Dynamical Systems Seminar

In the case of negatively curved manifolds, unique equilibrium states for the geodesic flow have the Bernoulli property, meaning that in one sense, they are the "most random" they can be. However, for equilibrium states in more general settings, proofs of uniqueness and higher mixing properties often do not go hand in hand. I will discuss methods for showing the K-property and the Bernoulli property for unique equilibrium states in the setting of the geodesic flow on translation surfaces, which is joint work with Dave Constantine, Alena Erchenko, Noelle Sawyer, and Grace Work. The methods used are general and can be applied elsewhere as well.