F. Micena

activity

20152022

collaborators

8 papers

math.DS2022

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…

math.DS2022

Some sufficient conditions for transitivity of Anosov diffeomorphisms

F. Micena

Given a $C^{2}$ - Anosov diffemorphism $f : M \to M,$ we prove that the jacobian condition $J f^{n} (p) = 1,$ for every point $p$ such that $f^{n} (p) = p,$ implies transitivity. As a…

math.DS2020

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…

math.DS2019

Constant periodic data and rigidity

F. Micena

In this work we lead with expanding maps of the circle and Anosov diffeomorphisms on $T^{d}, d \geq 2.$ We prove that, for these maps, \textit{constant periodic data} imply…

math.DS2018

A Note on Rigidity of Anosov diffeomorphisms of the Three Torus

F. Micena, A. Tahzibi

We consider Anosov diffeomorphisms on $T^{3}$ such that the tangent bundle splits into three subbundles $E_{f}^{s} \oplus E_{f}^{w u} \oplus E_{f}^{s u} .$ We show that if $f$ is $C^r,…

math.DS2017

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 $d im (E^{c}) > 1.$ We prove, under some conditions, that if the all center Lyapunov exponents o…