EVENT DETAILS AND ABSTRACT

Title: Universality of topological models for measure-preserving systems
Speaker: Anthony Quas
Speaker Info: University of Victoria
Brief Description:
Special Note:
Abstract:

The Krieger generator theorem states that any aperiodic measure-preserving system (X,mu,T) can be (measure-theoretically) embedded in a full shift with n symbols provided the measure-theoretic entropy of mu is less than the topological entropy of the shift. We call this property universality. We investigate a wider class of systems with this property and apply these ideas to address the following question:

If (T_t) is the geodesic flow on a compact negatively curved manifold, is a minimal subset under the flow necessarily minimal under the time one map of the flow?