Event № 654
Delone sets in a metric space are point sets in which there is a minimal distance between points and which at the same time admits gaps of bounded size only.
With additional analytic and geometric data, one naturally obtains bounded, linear operators modeling quantum mechanical phenomena. In the realm of locally compact, second countable groups, we study the continuity behaviour of the spectral distribution of such operators with respect to the underlying geometry. We show how convergence of dynamical systems implies convergence of the density of states measure in the weak-*-topology.
Joint work with Siegfried Beckus.