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2021 On the Ergodic Theory of Tanaka–Ito Type $\alpha$-continued Fractions
Hitoshi NAKADA, Wolfgang STEINER
Tokyo J. Math. Advance Publication 1-15 (2021). DOI: 10.3836/tjm/1502179343

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.

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Hitoshi NAKADA. Wolfgang STEINER. "On the Ergodic Theory of Tanaka–Ito Type $\alpha$-continued Fractions." Tokyo J. Math. Advance Publication 1 - 15, 2021. https://doi.org/10.3836/tjm/1502179343

Information

Published: 2021
First available in Project Euclid: 26 August 2021

Digital Object Identifier: 10.3836/tjm/1502179343

Subjects:
Primary: 11K50
Secondary: 11J70

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

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