3 papers
math.DS2019
Equilibrium states for non-uniformly hyperbolic systems: statistical properties and analyticity
Suzete M. Afonso, Jaqueline Siqueira, Vanessa Ramos
We consider a wide family of non-uniformly expanding maps and hyperbolic Hölder continuous potentials. We prove that the unique equilibrium state associated to each element of this…
math.DS2017
Equilibrium stability for non-uniformly hyperbolic systems
Jose F. Alves, Vanessa Ramos, Jaqueline Siqueira
We prove that for a wide family of non-uniformly hyperbolic maps and hyperbolic potentials we have equilibrium stability, i.e. the equilibrium states depend continuously on the dyn…
math.DS2016
On statistical properties for equilibrium states of partially hyperbolic horseshoes
Vanessa Ramos, Jaqueline Siqueira
We derive some statistical properties for equilibrium states of partially hyperbolic horseshoes. We define a projection map associated to the horseshoe and prove a spectral gap for…