Aperiodic order and spectral properties
Michael Baake, David Damanik, Uwe Grimm
TL;DR
This paper introduces the concept of aperiodic order and explores its spectral properties, providing an accessible overview of recent mathematical developments related to quasicrystals and their diffraction spectra.
Contribution
It offers a gentle, accessible introduction to aperiodic order and its spectral analysis, connecting modern mathematical theories with quasicrystal diffraction phenomena.
Findings
Overview of aperiodic order and spectral properties
Connection between dynamical systems and diffraction spectra
Summary of recent mathematical advances in quasicrystal theory
Abstract
This article presents a very gentle introduction to the field of aperiodic order, aimed at a general audience. It is intended to provide a "Snapshot of Modern Mathematics" relating to the Oberwolfach mini-workshop "Dynamical versus Diffraction Spectra in the Theory of Quasicrystals" in November/December 2014.
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