125300 - Diffraction of a binary non-Pisot inflation tiling.pdf (400.45 kB)
Diffraction of a binary non-Pisot inflation tiling
conference contribution
posted on 2023-05-23, 13:27 authored by Baake, M, Uwe GrimmA one-parameter family of binary inflation rules in one dimension is considered. Apart from the first member, which is the well-known Fibonacci rule, no inflation factor is a unit. We identify all cases with pure point spectrum, and discuss the diffraction spectra of other members of the family. Apart from the trivial Bragg peaks at the origin, they have purely singular continuous diffraction.
History
Publication title
Journal of Physics: Conference SeriesVolume
809Editors
AP Tsai, HR Sharma, R Lifshitz, R TamuraPagination
1-4ISSN
1742-6588Department/School
School of Natural SciencesPublisher
Institute of Physics Publishing Ltd.Place of publication
United KingdomEvent title
The 13th International Conference on QuasicrystalsEvent Venue
Kathmandu, NepalDate of Event (Start Date)
2016-09-18Date of Event (End Date)
2016-09-23Rights statement
Copyright 2017 IOP Publishing Ltd. Licensed under Creative Commons Attribution 3.0 licence (CC BY 3.0) https://creativecommons.org/licenses/by/3.0/Repository Status
- Open