The random continued fraction transformation
C Kalle, T Kempton, E Verbitskiy - Nonlinearity, 2017 - iopscience.iop.org
C Kalle, T Kempton, E Verbitskiy
Nonlinearity, 2017•iopscience.iop.orgWe 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.
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.
Abstract
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.
iopscience.iop.org
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