On a construction of an entire function with a simply connected wandering domain using approximation theory [ Back ]

Date:
11.10.18   
Times:
12:00 to 13:00
Place:
IMUB-Universitat de Barcelona
Speaker:
Vasiliki Evdoridou
University:
Open University

Abstract:

 

In this talk we use approximation theory to construct a transcendental entire function $f$ which has a sequence of bounded, simply connected, escaping wandering domains $\{U_n\}_{n \geq 0}$. Furthermore, we show that for any pair of points $z,w$ in $U_1$ the hyperbolic distance in $U_{n+1}$ between $f^n(z)$ and $f^n(w)$ decreases but does not tend to 0 as n tends to infinity.