Open Problems and Conjectures Related to the Theory of Mathematical Quasicrystals

Faustin Adiceam, David Damanik, Franz Gähler, Uwe Grimm, Alan Haynes, Antoine Julien, Andrés Navas, Lorenzo Sadun, Barak Weiss

Research output: Contribution to journalArticlepeer-review

Abstract

This list of problems arose as a collaborative effort among the participants of the Arbeitsgemeinschaft on Mathematical Quasicrystals, which was held at the Mathematisches Forschungsinstitut Oberwolfach in October 2015. The purpose of our meeting was to bring together researchers from a variety of disciplines, with a common goal of understanding different viewpoints and approaches surrounding the theory of mathematical quasicrystals. The problems below reflect this goal and this diversity and we hope that they will motivate further cross-disciplinary research and lead to new advances in our overall vision of this rapidly developing field.

Original languageEnglish
Pages (from-to)579-592
Number of pages14
JournalArnold Mathematical Journal
Volume2
Issue number4
DOIs
StatePublished - 1 Dec 2016

Keywords

  • Conjectures
  • Cut-and-Project Sets
  • Problem set
  • Quasicrystals
  • Tiling

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