On Feldman-Katok metric and entropy formulae
Fangzhou Cai, Jie Li
TL;DR
This paper explores the Feldman-Katok metric, deriving entropy formulas using it instead of the Bowen metric, and discusses related topics in dynamical systems.
Contribution
It introduces entropy formulas based on the Feldman-Katok metric, expanding the understanding of metric-based entropy in dynamical systems.
Findings
Derived entropy formulas using Feldman-Katok metric
Compared Feldman-Katok and Bowen metrics in entropy calculations
Discussed related topics in the context of dynamical systems
Abstract
In this paper, we study the Feldman-Katok metric. We give entropy formulas by replacing Bowen metric with Feldman-Katok metric. Some relative topics are also discussed.
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 · Meromorphic and Entire Functions · Functional Equations Stability Results