12 citations · 13 across the 17 of their papers we have counts for
18 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. 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…
On Measurable Properties of Anosov Endomorphisms of Torus
F. Micena
We found a dichotomy involving the unstable Lyapunov exponent of a special Anosov endomorphism of the torus induced by the conjugacy with the linearization. In fact, either every u…
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…
Some sufficient conditions for transitivity of Anosov diffeomorphisms
F. Micena
Given a - Anosov diffemorphism we prove that the jacobian condition for every point such that implies transitivity. As a…
Some Generic Properties of Partially Hyperbolic Endomorphisms
F. Micena, J. S. C. Costa
In this work, we deal with a notion of partially hyperbolic endomorphism. We explore topological properties of this definition and we obtain, among other results, obstructions to g…
Constant periodic data and entropy of Anosov diffeomorphisms
Fernando Micena
We study the effects that the constant periodic data condition have on topological entropy of Anosov diffeomorphisms. Under constant periodic data condition we prove that Anosov di…
Rigidity for Some Cases of Anosov Endomorphisms of Torus
Fernando Micena
We obtain smooth conjugacy between non-necessarily special Anosov endomorphisms in the conservative case. Among other results, we prove that a strongly special Anosov…
Lyapunov exponents everywhere and rigidity
Fernando Micena, Rafael de la Llave
In the present work we obtain rigidity results analysing the set of regular points, in the sense of Oseledec's Theorem. It is presented a study on the possibility of an Anosov diff…
Constant periodic data and rigidity
F. Micena
In this work we lead with expanding maps of the circle and Anosov diffeomorphisms on We prove that, for these maps, \textit{constant periodic data} imply…
A Note on Rigidity of Anosov diffeomorphisms of the Three Torus
F. Micena, A. Tahzibi
We consider Anosov diffeomorphisms on such that the tangent bundle splits into three subbundles We show that if is $C^r,…
Pathological center foliation with dimension greater than one
J. S. Costa, F. Micena
In this paper we are considering partially hyperbolic diffeomorphims of the torus, with We prove, under some conditions, that if the all center Lyapunov exponents o…
Some Remarks on Expanding Maps
F Micena
In this work we treat a famous topic in Ergodic Theory and Dynamical Systems: uniformly expanding maps. We relate regularity of expanding maps and conjugacies with Lyapunov exponen…
New Derived from Anosov Diffeomorphisms with pathological center foliation
F. Micena
In this paper we focused our study on Derived From Anosov diffeomorphisms (DA diffeomorphisms ) of the torus it is, an absolute partially hyperbolic diffeomorphism…
Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics
Fernando Micena, Ali Tahzibi
In this work we study relations between regularity of invariant foliations and Lyapunov exponents of partially hyperbolic diffeomorphisms. We suggest a new regularity condition for…