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

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We consider contractive Markov systems, a generalization due to Werner of iterated function systems that contract on average. We study a transfer operator for such systems and determine an appropriate function space on which this operator acts quasi-compactly and has good spectral perturbation properties. We discuss how these results apply to the stochastic stability of the invariant measure. © 2013 Copyright Taylor and Francis Group, LLC.
    Original languageEnglish
    Pages (from-to)34-47
    Number of pages13
    JournalDynamical Systems: an international journal
    Volume28
    Issue number1
    DOIs
    Publication statusPublished - 1 Mar 2013

    Keywords

    • contractive Markov systems
    • iterated function schemes
    • stochastic stability
    • transfer operators

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