2 citations · 4 across the 2 of their papers we have counts for
4 papers
Dynamical properties for composition operators on
Carlos F. Álvarez, Javier Henríquez-Amador
Expansivity, Li-Yorke chaos and shadowing are popular and well-studied notions of dynamical systems. Several simple and useful characterizations of these notions within the setting…
Equilibrium states for partially hyperbolic maps with one-dimensional center
Carlos F. Álvarez, Marisa Cantarino
We prove the existence of equilibrium states for partially hyperbolic endomorphisms with one-dimensional center bundle. We also prove, regarding a class of potentials, the uniquene…
Equilibrium states for maps isotopic to Anosov
Carlos F. Álvarez, Adriana Sánchez, Régis Varão
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on $\mathbb{T…
Hyperbolicity of maximal entropy measures for certain maps isotopic to Anosov
Carlos F. Álvarez
We prove the hyperbolicity of ergodic maximal entropy measures for a class of partially hyperbolic diffeomorphisms of , which have a compact two-dimensional center…