Invariant densities for random continued fractions

Charlene Kalle, Valentin Matache, Masato Tsujii, Evgeny Verbitskiy

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    We continue the study of random continued fraction expansions, generated by random application of the Gauss and the Rényi backward continued fraction maps. We show that this random dynamical system admits a unique absolutely continuous invariant measure with smooth density.

    Original languageEnglish
    Article number126163
    JournalJournal of Mathematical Analysis and Applications
    Volume512
    Issue number2
    DOIs
    Publication statusPublished - Aug 15 2022

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Applied Mathematics

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