José Vieitez

N-expansive homeomorphisms on surfaces.

In this paper we study N-expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless surface M with non-wandering set Ω(f) being the whole of M then f is expansive. This condition on the non-wandering set cannot be relaxed: we present an example of a 2-expansive homeomorphisms on a surface with genus 2 with wandering points that is not expansive.

Robustly expansive codimension-one homoclinic classes are hyperbolic

We shall prove that C 1 -robustly expansive codimension-one homoclinic classes are hyperbolic.

Lyapunov functions and expansive diffeomorphisms on 3D-manifolds

L etM be a three-dimensional compact connected oriented manifold and f : M → M an expansive diffeomorphism. We prove that non-wandering points have local stable or unstable sets locally separating M. This property allows us to prove that if �(f ) = M then f is conjugate to a linear Anosov diffeomorphism and M = T 3 ,t he

On measure expansive diffeomorphisms

Let

Robustly expansive homoclinic classes

f: M \to M

On C 1 -Persistently Expansive Homoclinic Classes

be a diffeomorphism defined on a compact boundaryless

Entropy-Expansiveness and Domination for Surface Diffeomorphisms

d

Entropy-expansiveness for partially hyperbolic diffeomorphisms

-dimensional manifold

Robustly expansive homoclinic classes are generically hyperbolic

M

Expansive homeomorphisms and hyperbolic diffeomorphisms on 3-manifolds

,