1 citations · 1 across the 2 of their papers we have counts for
4 papers
Semicontinuity of entropy, existence of equilibrium states and continuity of physical measures
Vitor Araujo
We obtain some results of existence and continuity of physical measures through equilibrium states and apply these to non-uniformly expanding transformations on compact manifolds w…
Statistical stability of saddle-node arcs
Vitor Araujo, Maria Jose' Pacifico
We study the dynamics of generic unfoldings of saddle-node circle local diffeomorphisms from the measure theoretical point of view, obtaining statistical stability results for dete…
Random perturbations of codimension one homoclinic tangencies in dimension 3
Vitor Araujo
Adding small random parametric noise to an arc of diffeomophisms of a manifold of dimension 3, generically unfolding a codimension one quadratic homoclinic tangency q associated to…
On the uniform hyperbolicity of some nonuniformly hyperbolic systems
Jose F. Alves, Vitor Araujo, Benoit Saussol
We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonunif…