A criterion on asymptotic stability for partially equicontinuous Markov operators

DOI10.1016/j.spa.2017.12.006zbMath1409.60105OpenAlexW2781627551MaRDI QIDQ1615906

Dawid Czapla

Publication date: 31 October 2018

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2017.12.006

zbMATH Keywords

asymptotic stabilityinvariant measureMarkov chainiterated function systemcouplingE-property

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (5)

Equivalence of equicontinuity concepts for Markov operators derived from a Schur-like property for spaces of measures ⋮ The e-property of asymptotically stable Markov semigroups ⋮ A useful version of the central limit theorem for a general class of Markov chains ⋮ The e-property of asymptotically stable Markov–Feller operators ⋮ The Strassen invariance principle for certain non-stationary Markov–Feller chains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Markov chains and stochastic stability
• Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
• Lower bound technique in the theory of a stochastic differential equation
• Feller processes on nonlocally compact spaces
• On ergodicity of some Markov processes
• Exponential rate of convergence for some Markov operators
• Criterion on stability for Markov processes applied to a model with jumps
• Exponential mixing for stochastic PDEs: the non-additive case
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Ergodic measures of Markov semigroups with the e-property
• Constructing Metrics with the Heine-Borel Property
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• The stability of Markov operators on Polish spaces
• CONTRACTIVE MARKOV SYSTEMS
• Invariant measures for Markov operators with application to function systems
• Equicontinuity and Stability Properties of Markov Chains Arising from Iterated Function Systems on Polish Spaces
• Convergence of Baire measures

This page was built for publication: A criterion on asymptotic stability for partially equicontinuous Markov operators