Ober­se­mi­nar "Num­ber Theo­ry and Arith­me­ti­cal Sta­ti­stics": Mi­cha­el Baa­ke (Bie­le­feld), Dy­na­mi­cal and spec­tral pro­per­ties of some shift spaces of num­ber-the­o­re­tic ori­gin

Ort: D2.314 Medienraum
Veranstalter: Prof. Dr. Jürgen Klüners

Titel: Dynamical and spectral properties of some shift spaces of number-theoretic origin

Abstract: While B-free systems in one dimension have been studied for a long time, considerably less is known on their higher-dimensional analogues. Starting from the visible points of the integer lattice, a large class of such systems emerge via k-free integers in algebraic number fields. We discuss typical examples with some focus on their spectral properties and on topological invariants such as entropy and (extended) symmetries.