The random continued fraction transformation

Research output: Contribution to journalArticle

  • Authors:
  • Charlene Kalle
  • Thomas Kempton
  • Evgeny Verbitskiy


We introduce a random dynamical system related to continued fraction expansions. It uses random combinations of the Gauss map and the Rényi (or backwards) continued fraction map. We explore the continued fraction expansions that this system produces, as well as the dynamical properties of the system.

Bibliographical metadata

Original languageEnglish
Pages (from-to)1182-1203
Number of pages22
Issue number3
StatePublished - 7 Feb 2017