Lucky Horseshoes: Finding Equilibrium in a Chaotic World
Jaqueline Siqueira (UFRJ)

When a dynamical system admits multiple invariant probability measures, a natural and effective way to identify a meaningful one is to select those that maximize the system’s topological pressure—these are known as equilibrium states. This talk is concerned with the uniqueness of equilibrium states for partially hyperbolic horseshoes associated with Hölder continuous potentials of small variation. (Joint work with Isabel Rios.) In addition, we discuss the exponential decay of correlations and a central limit theorem for these systems. (Joint work with Vanessa Ramos.)