Abstract:

We will give some ideas of how is possible to construct an absorbing domain for certain domains (including Baker domains) in the context of general meromorphic entire functions. We use this construction to prove that if f is meromorphic transcendental and has an invariant multiply connected Baker domain then the function f must have a weakly repelling fixed point.

This is a joint work with K. Baranski, N. Fagella, B. Karpinska and myself.