Abstract
We show the ergodicity of Tanaka–Ito type $\alpha$-continued fraction maps and construct their natural extensions. We also discuss the relation between entropy and the size of the natural extension domain.
Citation
Hitoshi NAKADA. Wolfgang STEINER. "On the Ergodic Theory of Tanaka–Ito Type $\alpha$-continued Fractions." Tokyo J. Math. 44 (2) 451 - 465, December 2021. https://doi.org/10.3836/tjm/1502179343
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