On the ergodic theory of Tanaka-Ito type alpha-continued fractions

2020/03/11 by Hitoshi Nakada, Nakada, Hitoshi, Wolfgang Steiner +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Caveolin-1 and cellular processes #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2003.05180

openalex publication_date 2020/03/11 · openalex created_date 2020/03/23 · openalex updated_date 2026/07/28

Abstract

We show the ergodicity of Tanaka-Ito type α-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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• Products of exact dynamical systems and Lorentzian continued fractions

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