Dynamical Systems seminar - Boundary orbits in Fatou components and the rigid example z+exp(-z)

Dates

Wednesday, November 24, 2021 - 14:00 to 15:00

Speaker: Anna Jové Campabadal (University of Barcelona)

Abstract:  In this talk, we discuss the dynamics of the particular example f(z)=z+exp(-z), which presents infinitely many invariant doubly-parabolic Baker domains. In particular, we are interested in describing the topology of the boundary and the dynamics on it. This includes characterizing the accesses to infinity, periodic points and the escaping set. To do so, first some results on the ergodic properties of boundary maps of inner functions will be presented.