Wednesday, November 19, 2014

Uniqueness of equilibrium states for a family of partially hyperbolic systems

Jaqueline Siqueira
(Faculdade de Ciências - Universidade do Porto)

Abstract: In this joint work with Isabel Rios we prove the existence and uniqueness of equilibrium states associated to Holder continuous potentials with small variation for a family of partially hyperbolic systems. This family related to the three-dimensional horseshoe introduced by Díaz, Horita, Sambarino and Rios in 2009. The ergodic properties of this model were studied by Leplaideur, Oliveira and Rios in 2011. In this last work, the authors proved the existence of a regular potential (with big variation) which has two mutually singular equilibrium states.

Wednesday, November 19, 2014
Time: 10h30
Room: C6.2.51, Faculdade de Ciências, UL