# Dynamic rays for transcendental holomorphic self-maps of $C$ and $C^*$

Date:
26.09.11
Times:
10:00 to 12:00
Place:
IMUB - Universitat de Barcelona
Speaker:
David Martí Pete
University:
Universitat de Barcelona

Abstract:

Following Eremenko's conjecture, we study the existence of dynamic rays for transcendental functions. Recently Lasse Rempe et al. gave a positive answer to this question for functions in class $\mathcal B$ of finite order. I will sketch the proof of this result and I will explain how this can be extended to holomorphic self-maps of the punctured plane $\mathbb C^*=\mathbb C\setminus \{0\}$.