Can I read Delone Dynamical Systems and Spectral Convergence on EtoBox?

Delone Dynamical Systems and Spectral Convergence by Beckus, Siegfried; Pogorzelski, Felix is a scholarly article available to read on EtoBox.

What is Delone Dynamical Systems and Spectral Convergence about?

In the realm of Delone sets in locally compact, second countable, Hausdorff groups, we develop a dynamical systems approach in order to study the continuity behavior of measured quantities arising from point sets. A special focus is both on the autocorrelation, as well as on the density of states for random bounded operators. It is shown that for uniquely ergodic limit systems, the latter measures behave continuously with respect to the Chabauty-Fell convergence of hulls. In the special situation of Euclidean spaces, our results complement recent developments in describing spectra as topological limits: we show that the measured quantities under consideration can be approximated via periodic analogs.

Author

Beckus, Siegfried; Pogorzelski, Felix

Published

2017

Language

EN