Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators
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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
SPECTRAL CONDITIONS FOR UNIFORM P-ERGODICITIES OF MARKOV OPERATORS ON ABSTRACT STATES SPACES
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DOI: 10.1017/s0017089520000440
Abstract: Abstract In the present paper, we deal with asymptotical stability of Markov operators acting on abstract state spaces (i.e. an ordered Banach space, where the norm has an additivity property on the cone of positive… read more here.
Keywords: conditions uniform; operators abstract; uniform ergodicities; spectral conditions ... See more keywords
Convexity, Markov Operators, Approximation, and Related Optimization
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DOI: 10.3390/math10152775
Abstract: The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related… read more here.
Keywords: markov operators; convexity; operators approximation; related optimization ... See more keywords