3 papers
math.DS2026
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…
math.DS2026
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.…
math.DS2023
Rigidity of Lyapunov exponents for derived from Anosov diffeomorphisms
José Santana Costa, Ali Tahzibi
For a class of volume preserving partially hyperbolic diffeomorphisms (or non-uniformly Anosov) $f\colon {\T}^d\rightarrow{\T}^d$ homotopic to linear Anosov automorphism, we show t…