Invariant densities for random continued fractions
Dynamical Systems
2021-10-13 v1
Abstract
We continue the study of random continued fraction expansions, generated by random application of the Gauss and the R\'enyi backward continued fraction maps. We show that this random dynamical system admits a unique absolutely continuous invariant measure with smooth density.
Cite
@article{arxiv.2110.05786,
title = {Invariant densities for random continued fractions},
author = {Charlene Kalle and Valentin Matache and Masato Tsujii and Evgeny Verbitskiy},
journal= {arXiv preprint arXiv:2110.05786},
year = {2021}
}