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math.DS2025
Robust heterodimensional cycles of co-index two via split blending machines
Pablo G. Barrientos, Lorenzo J. Díaz, 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…
math.DS2025
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…
math.DS2025
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…