Equicontinuity and Stability Properties of Markov Chains Arising from Iterated Function Systems on Polish Spaces

DOI10.1080/07362994.2013.836716zbMath1338.60178OpenAlexW2008148878MaRDI QIDQ5416833

Dawid Czapla, Katarzyna Horbacz

Publication date: 15 May 2014

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

Full work available at URL: https://doi.org/10.1080/07362994.2013.836716

zbMATH Keywords

asymptotic stabilityinvariant measureiterated function systemsequicontinuityE-propertyMarkov chains: Markov-Feller operator

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Stability theory for smooth dynamical systems (37C75)

Related Items (max. 100)

A criterion on asymptotic stability for partially equicontinuous Markov operators ⋮ Equivalence of equicontinuity concepts for Markov operators derived from a Schur-like property for spaces of measures ⋮ Equicontinuous families of Markov operators in view of asymptotic stability ⋮ The e-property of asymptotically stable Markov semigroups ⋮ The e-property of asymptotically stable Markov–Feller operators

Cites Work

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• Feller processes on nonlocally compact spaces
• Dimension of measures invariant with respect to the Ważewska partial differential equation.
• Fixed points of asymptotic contractions
• A criterion of asymptotic stability for Markov–Feller e-chains on Polish spaces
• Ergodic measures of Markov semigroups with the e-property
• CONTRACTIVE MARKOV SYSTEMS
• Invariant measures for Markov operators with application to function systems
• Invariant measures for random dynamical systems
• A note on a theorem of Karlin

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