26 citations · 51 across the 9 of their papers we have counts for
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math.DS2018
Robust existence of nonhyperbolic ergodic measures with positive entropy and full support
Christian Bonatti, Lorenzo J. Díaz, Dominik Kwietniak
We prove that for some manifolds the set of robustly transitive partially hyperbolic diffeomorphisms of with one-dimensional nonhyperbolic centre direction contains a …
math.DS2018
Non-hyperbolic Iterated Function Systems: semifractals and the chaos game
Lorenzo J. Díaz, Edgar Matias
We consider iterated functions systems (IFS) on compact metric spaces and introduce the concept of target sets. Such sets have very rich dynamical properties and play a similar rol…
math.DS2018
Blender-horseshoes in center-unstable Hénon-like families
Lorenzo J. Díaz, Sebastián A. Pérez
A blender-horseshoe is a locally maximal transitive hyperbolic set that appears in dimension at least three carrying a distinctive geometrical property: its local stable manifold "…