On the ergodic theory of Tanaka-Ito type alpha-continued fractions
Dynamical Systems
2020-03-12 v1 Number Theory
Abstract
We show the ergodicity of Tanaka-Ito type -continued fraction maps and construct their natural extensions. We also discuss the relation between entropy and the size of the natural extension domain.
Cite
@article{arxiv.2003.05180,
title = {On the ergodic theory of Tanaka-Ito type alpha-continued fractions},
author = {Hitoshi Nakada and Wolfgang Steiner},
journal= {arXiv preprint arXiv:2003.05180},
year = {2020}
}