Speaker: Anna Jove Campabadal (University of Barcelona)
Title: Constructing periodic points through Pesin theory
Abstract: This talk concerns holomorphic dynamics, and the study of Fatou and Julia sets. In particular, we will address the problem of finnding periodic points in the boundary of attracting and parabolic basins, and some types of Baker domains. For rational maps, F. Przytycki and A. Zdunik proved that periodic points are always dense in the boundary of attracting or parabolic basins. New ideas and techniques to work with transcendental functions will be provided, including a generalization of Pesin theory.
This is joint work with Núria Fagella.