Analysis Seminar

In dynamics of holomorphic maps a wandering domain is a component of the normality set whose iterates never meet. In this talk we describe the dynamics of orbits inside simply connected wandering domains related to their distance to each other or to the boundary of the domains. We relate this classification to the presence of singular orbits outside but near the wandering components.

Our results is also related to non-autonomous holomorphic dynamical systems on the unit disk.