4 papers
Full flexibility of entropies among ergodic measures for partially hyperbolic diffeomorphisms
Lorenzo J. Díaz, Katrin Gelfert, Michal Rams +1
We study nonhyperbolic and transitive partially hyperbolic diffeomorphisms having a one-dimensional center. We prove joint flexibility with respect to entropy and center Lyapunov e…
A Conservative Partially Hyperbolic Dichotomy: Hyperbolicity versus Nonhyperbolic Measures
Lorenzo J. Díaz, Jiagang Yang, Jinhua Zhang
In a conservative and partially hyperbolic three-dimensional setting, we study three representative classes of diffeomorphisms: those homotopic to Anosov (or Derived from Anosov di…
The amount of nonhyperbolicity for partially hyperbolic diffeomorphisms
Lorenzo J. Díaz, Katrin Gelfert, Jinhua Zhang
We study the amount of nonhyperbolicity within a broad class of (nonhyperbolic) partially hyperbolic diffeomorphisms with a one-dimensional center. For that, we focus on the center…
Entropy properties of mostly expanding partially hyperbolic diffeomorphisms
Jinhua Zhang
The statistical properties of mostly expanding partially hyperbolic diffeomorphisms have been substantially studied. In this paper, we would like to address the entropy properties…