13 papers · 1 filter
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. Díaz, concerning the relationship between transitiv…
A generalized Livšic--Sinai Theorem for endomorphisms
J. Santana C. Costa, F. Micena
The classical theorem of Livšic and Sinai states that a transitive Anosov diffeomorphism whose Jacobian along every periodic orbit equals one admits an invariant volume form.…
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…
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 Lyapunov exponents properties of special Anosov endomorphisms on
José Santana Costa, Fernando Micena
This work is addressed to study Anosov endomorphisms of We are interested to obtain metric and topological information on such Anosov endomorphism by com…
A relation between entropy and transitivity of Anosov diffeomorphisms
F. Micena
It is known that transitive Anosov diffeomorphisms have a unique measure of maximal entropy (MME). Here we discuss the converse question. Under suitable hypothesis on Lyapunov expo…