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 15 October 1.00pm (online)

Speaker: Annika Moucha, Julius Maximilian University of Würzburg 

Title: Left iteration of indestructible and maximal Blaschke products

Abstract: The composition of two holomorphic self-maps of the open unit disk is a holomorphic self-map of the open unit disk again. The same is true for infinitely many of these functions in the sense that any limit of a left iterated system of holomorphic self-maps is such a function again. There are several composition-invariant subsets of the set of all holomorphic self-maps of the open unit disk and it makes sense to ask whether those are preserved under left iteration, too. A result by G. Ferreira says that this is true for the subset of inner functions whereas it fails for the subset of finite Blaschke products. We show that yet two more subsets are preserved under left iteration: the sets of indestructible and of maximal Blaschke products. This is joint work with Daniela Kraus and Oliver Roth.

Past seminars and seminar schedule