部分双曲系统的中心 Lyapunov 指数的熵谱

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.