.iium.edu.my/30081/1/mf-JPCS%282013%29.pdf |
| Summary: | 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. |
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