Year: 2025
Type: article
Abstract: In this paper, we study the entropy spectrum of the center Lyapunov exponents for a class of transitive partially hyperbolic diffeomorphisms with a one-dimensional center bundle. We show that if the strong unstable foliation is minimal, then the topological entropy of the level sets defined by the negative center Lyapunov exponents varies continuously with respect to the center Lyapunov exponents, and the variational principle holds for such level sets.
Source: Scientia Sinica Mathematica
Author: Zhang Jinhua
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4407682431