The stability of Markov operators on Polish spaces

DOI10.4064/sm-143-2-145-152zbMath0964.60071OpenAlexW1005610704MaRDI QIDQ4523085

Tomasz Szarek

Publication date: 7 January 2001

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216813

zbMATH Keywords

asymptotic stabilityMarkov operators

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18)

Related Items (12)

A criterion on asymptotic stability for partially equicontinuous Markov operators ⋮ Strong unique ergodicity of random dynamical systems on Polish spaces ⋮ Feller processes on nonlocally compact spaces ⋮ Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base ⋮ A class of iterated function systems with adapted piecewise constant transition probabilities: asymptotic stability and Hausdorff dimension of the invariant measure ⋮ Relation between the eventual continuity and the e-property for Markov-Feller semigroups ⋮ Some criteria for the existence of invariant measures and asymptotic stability for random dynamical systems on polish spaces ⋮ Ergodicity and stability of a dynamical system perturbed by impulsive random interventions ⋮ The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains ⋮ Continuous random dynamical systems ⋮ Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations ⋮ Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base

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