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.


Room 623, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques


Daniel Lenz, University of Jena

entrée libre


Catégorie: Séminaire

Mots clés: groupes et géométrie