The random continued fraction transformation

Charlene Kalle, Thomas Michael William Kempton, Evgeny Verbitskiy

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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.
Original languageEnglish
Number of pages23
JournalArXiv e-prints
Publication statusUnpublished - Jul 2015


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