8 citations · 15 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
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…
Statistical stability of mostly expanding diffeomorphisms
Martin Andersson, Carlos H. Vásquez
We study how physical measures vary with the underlying dynamics in the open class of , , strong partially hyperbolic diffeomorphisms for which the central Lyapunov expon…
Structure of accessibility classes
Jana Rodriguez-Hertz, Carlos H. Vásquez
In this work we deal with partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are immersed manifolds…
On mostly expanding diffeomorphisms
Martin Andersson, Carlos H. Vásquez
In this work we study the class of mostly expanding partially hyperbolic diffeomorphisms. We prove that such class is -open, , among the partially hyperbolic diffeomorphi…
Lyapunov exponents for families of rotated linear cocycles
Pancho Valenzuela-Henríquez, Carlos H. Vásquez
In this work, we are interested in the study of the upper Lyapunov exponent associated to the periodic family of cocycles defined by whe…
On the non-robustness of intermingled basins
Raúl Ures, Carlos H. Vásquez
It is well-known that it is possible to construct a partially hyperbolic diffeomorphism on the 3-torus in a similar way than in Kan's example. It has two hyperbolic physical measur…