Asymptotic estimates of large gaps between directions in certain planar quasicrystals
Abstract For quasicrystals of cut‐and‐project type in , it was proved by Marklof and Strömbergsson [Int. Math. Res. Not. IMRN (2015), no. 15, 6588–6617; erratum, ibid. 2020] that the limit local statistical properties of the directions to the points in the set are described by certain ‐invariant point processes. In this paper, we make a detailed study of the tail asymptotics of the limiting gap statistics of the directions, for certain specific classes of planar quasicrystals.
Authors
- Andreas Strömbergsson (ORCID: https://orcid.org/0000-0001-6141-4707)
- Gustav Hammarhjelm (ORCID: https://orcid.org/0000-0003-0194-5498)
- Shu-Cheng Yu (ORCID: https://orcid.org/0000-0002-7557-0468)
Institutions
- Uppsala University (SE)
- University of Science and Technology of China (CN)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-05-30
- DOI
- https://doi.org/10.1112/jlms.70187
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Knut och Alice Wallenbergs Stiftelse
- National Key Research and Development Program of China