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European Mathematical Society Publishing House
2016-09-19 17:05:22
Oberwolfach Reports
Oberwolfach Rep.
OWR
1660-8933
1660-8941
General
10.4171/OWR
http://www.ems-ph.org/doi/10.4171/OWR
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© Mathematisches Forschungsinstitut Oberwolfach
11
2014
4
Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals
Michael
Baake
Universität Bielefeld, BIELEFELD, GERMANY
David
Damanik
Rice University, HOUSTON, UNITED STATES
Uwe
Grimm
The Open University, MILTON KEYNES, UNITED KINGDOM
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.
Dynamical systems and ergodic theory
Convex and discrete geometry
Quantum theory
2987
3013
10.4171/OWR/2014/53
http://www.ems-ph.org/doi/10.4171/OWR/2014/53