4 papers
On Non-Wandering Sets with Non-empty Interior for Endomorphisms
J. Santana C. Costa, F. Micena
In this paper, we study transitivity for endomorphisms. Our results are related to a conjecture of F. Abdenur, C. Bonatti and L. DÃaz, concerning the relationship between transiti…
A generalized Livšic--Sinai Theorem for endomorphisms
J. Santana C. Costa, F. Micena
The classical theorem of LivÅ¡ic and Sinai states that a transitive Anosov diffeomorphism whose Jacobian along every periodic orbit equals one admits an invariant volume form…
Measures of maximal entropy that are SRB
Fernando Micena, Ryo Moore, Jana Rodriguez Hertz +1
A smooth conservative DA-diffeomorphism is smoothly conjugated to its Anosov linear part if and only if all Lyapunov exponents coincide almost everywhere with those of its linear p…
On the Ergodicity of Rotation Extensions of Hyperbolic Endomorphisms
Fernando Micena, Raúl Ures
We study the ergodicity of partially hyperbolic endomorphisms, focusing on skew products where the base dynamics are governed by Anosov endomorphisms. For this family, we establish…