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.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 2013|
|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
- Physics and Astronomy(all)