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 language | English (US) |
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Article number | 126163 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 512 |
Issue number | 2 |
DOIs | |
State | Published - Aug 15 2022 |
Keywords
- Intermittent dynamics
- Invariant measures
- Nuclearity
- Quasi-compactness
- Random dynamics
- Transfer operator
ASJC Scopus subject areas
- Analysis
- Applied Mathematics