Aperiodic order via dynamical systems: Diffraction for sets of finite local complexity

Details Aperiodic order via dynamical systems: Diffraction for sets of finite local complexity Aperiodic order via dynamical systems: Diffraction for sets of finite local complexity

2007-12-09

arxiv.org/abs/0712.1323v1

Mathematics

Dynamical Systems

22 pages

Scientific paper

We give an introduction into diffraction theory for aperiodic order. We focus
on an approach via dynamical systems and the phenomenon of pure point
diffraction. We review recent results and sketch proofs. We then present a new
uniform Wiener/Wintner type result generalizing various earlier results of this
type.

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