Equilibrium states for almost-Anosov diffeomorphisms
Speaker: Dominic Veconi, Penn State
Abstract: Almost-Anosov diffeomorphisms form a mild generalization of Anosov diffeomorphisms, and thus make for a good class of maps to investigate when studying nonuniformly hyperbolic behavior. In this talk, I will discuss existence and uniqueness of equilibrium states for non-Hölder geometric potentials using Young towers. I will additionally discuss how one can use thermodynamics of hyperbolic towers to prove exponential decay of correlations and the central limit theorem for these equilibrium measures. This short talk is in preparation for the University of Maryland Workshop on Dynamical Systems and Related Topics.
Room Reservation Information
Room Number: 106 McAllister
Time: 5:30pm - 8:00pm