Ergodic Methods in Complex Dynamics
Yan Mary He (University of Oklahoma)
A hyperbolic rational map in one complex variable provides a natural uniformly hyperbolic dynamical system if we restrict the map to its Julia set. In this talk, I will explain how ergodic theoretic methods can help us understand (hyperbolic) rational maps and (hyperbolic components of) the moduli space. This is based on joint work with Hongming Nie.