OU Dynamical Systems seminar

The Dynamical Systems group at the Open University is organising an online seminar series.  

Our group's interests include -but are not restricted to:  Aperiodic Order,  Computer-assisted proofs in dynamical systems,  Energy systems modelling,  Holomorphic Dynamics,  Hyperbolic Geometry and Cocycle Dynamics,  Renormalisation in dynamical systems and its applications,  Symbolic Dynamics,  Tiling Dynamical Systems,  and Topological Dynamics.

Upcoming seminars

• Wednesday 28 January 2.00pm  (online)

Speaker:  Beno Učakar, University of LjubljanaL

Title: On the geometry of unbounded wandering domains 

Abstract: In 2021, Boc Thaler showed that any bounded regular open set without holes can be realised as the wandering domain of some entire function. The natural question is whether a similar result holds for unbounded sets. Trying to adapt Boc Thaler’s approach to the unbounded setting, we run into some technical issues. If we instead only care about the approximate shape of a wandering domain, these turn out not to be such a big deal. We show that any closed set is, in some sense, close to a wandering domain.

Nevertheless, trying to prescribe the shape of an unbounded wandering domain is not completely hopeless. We show that suitable open sets contained inside a strip can be realised as the wandering domain of some entire function.

Past seminars and seminar schedule