The random continued fraction transformation
Abstract
We introduce a random dynamical system related to continued fraction expansions. It uses random combination of the Gauss map and the R\'enyi (or backwards) continued fraction map. We explore the continued fraction expansions that this system produces as well as the dynamical properties of the system.
Citation
Kalle , C , Kempton , T M W & Verbitskiy , E 2015 , ' The random continued fraction transformation ' , ArXiv e-prints . < http://arxiv.org/abs/1507.05782v1 >
Publication
ArXiv e-prints
Status
Peer reviewed
Type
Journal article
Collections
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