Almost periodicity and discrete spectrum for topological dynamical systems (Daniel Lenz, University of Jena)

09.10.2018 10:30

We study dynamical systems (X,G,m) with a compact metric space X, a locally compact, σ-compact, abelian group G and aninvariant probability measure m. We show that such a system has discrete spectrum if and only if a certain space average over the metric is a Bohr almost periodic function. In this way, this average over the metric plays for general dynamical systems a similar role as the autocorrelation measure plays in the study of aperiodic order for special dynamical systems based on point sets.

Lieu

Room 623, Séminaire "Groupes et Géométrie"

entrée libre