JournalsowrVol. 11, No. 4pp. 2987–3013

Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals

  • Michael Baake

    Universität Bielefeld, Germany
  • David Damanik

    Rice University, Houston, United States
  • Uwe Grimm

    The Open University, Milton Keynes, UK
Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals cover
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Abstract

The dynamical (or von Neumann) spectrum of a dynamical system and the diffraction spectrum of the corresponding measure dynamical system are intimately related. While their equivalence in the case of pure point spectra is well understood, this workshop aimed at an appropriate extension to systems with mixed spectra, building on recent developments for systems of finite local complexity and for certain random systems from the theory of point processes. Another focus was the question for connections between Schr¨odinger and dynamical spectra.

Cite this article

Michael Baake, David Damanik, Uwe Grimm, Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals. Oberwolfach Rep. 11 (2014), no. 4, pp. 2987–3013

DOI 10.4171/OWR/2014/53