7 citations · 16 across the 7 of their papers we have counts for
8 papers
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…
Robust transitivity and domination for endomorphisms displaying critical points
C. Lizana, R. Potrie, E. R. Pujals +1
We show that robustly transitive endomorphisms of a closed manifolds must have a non-trivial dominated splitting or be a local diffeomorphism. This allows to get some topological o…
Invariance of entropy for maps isotopic to Anosov
Pablo D. Carrasco, Cristina Lizana, Enrique Pujals +1
We prove the topological entropy remains constant inside the class of partially hyperbolic diffeomorphisms of with simple central bundle (that is, when it decomposes…
New classes of robustly transitive maps with persistent critical points
Cristina Lizana, Wagner Ranter
We exhibit a new large class of open examples of robustly transitive maps displaying persistent critical points in the homotopy class of expanding endomorphisms acting on the…
Topological obstructions for robustly transitive endomorphisms on surfaces
C. Lizana, W. Ranter
We address the problem of necessary conditions and topological obstructions for the existence of robustly transitive maps on surfaces. Concretely, we show that partial hyperbolicit…
Robust transitivity for endomorphisms admitting critical points
Jorge Iglesias, Cristina Lizana, Aldo Portela
We address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets. We exhibit different typ…
Contribution to the ergodic theory of robustly transitive maps
Cristina Lizana, Vilton Pinheiro, Paulo Varandas
In this article we intend to contribute in the understanding of the ergodic properties of the set RT of robustly transitive local diffeomorphisms on a compact manifold M without bo…
Robust Transitivity for Endomorphisms
Cristina Lizana, Enrique Pujals
We address the problem about under what conditions an endomorphism having a dense orbit, verifies that a sufficiently close perturbed map also exhibits a dense orbit. In this direc…