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Diffraction of a binary non-Pisot inflation tiling

Citation

Baake, M and Grimm, U, Diffraction of a binary non-Pisot inflation tiling, Journal of Physics: Conference Series, 18-23 September 2016, Kathmandu, Nepal, pp. 1-4. ISSN 1742-6588 (2017) [Refereed Conference Paper]


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

DOI: doi:10.1088/1742-6596/809/1/012026

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 Details

Item Type:Refereed Conference Paper
Keywords:bragg peaks, diffraction spectra, inflation factors, inflation rule
Research Division:Physical Sciences
Research Group:Other Physical Sciences
Research Field:Physical Sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Grimm, U (Professor Uwe Grimm)
ID Code:125300
Year Published:2017
Web of Science® Times Cited:1
Deposited By:Mathematics and Physics
Deposited On:2018-04-12
Last Modified:2018-05-22
Downloads:9 View Download Statistics

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