Topological and Combinatorial Problems in One-dimensional Complex Dynamics

Bishop's examples of wandering domains in Eremenko-Lyubich's class

speaker: Sébastien Godillon (Universitat de Barcelona)

abstract: The construction of transcendental entire functions by quasiconformal foldings recently provided by Bishop has allowed him to produce the first know example of wandering domains in Eremenko-Lyubich's class. I shall introduce this example without going deep into the technical details of the construction. We shall see that Bishop's example has no other wandering domains than those expected according to a recent result of Rempe and Mihaljevic-Brandt in hyperbolic geometry for transcendental dynamics. Finally, the main purpose of the talk is to show how to perturb Bishop's example to produce two maps in Eremenko-Lyubich's class having both no wandering domains but whose composition has some.

timetable:
Mon 14 Oct, 17:15 - 17:45, Aula Dini
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