Delone dynamical systems and spectral convergence

  title={Delone dynamical systems and spectral convergence},
  author={Siegfried Beckus and Felix Pogorzelski},
  • Siegfried Beckus, Felix Pogorzelski
  • Published 2017
  • Mathematics, Physics
  • 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… CONTINUE READING

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