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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
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Algebra and Number Theory
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Analysis
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Discrete Mathematics and Foundations
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Geometry and Topology
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DOI (Digital Object Identifier)
10.14760/SNAP-2017-003-EN
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snapshots: overview
Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algebra and Number Theory
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analysis
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Didactics and Education
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Discrete Mathematics and Foundations
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometry and Topology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/scientific-computing-13.png?itok=ITl1i8bo)
Numerics and Scientific Computing
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Probability Theory and Statistics
Connections to other fields
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Chemistry and Earth Science
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Computer Science
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Engineering and Technology
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Finance
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Humanities and Social Sciences
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Life Science
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Physics
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Reflections on Mathematics