Spectral Structures and Topological Methods in Mathematical Quasicrystals
Author(s) -
Michael Baake,
David Damanik,
Johannes Kellendonk,
H. Daniel Lenz
Publication year - 2018
Publication title -
oberwolfach reports
Language(s) - English
Resource type - Journals
eISSN - 1660-8941
pISSN - 1660-8933
DOI - 10.4171/owr/2017/46
Subject(s) - quasicrystal , aperiodic graph , focus (optics) , field (mathematics) , topology (electrical circuits) , algebraic topology , theoretical physics , computer science , mathematics , physics , pure mathematics , geometry , optics , combinatorics , homotopy
The mathematical theory of aperiodic order grew out of various predecessors in discrete geometry, harmonic analysis and mathematical physics, and developed rapidly after the discovery of real world quasicrystals in 1982 by Shechtman. Many mathematical disciplines have contributed to the development of this field. In this meeting, the goal was to bring leading researchers from several of them together to exchange the state of affairs, with special focus on spectral aspects, dynamics and topology.
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