Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
|December 2020||February 2021|
Events for 14 January 2021
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Amorphic complexity is a conjugacy invariant which is particularly suitable to distinguish low complexity (specifically: zero entropy) dynamical systems. Here, a dynamical system is understood as a continuous action of a topological group on a compact space. We will introduce amorphic complexity (as well as the closely related concept of asymptotic separation numbers) and discuss some of its basic properties. We further take a closer look at its values for specific classes of examples including substitutive subshifts and, if time allows, regular cut and project schemes. This will allow us to observe surprisingly straight-forward connections to fractal geometry. I will provide definitions of all of the relevant non-standard notions so that the talk should be understandable by a broad audience.
This is joint work with Maik Gröger, Tobias Jäger and Dominik Kwietniak (carried out by three different subsets of the four of us).
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