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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.…