Transfer operators for contractive Markov systems and stochastic stability of the invariant measure

DOI10.1080/14689367.2012.739598zbMath1275.37014OpenAlexW1966050679MaRDI QIDQ5298827

Charles Walkden

Publication date: 24 June 2013

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2012.739598

zbMATH Keywords

stochastic stabilitytransfer operatorMarkov system

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• Contractive Markov system with constant probabilities
• Central limit theorems for iterated random Lipschitz mappings.
• Contraction in mean and transfer operators
• Invariance principles for iterated maps that contract on average
• An ergodic theorem for iterated maps
• Iterated Random Functions
• Ergodic theorem for contractive Markov systems
• CONTRACTIVE MARKOV SYSTEMS
• Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness

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