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pro vyhledávání: '"Micena A"'
How often does it occur that the measure of maximal entropy of a system is an SRB measure? We study this question for $C^{1+\alpha}$ partially hyperbolic diffeomorphisms isotopic to Anosov (DA-diffeomorphisms) on ${\mathbb T}^{3}$, and establish a ri
Externí odkaz:
http://arxiv.org/abs/2404.05645
Autor:
Costa, José Santana, Micena, Fernando
This work is addressed to study Anosov endomorphisms of $\mathbb{T}^d,$ $d\geq 3.$ We are interested to obtain metric and topological information on such Anosov endomorphism by comparison between their Lyapunov exponents and the ones of its lineariza
Externí odkaz:
http://arxiv.org/abs/2305.02298
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:
Aguiar de Sousa, Rafael, Costa, Samuel Macedo, Almeida Figueiredo, Pedro Henrique, Camargos, Caroline Rabelo, Ribeiro, Bruna Campos, Alves e Silva, Micena Roberta Miranda
Publikováno v:
In The Journal of the American Dental Association March 2024 155(3):227-232
Autor:
Micena, Fernando
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 diffeomorphism has finitely many measures of maximal entropy and each on
Externí odkaz:
http://arxiv.org/abs/2011.06196
Autor:
Micena, Fernando, de la Llave, Rafael
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 diffeomorphisms having all Lyapunov exponents defined everywhere. We prove
Externí odkaz:
http://arxiv.org/abs/2006.00406
Autor:
Micena, Fernando
We obtain smooth conjugacy between non-necessarily special Anosov endomorphisms in the conservative case. Among other results, we prove that a strongly special $C^{\infty}-$Anosov endomorphism of $\mathbb{T}^2$ and its linearization are smoothly conj
Externí odkaz:
http://arxiv.org/abs/2006.00407