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Diffraction of a binary non-Pisot inflation tiling

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Baake, M and Grimm, U 2017 , 'Diffraction of a binary non-Pisot inflation tiling', in AP Tsai and HR Sharma and R Lifshitz and R Tamura (eds.), Journal of Physics: Conference Series , Institute of Physics Publishing Ltd., United Kingdom, pp. 1-4 , doi: 10.1088/1742-6596/809/1/012026.

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Abstract

A 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.

Item Type: Conference Publication
Authors/Creators:Baake, M and Grimm, U
Keywords: bragg peaks, diffraction spectra, inflation factors, inflation rule
Journal or Publication Title: Journal of Physics: Conference Series
Publisher: Institute of Physics Publishing Ltd.
ISSN: 1742-6588
DOI / ID Number: 10.1088/1742-6596/809/1/012026
Copyright Information:

Copyright 2017 IOP Publishing Ltd. Licensed under Creative Commons Attribution 3.0 licence (CC BY 3.0) https://creativecommons.org/licenses/by/3.0/

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