18 citations · 20 across the 4 of their papers we have counts for
6 papers
On the ergodic theory of impulsive semiflows
S. M. Afonso, E. Bonotto, J. Siqueira
We consider impulsive semiflows and establish sufficient conditions to the existence of invariant measures. Namely, the impulsive set and its image are both submanifolds of codimen…
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…
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…
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…
Equilibrium states for impulsive semiflows
Jose F. Alves, Maria Carvalho, Jaqueline Siqueira
We consider impulsive semiflows defined on compact metric spaces and give sufficient conditions, both on the semiflows and the potentials, for the existence and uniqueness of equil…
On Equilibrium States for Partially Hyperbolic Horseshoes
Isabel Rios, Jaqueline Siqueira
We prove existence and uniqueness of equilibrium states for a family of partially hyperbolic systems, with respect to Holder continuous potentials with small variation. The family…