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math.DS2020
Measures maximizing the entropy for Kan endomorphisms
Bárbara Núñez-Madariaga, Sebastián A. Ramírez, Carlos H. Vásquez
In 1994, Ittai Kan provided the first examples of maps with intermingled basins. The Kan example corresponds to a partially hyperbolic endomorphism defined on a surface with the bo…
math.DS2020★ 1 cited
Regularity of Lyapunov Exponents for Diffeomorphisms with Dominated Splitting
Radu Saghin, Pancho Valenzuela-Henríquez, Carlos H. Vásquez
We consider families of diffeomorphisms with dominated splittings and preserving a Borel probability measure, and we study the regularity of the Lyapunov exponents associated to th…