36 citations · 174 across the 15 of their papers we have counts for
19 papers
Nontransverse heterodimensional cycles: stabilisation and robust tangencies
Lorenzo J. Díaz, Sebastián A. Pérez
We consider three-dimensional diffeomorphisms having simultaneously heterodimensional cycles and heterodimensional tangencies associated to saddle-foci. These cycles lead to a comp…
Hénon-like families and blender-horseshoes at non-transverse heterodimensional cycles
Lorenzo J. Díaz, Sebastián A. Pérez
In dimension three and under certain regularity assumptions, we construct a renormalisation scheme at the heterodimensional tangency of a non-transverse heterodimensional cycle ass…
Weak* and entropy approximation of nonhyperbolic measures: a geometrical approach
Lorenzo J. Díaz, Katrin Gelfert, Bruno Santiago
We study -robustly transitive and nonhyperbolic diffeomorphisms having a partially hyperbolic splitting with one-dimensional central bundle whose strong un-/stable foliations…
Attracting graphs of skew products with non-contracting fiber maps
Lorenzo J. Díaz, Edgar Matias
We study attracting graphs of step skew products from the topological and ergodic points of view where the usual contracting-like assumptions of the fiber dynamics are replaced by…
A criterion for zero averages and full support of ergodic measures
Christian Bonatti, Lorenzo J. Diaz, Jairo Bochi
Consider a homeomorphism defined on a compact metric space and a continuous map . We provide an abstract criterion, called \emph{control at any sc…
Nonhyperbolic step skew-products: Ergodic approximation
L. J. Diaz, K. Gelfert, M. Rams
We study transitive step skew-product maps modeled over a complete shift of , , symbols whose fiber maps are defined on the circle and have intermingled contracting and e…