The random continued fraction transformation

Charlene Kalle; Thomas Michael William Kempton; Evgeny Verbitskiy

The random continued fraction transformation

Charlene Kalle, Thomas Michael William Kempton, Evgeny Verbitskiy

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Number of pages	23
Journal	ArXiv e-prints
Publication status	Unpublished - Jul 2015

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1507.05782v1Accepted author manuscript, 265 KB

http://arxiv.org/abs/1507.05782v1

Non-conformal repellers: Fractal and multifractal structure of non-conformal repellers
Falconer, K. J. (PI)
EPSRC
13/01/14 → 12/01/17
Project: Standard

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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. ",

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AU - Kempton, Thomas Michael William

AU - Verbitskiy, Evgeny

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The random continued fraction transformation

Abstract

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Non-conformal repellers: Fractal and multifractal structure of non-conformal repellers

Cite this