Abstract:

The construction of entire functions by quasi-conformal foldings recently provided by Bishop has allowed him to produce the first know example of wandering domain in Eremenko-Lyubich's class. I shall (re-)introduce this example without going deep into the technical details of the construction. After having explain his strategy (and having refresh our minds), the main purpose of the talk is to show how a recent result of Lasse Rempe and Helena Mihaljevic-Brandt of hyperbolic geometry in transcendental dynamics may be applied to prove that Bishop's example has no other wandering domain than those expected.