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pro vyhledávání: '"Micena, F."'
Autor:
Micena, F.
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 unstable leaf meets on a set of zero measure the set for which is defin
Externí odkaz:
http://arxiv.org/abs/2207.13986
Autor:
Micena, F.
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 exponents on the set of periodic points and the structure of the MME we ge
Externí odkaz:
http://arxiv.org/abs/2203.08934
Autor:
Micena, F.
Given a $C^2$- Anosov diffemorphism $f: M \rightarrow M,$ we prove that the jacobian condition $Jf^n(p) = 1,$ for every point $p$ such that $f^n(p) = p,$ implies transitivity. As application in the celebrated theory of Sinai-Ruelle-Bowen, this result
Externí odkaz:
http://arxiv.org/abs/2203.08930
Autor:
Micena, F., Costa, J. S. C.
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 get center leaf conjugacy with the linear part, for a class of partiall
Externí odkaz:
http://arxiv.org/abs/2112.00051
Autor:
Micena, F.
In this work we lead with expanding maps of the circle and Anosov diffeomorphisms on $\mathbb{T}^d, d \geq 2.$ We prove that, for these maps, \textit{constant periodic data} imply \textit{same periodic data of these maps and their linearizations}, so
Externí odkaz:
http://arxiv.org/abs/1903.11595
Autor:
Micena, F., Tahzibi, A.
We consider Anosov diffeomorphisms on $\mathbb{T}^3$ such that the tangent bundle splits into three subbundles $E^s_f \oplus E^{wu}_f \oplus E^{su}_f.$ We show that if $f$ is $C^r, r \geq 2,$ volume preserving, then $f$ is $C^1$ conjugated with its l
Externí odkaz:
http://arxiv.org/abs/1805.12288
Autor:
Costa, J. S., Micena, F.
In this paper we are considering partially hyperbolic diffeomorphims of the torus, with $dim(E^c) > 1.$ We prove, under some conditions, that if the all center Lyapunov exponents of the linearization $A,$ of a \mbox{DA-diffeomorphism} $f,$ are positi
Externí odkaz:
http://arxiv.org/abs/1705.05422
Autor:
Micena, F
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 exponents, metric and topological entropies for expanding maps of the circle.
Externí odkaz:
http://arxiv.org/abs/1603.06412
Autor:
Micena, F.
In this paper we focused our study on Derived From Anosov diffeomorphisms (DA diffeomorphisms ) of the torus $\mathbb{T}^3,$ it is, an absolute partially hyperbolic diffeomorphism on $\mathbb{T}^3$ homotopic to an Anosov linear automorphism of the $\
Externí odkaz:
http://arxiv.org/abs/1505.02662
Autor:
Micena, F., Tahzibi, A.
Despite the invertible setting, Anosov endomorphisms may have infinitely many unstable directions. Here we prove, under transitivity assumption, that an Anosov endomorphism on a closed manifold $M,$ is either special (that is, every $x \in M$ has onl
Externí odkaz:
http://arxiv.org/abs/1412.0629