Seminari del Dipartimento
Analisi Matematica Almost periodicity and discrete spectrum for topological
dynamical systems
Daniel Lenz 29-11-2018 - 16:00 Largo San Leonardo Murialdo,1 - Pal.C - Aula 211
We study dynamical systems (X,G,m) with a compact metric space X, a locally compact, s -compact, abelian group G and an invariant 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. |