Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators
Sign Up to like & getrecommendations! Published in 2019 at "Positivity"
DOI: 10.1007/s11117-019-00713-0
Abstract: In this paper the stability and the perturbation bounds of Markov operators acting on abstract state spaces are investigated. Here, an abstract state space is an ordered Banach space where the norm has an additivity… read more here.
Keywords: generalized dobrushin; markov operators; dobrushin ergodicity; ergodicity coefficient ... See more keywords
Generalized Dobrushin Coefficients on Banach Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-021-00600-z
Abstract: The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting… read more here.
Keywords: coefficients banach; banach; banach spaces; generalized dobrushin ... See more keywords