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 12 November 2.00pm (online)

Speaker: Ela Krawczyk, University of Vienna

Title: Tameness and orbit separation dimension of substitution based systems 

Abstract: Orbit separation dimension (also known as amorphic complexity)—introduced by Fuhrmann, Gröger, and Jäger—is a relatively new invariant of topological dynamical systems useful in the study of aperiodic order and low complexity dynamics. Tameness is a well-studied notion usually defined in terms of the size of the Ellis semigroup of the system.

In this talk, we study tameness of symbolic minimal substitutions shifts and self-similar primitive substitution tilings via orbit separation dimension (OSD). We show that, for a broad class of such systems $X$, tameness can be characterized succinctly through OSD: the system $X$ is tame if and only if its orbit separation dimension is zero (in which case the system is finite) or one.

Past seminars and seminar schedule