Exponential convergence for Markov systems

DOI10.1515/amsil-2015-0011zbMath1369.60051OpenAlexW2217185185MaRDI QIDQ2363630

Maciej Ślȩczka

Publication date: 25 July 2017

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amsil-2015-0011

zbMATH Keywords

invariant measureMarkov operatorexponential convergence

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Ergodicity, mixing, rates of mixing (37A25)

Related Items (4)

Random iteration with place dependent probabilities ⋮ A useful version of the central limit theorem for a general class of Markov chains ⋮ Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling ⋮ The Strassen invariance principle for certain non-stationary Markov–Feller chains

Cites Work

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• Law of large numbers for random dynamical systems
• Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
• Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
• Exponential mixing properties of stochastic PDEs through asymptotic coupling
• Exponential rate of convergence for some Markov operators
• The rate of convergence for iterated function systems
• Irreducible Markov systems on Polish spaces
• Hausdorff Dimension in Graph Directed Constructions
• Ergodic theorem for contractive Markov systems
• CONTRACTIVE MARKOV SYSTEMS
• Random iteration with place dependent probabilities

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