6 papers
Absolutely partially hyperbolic surface endomorphisms are dynamically coherent
M. Andersson, W. Ranter
We show that if an endomorphism is absolutely partially hyperbolic, then it has a center foliation. Moreover, the center foliation is leaf conjuga…
Partially hyperbolic endomorphisms with expanding linear part
M. Andersson, W. Ranter
In this paper we study transitivity of partially hyperbolic endomorphisms of the two torus whose action in the first homology has two integer eigenvalues of moduli greater than one…
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…
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…
Transitive endomorphisms with critical points
Wagner Ranter
We show that a non-wandering endomorphism of the torus with invertible linear part without invariant directions and for which the critical points are in some sense generic is trans…