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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.DS2020
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…
math.DS2020
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…