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
Senior Editor:
Carla Cederbaum
Junior Editor:
Johannes Niediek

License

DOI (Digital Object Identifier)

10.14760/SNAP-2017-003-EN

Download PDF

PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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