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 26 November 2.00pm

Speaker: Henna Koivusalo, University of Bristol

Title: Dynamical subsets in iterated function systems

Abstract: Questions about recurrence are fundamental to the study of dynamical systems. The classical shrinking target problem concerns the set of points returning infinitely often to a target of fixed position but shrinking size. In this talk I will discuss what is known about the sizes of various dynamical subsets in the context of iterated function systems (IFSs), finishing with a brand new result on shrinking targets. This new result completely resolves the problem of finding the Hausdorff dimension of the shrinking target set in generic affine IFSs for dynamical targets. In contrast to past works on the topic, this new result requires no multiplicativity condition on the affine IFS. 

The new work is joint with Lingming Liao, Ian Morris and Michal Rams.

Past seminars and seminar schedule