Abstract
In this paper we study certain properties of Dobrushin's ergodicity coefficient for stochastic operators defined on non-associative L 1-spaces associated with semi-finite 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 coefficient. We provide a necessary and sufficient conditions for such processes to satisfy the weak ergodicity.
| Original language | English |
|---|---|
| Article number | 012002 |
| Journal | Journal of Physics: Conference Series |
| Volume | 435 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
| Event | 4th International Conference on the Advancement of Science and Technology 2012: Contemporary Mathematics, Mathematical Physics and Their Applications, iCAST 2012 - Kuantan, Malaysia Duration: Nov 7 2012 → Nov 10 2012 |
ASJC Scopus subject areas
- General Physics and Astronomy