Aperiodic Order and Spectral Properties

Snapshots of modern mathematics from Oberwolfach

Aperiodic Order and Spectral Properties

Periodic structures like a typical tiled kitchen floor or the arrangement of carbon atoms in a diamond crystal certainly possess a high degree of order. But what is order without periodicity? In this snapshot, we are going to explore highly ordered structures that are substantially nonperiodic, or aperiodic. As we construct such structures, we will discover surprising connections to various branches of mathematics, ma- terials science, and physics. Let us catch a glimpse into the inherent beauty of aperiodic order! 

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Mathematical subjects

Algebra and Number Theory
Analysis
Discrete Mathematics and Foundations
Geometry and Topology

Author(s)

Michael Baake, David Damanik, Uwe Grimm

License

DOI (Digital Object Identifier)

10.14760/SNAP-2017-003-EN

Download PDF

snapshot-2017-003.pdf

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Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
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Connections to other fields

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Physics
Reflections on Mathematics

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