6 papers
Lyapunov spectrum of homoclinic classes
Lorenzo J. DÃaz, Katrin Gelfert, Xiaodong Wang +1
We study the Lyapunov spectrum of the ergodic measures of isolated homoclinic classes of -generic diffeomorphisms. We show that this spectrum has nonempty interior and that an…
Denseness of zero entropy aperiodic ergodic measures
Camila Crispin, Lorenzo J. DÃaz
We study partially hyperbolic homoclinic classes of -generic diffeomorphisms with a one-dimensional central bundle, so that the central Lyapunov exponent is well de…
Robust heterodimensional cycles of co-index two via split blending machines
Pablo G. Barrientos, Lorenzo J. DÃaz, Yuri Ki +2
We consider diffeomorphisms with heterodimensional cycles of co-index two, associated with saddles and having unstable indices and , respectively. In a p…
Full flexibility of entropies among ergodic measures for partially hyperbolic diffeomorphisms
Lorenzo J. DÃaz, 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. DÃaz, 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. DÃaz, 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…