Entropy continuity of Lyapunov exponents for non-flat one-dimensional maps

Ergodic Theory and Dynamical Systems 2026

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Authors: HENGYI LI
DOI: 10.1017/etds.2026.10304
Cited by: 1
References: 3

Abstract

Abstract We show that the continuity property of Lyapunov exponents proved by Buzzi et al. [Continuity properties of Lyapunov exponents for surface diffeomorphisms. Invent. Math. 230 (2) (2022), 767–849] for smooth surface diffeomorphisms extends to smooth interval maps in the case when the map only has non-flat critical points and the entropies converging to the topological entropy. The result we obtained is stronger than the continuity of Lyapunov exponents, in particular, we prove the uniform integrability of Lyapunov exponents over entropies.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Chaos control and synchronization Quantum chaos and dynamical systems

Publication details

Journal / source
Ergodic Theory and Dynamical Systems
Publisher
Cambridge University Press (CUP)
Volume
46
Issue
10
Pages
2567–2586
Publication date
5 June 2026
Language
EN