Ergodic properties of N-continued fractions
Peng Sun
TL;DR
This paper investigates the ergodic properties of N-continued fractions, extending classical results like Khinchin's and Lévy's constants to a generalized Gauss transformation.
Contribution
It generalizes key ergodic and number theoretic results from regular continued fractions to N-continued fractions using the transformation T_N.
Findings
Generalization of Khinchin's constant for N-continued fractions
Extension of Lévy's constant to the generalized setting
Analysis of ergodic properties of the transformation T_N
Abstract
We discuss some ergodic properties of the generalized Gauss transformation We generalize a series of results for the regular continued fractions, such as Khinchin's constant and L\'evy's constant.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals · Mathematical and Theoretical Analysis · Fractional Differential Equations Solutions