6 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
Invariance of entropy for maps isotopic to Anosov
Pablo D. Carrasco, Cristina Lizana, Enrique Pujals +1
We prove the topological entropy remains constant inside the class of partially hyperbolic diffeomorphisms of with simple central bundle (that is, when it decomposes…
A variational principle for impulsive semiflows
Jose F. Alves, Maria Carvalho, Carlos Vasquez
We consider impulsive semiflows defined on compact metric spaces and deduce a variational principle. In particular, we generalize the classical notion of topological entropy to our…
On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics
Vitor Araujo, Carlos H. Vasquez
We show that the time-1 map of an Anosov flow, whose strong-unstable foliation is smooth and minimal, is close to a diffeomorphism having positive central Lyapunov expo…
Stochastic stability of diffeomorphisms with dominated splitting
Jose F. Alves, Vitor Araujo, Carlos H. Vasquez
We prove that the statistical properties of random perturbations of a nonuniformly hyperbolic diffeomorphism are described by a finite number of stationary measures. We also give n…