Contraction in mean and transfer operators

DOI10.1080/02681110010017840zbMath0989.28008OpenAlexW2069912036MaRDI QIDQ2722663

Mark Pollicott

Publication date: 9 July 2002

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

Full work available at URL: https://doi.org/10.1080/02681110010017840

zbMATH Keywords

central limit theoremiterated function schemes

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Discrete-time Markov processes on general state spaces (60J05) Measure-preserving transformations (28D05) Fractals (28A80) Random dynamical systems (37H99)

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Central limit theorems for iterated random Lipschitz mappings. ⋮ Transfer operators for contractive Markov systems and stochastic stability of the invariant measure ⋮ Optimal transportation and stationary measures for iterated function systems ⋮ Empirical processes of iterated maps that contract on average ⋮ The algebra of harmonic functions for a matrix-valued transfer operator ⋮ Invariance principles for iterated maps that contract on average