@article{dda2a01100a44ffcadc18e9346d23865,
title = "Invariant densities for random continued fractions",
abstract = "We continue the study of random continued fraction expansions, generated by random application of the Gauss and the R{\'e}nyi backward continued fraction maps. We show that this random dynamical system admits a unique absolutely continuous invariant measure with smooth density.",
keywords = "Intermittent dynamics, Invariant measures, Nuclearity, Quasi-compactness, Random dynamics, Transfer operator",
author = "Charlene Kalle and Valentin Matache and Masato Tsujii and Evgeny Verbitskiy",
note = "Funding Information: Research of CK was partially supported by NWO Veni-grant number 639.031.140. CK and EV are grateful to Kyushu University and the World Premier International Researcher Invitation Program “Progress 100” for hospitality and support. EV is grateful to A.J.E.M. Janssen, D. Terhesiu for helpful discussions. Publisher Copyright: {\textcopyright} 2022 The Authors",
year = "2022",
month = aug,
day = "15",
doi = "10.1016/j.jmaa.2022.126163",
language = "English",
volume = "512",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "ACADEMIC PRESS INC ELSEVIER SCIENCE",
number = "2",
}