Ergodic properties of N-continued fractions

2017/04/26 by Peng Sun, Sun, Peng
Mathematics · #11J70 #11K50 #37A45 #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1704.08281

openalex publication_date 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss some ergodic properties of the generalized Gauss transformation T_N(x)=\(N)/(x)\. We generalize a series of results for the regular continued fractions, such as Khinchin's constant and Lévy's constant.

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