On some dynamical systems of number-theoretic origin

13.01.2023 16:45 - 18:15

Michael Baake (Bielefeld)

Abstract: Square-free integers and visible lattice points give rise to dynamical systems with intruiging properties, among them their pure point spectrum despite positive topological entropy. A better understanding can be reached by analysing them within Meyer's framework of weak model sets, but this is only a first step. Quantities such as their extended symmetries or their entropy are related to number-theoretic notions, thus making them an interesting model class for the interplay between dynamics and number theory.


Henk Bruin, Peter Balint


IST Austria, Big Seminar room Ground floor / Office Bldg West (I21.EG.101)