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 21 October 2.00pm

Speaker: Assheton Don, The Open University

Title: Wandering Cauliflowers … and beyond 

Abstract: We discuss the wandering domains arising from the function f(z)=zcosz + 2π, described in Conformal Geometry and Dynamics, Wandering Cauliflowers, 2026.   We recap the techniques used to show the existence of bounded non-congruent wandering domains which, when scaled and re-positioned, converge in Hausdorff metric to the well-known cauliflower Fatou component of a quadratic.  We also discuss the potential for further generalisations of the approach.

• Wednesday 4 November 2.00pm

Speaker: Christina Karafyllia, University of Western Macedonia 

Title: TBA

Abstract: TBA

• Wednesday 18 November 2.00pm

Speaker: Dirk Frettlöh, Bielefeld University

Title: Frieze patterns on aperiodic tilings of the plane

Abstract: In the 70s Conway and Coxeter introduced a combinatorial pattern of integers supported on a square grid satisfying a certain property on each square: the "diamond rule" - essentially saying that the determinant equals one. These frieze patterns attained a lot of interest in recent years. Here we give an introduction to Conway-Coxeter frieze patterns, and a first generalization of these frieze patterns to aperiodic structures by providing two examples of aperiodic frieze patterns of the plane supported on the rhombic Penrose tiling and the Godrèche-Lançon-Billard tiling. That is, we provide a decoration of their vertices with positive integers which satisfy the diamond rule.

This is joint work with Jan Mazáč.

Past seminars and seminar schedule