Invariant densities for random continued fractions

Charlene Kalle, Valentin Matache, Masato Tsujii, Evgeny Verbitskiy

Research output: Contribution to journalArticlepeer-review

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 (US)
Article number126163
JournalJournal of Mathematical Analysis and Applications
Volume512
Issue number2
DOIs
StatePublished - Aug 15 2022

Keywords

  • Intermittent dynamics
  • Invariant measures
  • Nuclearity
  • Quasi-compactness
  • Random dynamics
  • Transfer operator

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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