3 papers
math.DS2025
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…
math.DS2024
Heterodimensional cycles of hyperbolic ergodic measures
Christian Bonatti, Lorenzo J. Diaz, Katrin Gelfert
We introduce the concept of a heterodimensional cycle of hyperbolic ergodic measures and a special type of them that we call rich. Within a partially hyperbolic context, we prove t…
math.DS2024
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…