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 10 December 2.00pm

Speaker: Ayesha Bennett, University of Cambridge

Title: Shrinking target and recurrence for non-autonomous systems 

Abstract: Study of zero-one laws for shrinking target and recurrence set are classically motivated from Diophantine approximation, but have many, broader applications. For example, shrinking target laws for  non-autonomous (i.e compositional) of inner functions have applications in the study of simply connected wandering domains associated to certain transcendental maps.  I will present a new, non-autonomous zero-one law for the shrinking target set of a general system, and also an autonomous zero-one law for the recurrence set of a natural subclass of inner functions. We will examine the proof strategy of both, with the aim of understanding the obstacles to upgrading the recurrence result to the  non-autonomous setting. 

Past seminars and seminar schedule